메뉴 건너뛰기




Volumn 26, Issue 6, 2004, Pages 369-395

Survey of multi-objective optimization methods for engineering

Author keywords

Engineering; Multi criteria; Multi objective; Optimization

Indexed keywords

COMPUTER SOFTWARE; FUNCTIONS; GENETIC ALGORITHMS; OPTIMIZATION; PROBLEM SOLVING; VECTORS;

EID: 2442535151     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-003-0368-6     Document Type: Review
Times cited : (3965)

References (159)
  • 1
    • 0029343495 scopus 로고
    • Global optimization methods for engineering applications: A review
    • Arora, J.S.; Elwakeil, O.A.; Chahande, A.I.; Hsieh, C.C. 1995: Global optimization methods for engineering applications: a review. Struct. Optim. 9, 137-159
    • (1995) Struct. Optim. , vol.9 , pp. 137-159
    • Arora, J.S.1    Elwakeil, O.A.2    Chahande, A.I.3    Hsieh, C.C.4
  • 2
    • 0030387776 scopus 로고    scopus 로고
    • A note on weighted criteria methods for compromise solutions in multi-objective optimization
    • Athan, T.W.; Papalambros, P.Y. 1996: A note on weighted criteria methods for compromise solutions in multi-objective optimization. Eng. Optim. 27, 155-176
    • (1996) Eng. Optim. , vol.27 , pp. 155-176
    • Athan, T.W.1    Papalambros, P.Y.2
  • 3
    • 0001315066 scopus 로고
    • Über Algorithmen zur Ermittlung und Charakterisierung Pareto-optimaler Lösungen bei Entwurfsaufgaben Elastischer Tragwerke
    • Baier, H. 1977: Über Algorithmen zur Ermittlung und Charakterisierung Pareto-optimaler Lösungen bei Entwurfsaufgaben Elastischer Tragwerke. Z. Angew. Math. Mech. 57, 318-320
    • (1977) Z. Angew. Math. Mech. , vol.57 , pp. 318-320
    • Baier, H.1
  • 4
    • 84991088875 scopus 로고
    • Multi-objective optimization of laminated ceramic composites using genetic algorithms
    • (held in Panama City Beach) Washington, DC: American Institute of Aeronautics and Astronautics
    • Belegundu, A.D.; Murthy, D.V.; Salagame, R.R.; Contans, E.W. 1994: Multi-objective optimization of laminated ceramic composites using genetic algorithms. In: 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization (held in Panama City Beach), pp. 1055-1022. Washington, DC: American Institute of Aeronautics and Astronautics
    • (1994) 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization , pp. 1055-1022
    • Belegundu, A.D.1    Murthy, D.V.2    Salagame, R.R.3    Contans, E.W.4
  • 5
    • 0020884975 scopus 로고
    • A variational formulation for multicriteria structural optimization
    • Bendsoe, M.P.; Olhoff, N.; Taylor, J.E. 1984: A variational formulation for multicriteria structural optimization. J. Struct. Mech. 11, 523-544
    • (1984) J. Struct. Mech. , vol.11 , pp. 523-544
    • Bendsoe, M.P.1    Olhoff, N.2    Taylor, J.E.3
  • 6
    • 0018058494 scopus 로고
    • Existence of efficient solutions for vector maximization problems
    • Benson, H.P. 1978: Existence of efficient solutions for vector maximization problems. J. Optim. Theory Appl. 26, 569-580
    • (1978) J. Optim. Theory Appl. , vol.26 , pp. 569-580
    • Benson, H.P.1
  • 7
    • 0343372862 scopus 로고
    • A smooth technique for non-differentiable optimization problems
    • Dolecki, S. (ed.) (held in Castel-Novel 1988), Lecture Notes in Mathematics, No. 1405. Berlin: Springer-Verlag
    • Ben-Tal, A.; Teboulle, M. 1989: A smooth technique for non-differentiable optimization problems. In: Dolecki, S. (ed.) Optimization, Proceedings of the Fifth French-German Conference (held in Castel-Novel 1988), Lecture Notes in Mathematics, No. 1405, pp. 1-11. Berlin: Springer-Verlag
    • (1989) Optimization, Proceedings of the Fifth French-German Conference , pp. 1-11
    • Ben-Tal, A.1    Teboulle, M.2
  • 8
    • 0015617844 scopus 로고
    • Principal methods for solution of multicriteria optimization problems (survey)
    • Boychuk, L.M.; Ovchinnikov, V.O. 1973: Principal methods for solution of multicriteria optimization problems (survey). Sov. Autom. Control 6, 1-4
    • (1973) Sov. Autom. Control , vol.6 , pp. 1-4
    • Boychuk, L.M.1    Ovchinnikov, V.O.2
  • 10
    • 2442577420 scopus 로고
    • Simple tests for multicriteria optimality
    • Brosowski, B.; da Silva, A.R. 1994: Simple tests for multicriteria optimality. OR Spektrum 16, 243-247
    • (1994) OR Spektrum , vol.16 , pp. 243-247
    • Brosowski, B.1    Da Silva, A.R.2
  • 11
    • 0019026922 scopus 로고
    • Computation of Pareto optima in structural design
    • Carmichael, D.G. 1980: Computation of Pareto optima in structural design. Int. J. Numer. Methods Eng. 15, 925-952
    • (1980) Int. J. Numer. Methods Eng. , vol.15 , pp. 925-952
    • Carmichael, D.G.1
  • 14
    • 0039173876 scopus 로고
    • Effective control through coherent decentralization with preemptive goals
    • Charnes, A.; Glower, R.W.; Kortanek, K.O. 1967: Effective control through coherent decentralization with preemptive goals. Econometrica 35, 294-320
    • (1967) Econometrica , vol.35 , pp. 294-320
    • Charnes, A.1    Glower, R.W.2    Kortanek, K.O.3
  • 16
    • 85024556804 scopus 로고
    • Goal programming and multiple objective optimization; part 1
    • Charnes, A.; Cooper, W.W. 1977: Goal programming and multiple objective optimization; part 1. Eur. J. Oper. Res. 1, 39-54
    • (1977) Eur. J. Oper. Res. , vol.1 , pp. 39-54
    • Charnes, A.1    Cooper, W.W.2
  • 17
    • 0001741165 scopus 로고
    • Optimal estimation of executive compensation by linear programming
    • Charnes, A.; Cooper, W.W.; Ferguson, R.O. 1955: Optimal estimation of executive compensation by linear programming. Manage. Sci. 1, 138-151
    • (1955) Manage. Sci. , vol.1 , pp. 138-151
    • Charnes, A.1    Cooper, W.W.2    Ferguson, R.O.3
  • 18
    • 0034206173 scopus 로고    scopus 로고
    • Exploration of the effectiveness of physical programming in robust design
    • Chen, W.; Sahai, A.; Messac, A.; Sundararaj, G. 2000: Exploration of the effectiveness of physical programming in robust design. J. Mech. Des. 122, 155-163
    • (2000) J. Mech. Des. , vol.122 , pp. 155-163
    • Chen, W.1    Sahai, A.2    Messac, A.3    Sundararaj, G.4
  • 19
    • 0032627814 scopus 로고    scopus 로고
    • Quality utility - A compromise programming approach to robust design
    • Chen, W.; Wiecek, M.M.; Zhang, J. 1999: Quality utility - a compromise programming approach to robust design. J. Mech. Des. 121, 179-187
    • (1999) J. Mech. Des. , vol.121 , pp. 179-187
    • Chen, W.1    Wiecek, M.M.2    Zhang, J.3
  • 20
    • 0030105358 scopus 로고    scopus 로고
    • Multiobjective optimization of structures with and without control
    • Cheng, F.Y.; Li, D. 1996: Multiobjective optimization of structures with and without control. J. Guid. Control Dyn. 19, 392-397
    • (1996) J. Guid. Control Dyn. , vol.19 , pp. 392-397
    • Cheng, F.Y.1    Li, D.2
  • 21
    • 0031235655 scopus 로고    scopus 로고
    • Multiobjective optimization design with Pareto genetic algorithm
    • September
    • Cheng, F.Y.; Li, D. 1997: Multiobjective optimization design with Pareto genetic algorithm. J. Struct. Eng. September, 1252-1261
    • (1997) J. Struct. Eng. , pp. 1252-1261
    • Cheng, F.Y.1    Li, D.2
  • 22
    • 11644257573 scopus 로고    scopus 로고
    • Genetic algorithm development for multiobjective optimization of structures
    • Cheng, F.Y.; Li, D. 1998: Genetic algorithm development for multiobjective optimization of structures. AIAA J. 36, 1105-1112
    • (1998) AIAA J. , vol.36 , pp. 1105-1112
    • Cheng, F.Y.1    Li, D.2
  • 23
    • 2442595440 scopus 로고    scopus 로고
    • A generalized center method for multiobjective optimization
    • Frangopol, D.M. (ed.). Reston: American Society of Civil Engineers
    • Cheng, F.Y.; Li, X.S. 1998b: A generalized center method for multiobjective optimization. In: Frangopol, D.M. (ed.) Optimal Performance of Civil Infrastructure Systems. Reston: American Society of Civil Engineers
    • (1998) Optimal Performance of Civil Infrastructure Systems
    • Cheng, F.Y.1    Li, X.S.2
  • 24
    • 0032187841 scopus 로고    scopus 로고
    • Multi-objective optimization with stochastic algorithms and fuzzy definition of objective function
    • Chiampi, M.; Fuerntratt, G.; Magele, C.; Ragusa, C.; Repetto, M. 1998: Multi-objective optimization with stochastic algorithms and fuzzy definition of objective function. Int. J. Appl. Electromagn. Mech. 9, 381-389
    • (1998) Int. J. Appl. Electromagn. Mech. , vol.9 , pp. 381-389
    • Chiampi, M.1    Fuerntratt, G.2    Magele, C.3    Ragusa, C.4    Repetto, M.5
  • 25
    • 0020799960 scopus 로고
    • Proper efficiency in nonconvex multicriteria programming
    • Choo, E.-U.; Atkins, D.R. 1983: Proper efficiency in nonconvex multicriteria programming. Math. Oper. Res. 8, 467-470
    • (1983) Math. Oper. Res. , vol.8 , pp. 467-470
    • Choo, E.-U.1    Atkins, D.R.2
  • 27
    • 0019049104 scopus 로고
    • A new scalar equivalence for Pareto optimization
    • Corley, H.W. 1980: A new scalar equivalence for Pareto optimization. IEEE Trans. Autom. Control 25, 829-830
    • (1980) IEEE Trans. Autom. Control , vol.25 , pp. 829-830
    • Corley, H.W.1
  • 29
    • 0000898246 scopus 로고    scopus 로고
    • An improved technique for choosing parameters for Pareto surface generation using normal-boundary intersection
    • (held in Buffalo). Buffalo: University of Buffalo, Center for Advanced Design
    • Das, I. 1999: An improved technique for choosing parameters for Pareto surface generation using normal-boundary intersection. In: ISSMO/UBCAD/AIASA, Third World Congress of Structural and Multidisciplinary Optimization (held in Buffalo). Buffalo: University of Buffalo, Center for Advanced Design
    • (1999) ISSMO/UBCAD/AIASA, Third World Congress of Structural and Multidisciplinary Optimization
    • Das, I.1
  • 30
    • 0031212567 scopus 로고    scopus 로고
    • A closer look at drawbacks of minimizing weighted sums of objectives for pareto set generation in multicriteria optimization problems
    • Das, I.; Dennis, J.E. 1997: A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems. Struct. Optim. 14, 63-69
    • (1997) Struct. Optim. , vol.14 , pp. 63-69
    • Das, I.1    Dennis, J.E.2
  • 31
    • 0032348480 scopus 로고    scopus 로고
    • Normal-boundary intersection: A new method for generating the pareto surface in nonlinear multicriteria optimization problems
    • Das, I.; Dennis, J.E. 1998: Normal-boundary intersection: a new method for generating the Pareto surface in nonlinear multicriteria optimization problems. SIAM J. Optim. 8, 631-657
    • (1998) SIAM J. Optim. , vol.8 , pp. 631-657
    • Das, I.1    Dennis, J.E.2
  • 32
    • 0019228894 scopus 로고
    • A multiobjective optimization model for water resources planning
    • Dauer, J.P.; Krueger, R.J. 1980: A multiobjective optimization model for water resources planning. Appl. Math. Model. 4, 171-175
    • (1980) Appl. Math. Model. , vol.4 , pp. 171-175
    • Dauer, J.P.1    Krueger, R.J.2
  • 33
    • 0022809458 scopus 로고
    • A survey of vector optimization in infinite dimensional spaces, part II
    • Dauer, J.P.; Stadler, W. 1986: A survey of vector optimization in infinite dimensional spaces, part II. J. Optim. Theory Appl. 51, 205-242
    • (1986) J. Optim. Theory Appl. , vol.51 , pp. 205-242
    • Dauer, J.P.1    Stadler, W.2
  • 37
    • 0000449815 scopus 로고
    • Weighting multiple criteria
    • Eckenrode, R.T. 1965: Weighting multiple criteria. Manage. Sci. 12, 180-192
    • (1965) Manage. Sci. , vol.12 , pp. 180-192
    • Eckenrode, R.T.1
  • 38
    • 0030270822 scopus 로고    scopus 로고
    • Two algorithms for global optimization of general NLP problems
    • Elwakeil, O.A.; Arora, J.S. 1996: Two algorithms for global optimization of general NLP problems. Int. J. Numer. Methods Eng. 39, 3305-3325
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , pp. 3305-3325
    • Elwakeil, O.A.1    Arora, J.S.2
  • 40
    • 0001953837 scopus 로고
    • Genetic algorithms for multiobjective optimization: Formulation, discussion, and generalization
    • held in Urbana-Champaign. San Mateo: Morgan Kaufmann
    • Fonseca, C.M.; Fleming, P.J. 1993: Genetic algorithms for multiobjective optimization: formulation, discussion, and generalization. In: The Fifth International Conference on Genetic Algorithms (held in Urbana-Champaign), pp. 416-423. San Mateo: Morgan Kaufmann
    • (1993) The Fifth International Conference on Genetic Algorithms , pp. 416-423
    • Fonseca, C.M.1    Fleming, P.J.2
  • 44
    • 49949131515 scopus 로고
    • Proper efficiency and the theory of vector maximization
    • Geoffrion, A.M. 1968: Proper efficiency and the theory of vector maximization. J. Math. Anal. Appl. 22, 618-630
    • (1968) J. Math. Anal. Appl. , vol.22 , pp. 618-630
    • Geoffrion, A.M.1
  • 45
    • 0018041209 scopus 로고
    • Multicriterial optimization
    • Gerasimov, E.N.; Repko, V.N. 1978: Multicriterial optimization. Sov. Appl. Mech. 14, 1179-1184; translated from Prikladnaya Mekhanika 14, 72-78 (1978)
    • (1978) Sov. Appl. Mech. , vol.14 , pp. 1179-1184
    • Gerasimov, E.N.1    Repko, V.N.2
  • 46
    • 0018041209 scopus 로고
    • translated
    • Gerasimov, E.N.; Repko, V.N. 1978: Multicriterial optimization. Sov. Appl. Mech. 14, 1179-1184; translated from Prikladnaya Mekhanika 14, 72-78 (1978)
    • (1978) Prikladnaya Mekhanika , vol.14 , pp. 72-78
  • 47
    • 0017269717 scopus 로고
    • Multiobjective programming in watershed management: A case study of the Charleston watershed
    • Goicoechea, A.; Duckstein, L.; Fogel, M.M. 1976: Multiobjective programming in watershed management: A case study of the Charleston watershed. Water Resour. Res. 12, 1085-1092
    • (1976) Water Resour. Res. , vol.12 , pp. 1085-1092
    • Goicoechea, A.1    Duckstein, L.2    Fogel, M.M.3
  • 51
    • 0022439960 scopus 로고
    • Engineering optimization via genetic algorithm
    • (held in Birmingham, AL). New York: American Society of Civil Engineers
    • Goldberg, D.E.; Samtani, M.P. 1986: Engineering optimization via genetic algorithm. In: Proceedings of the Ninth Conference on Electronic Computation (held in Birmingham, AL), pp. 471-482. New York: American Society of Civil Engineers
    • (1986) Proceedings of the Ninth Conference on Electronic Computation , pp. 471-482
    • Goldberg, D.E.1    Samtani, M.P.2
  • 52
    • 0015094608 scopus 로고
    • On a bicriterion formulation of the problems of integrated system identification and system optimization
    • Haimes, Y.Y.; Lasdon, L.S.; Wismer, D.A. 1971: On a bicriterion formulation of the problems of integrated system identification and system optimization. IEEE Trans. Syst. Man Cybern. SMC-1, 296-297
    • (1971) IEEE Trans. Syst. Man Cybern. , vol.SMC-1 , pp. 296-297
    • Haimes, Y.Y.1    Lasdon, L.S.2    Wismer, D.A.3
  • 53
    • 0022696724 scopus 로고
    • An entropy target-point approach to multiobjective programming
    • Hallefjord, A.; Jornsten, K. 1986: An entropy target-point approach to multiobjective programming. Int. J. Syst. Sci. 17, 639-653
    • (1986) Int. J. Syst. Sci. , vol.17 , pp. 639-653
    • Hallefjord, A.1    Jornsten, K.2
  • 55
    • 0001118093 scopus 로고
    • Co-evolving parasites improve simulated evolution as an optimization procedure
    • Hillis, W.D. 1990: Co-evolving parasites improve simulated evolution as an optimization procedure. Physica D 42, 228-234
    • (1990) Physica D , vol.42 , pp. 228-234
    • Hillis, W.D.1
  • 56
    • 84989466121 scopus 로고
    • A comparison of weighting methods in power plant siting
    • Hobbs, B.F. 1980: A comparison of weighting methods in power plant siting. Decis. Sci. 11, 725-737
    • (1980) Decis. Sci. , vol.11 , pp. 725-737
    • Hobbs, B.F.1
  • 58
    • 0028585530 scopus 로고
    • A niched Pareto genetic algorithm for multiobjective optimization
    • (held in Orlando). Piscataway: IEEE Neural Networks Council
    • Horn, J.; Nafpliotis, N.; Goldberg, D.E. 1994: A niched Pareto genetic algorithm for multiobjective optimization. In: The First IEEE Conference on Evolutionary Computation (held in Orlando), pp. 82-87. Piscataway: IEEE Neural Networks Council
    • (1994) The First IEEE Conference on Evolutionary Computation , pp. 82-87
    • Horn, J.1    Nafpliotis, N.2    Goldberg, D.E.3
  • 59
    • 85027546455 scopus 로고
    • Distributed coevolutionary genetic algorithms for multi-criteria and multi-constraint optimization
    • Fogarty, T.C. (ed.). Berlin: Springer-Verlag
    • Husbands, P. 1994: Distributed coevolutionary genetic algorithms for multi-criteria and multi-constraint optimization. In: Fogarty, T.C. (ed.) Evolutionary Computing (Selected papers from AISB workshop, Leeds, UK), pp. 150-165. Berlin: Springer-Verlag
    • (1994) Evolutionary Computing (Selected Papers from AISB Workshop, Leeds, UK) , pp. 150-165
    • Husbands, P.1
  • 60
    • 0027677566 scopus 로고
    • A new approach for multiple objective decision making
    • Hwang, C.-L.; Lai, Y.-J.; Liu, T.-Y. 1993: A new approach for multiple objective decision making. Comput. Oper. Res. 20, 889-899
    • (1993) Comput. Oper. Res. , vol.20 , pp. 889-899
    • Hwang, C.-L.1    Lai, Y.-J.2    Liu, T.-Y.3
  • 61
    • 0003770182 scopus 로고
    • Multiple objective decision making, methods and applications: A state-of-the-art survey
    • Beckmann, M.; Kunzi, H.P. (eds.). Berlin: Springer-Verlag
    • Hwang, C.-L.; Md. Masud, A.S., in collaboration with Paidy, S.R. and Yoon, K. 1979: Multiple objective decision making, methods and applications: a state-of-the-art survey. In: Beckmann, M.; Kunzi, H.P. (eds.) Lecture Notes in Economics and Mathematical Systems, No. 164. Berlin: Springer-Verlag
    • (1979) Lecture Notes in Economics and Mathematical Systems, No. 164
    • Hwang, C.-L.1    Md. Masud, A.S.2    Paidy, S.R.3    Yoon, K.4
  • 62
    • 0003770182 scopus 로고
    • Multiple attribute decision making methods and applications: A state-of-the-art survey
    • Beckmann, M.; Kunzi, H.P. (eds.). Berlin: Springer-Verlag
    • Hwang, C.-L.; Yoon, K. 1981: Multiple attribute decision making methods and applications: a state-of-the-art survey. In: Beckmann, M.; Kunzi, H.P. (eds.) Lecture Notes in Economics and Mathematical Systems, No. 186. Berlin: Springer-Verlag
    • (1981) Lecture Notes in Economics and Mathematical Systems, No. 186
    • Hwang, C.-L.1    Yoon, K.2
  • 63
    • 0025240190 scopus 로고
    • Multicriterion optimization using interval analysis
    • Ichida, K.; Fujii, Y. 1990: Multicriterion optimization using interval analysis. Comput. 44, 47-57
    • (1990) Comput. , vol.44 , pp. 47-57
    • Ichida, K.1    Fujii, Y.2
  • 65
    • 0029701517 scopus 로고    scopus 로고
    • Multi-objective genetic local search algorithm
    • (held in Nagoya). Piscataway: Institute of Electrical and Electronics Engineers
    • Ishibuchi, H.; Murata, T. 1996: Multi-objective genetic local search algorithm. In: 1996 IEEE International Conference on Evolutionary Computation (held in Nagoya), pp. 119-124. Piscataway: Institute of Electrical and Electronics Engineers
    • (1996) 1996 IEEE International Conference on Evolutionary Computation , pp. 119-124
    • Ishibuchi, H.1    Murata, T.2
  • 66
    • 0022145467 scopus 로고
    • Multicriteria optimization in optimum structural design
    • Jendo, S.; Marks, W.; Thierauf, G. 1985: Multicriteria optimization in optimum structural design. Large Scale Syst. 9, 141-150
    • (1985) Large Scale Syst. , vol.9 , pp. 141-150
    • Jendo, S.1    Marks, W.2    Thierauf, G.3
  • 67
    • 0022252268 scopus 로고
    • A characterization of properly efficient solutions by an augmented Tchebycheff norm
    • Kaliszewski, I. 1985: A characterization of properly efficient solutions by an augmented Tchebycheff norm. Bull. Pol. Acad. Sci., Tech. Sci. 33, 415-420
    • (1985) Bull. Pol. Acad. Sci., Tech. Sci. , vol.33 , pp. 415-420
    • Kaliszewski, I.1
  • 68
    • 0023208417 scopus 로고
    • A modified Tchebycheff metric for multiple objective programming
    • Kaliszewski, I. 1987: A modified Tchebycheff metric for multiple objective programming. Comput. Oper. Res. 14, 315-323
    • (1987) Comput. Oper. Res. , vol.14 , pp. 315-323
    • Kaliszewski, I.1
  • 69
    • 0020733472 scopus 로고
    • Aeroelastic characteristics of a cascade of mistuned blades in subsonic and supersonic flows
    • Kielb, R.E.; Kaza, K.R.V. 1983: Aeroelastic characteristics of a cascade of mistuned blades in subsonic and supersonic flows. J. Vib. Acoust. Stress Reliab. Des. 105, 425-433
    • (1983) J. Vib. Acoust. Stress Reliab. Des. , vol.105 , pp. 425-433
    • Kielb, R.E.1    Kaza, K.R.V.2
  • 70
    • 0033363266 scopus 로고    scopus 로고
    • Optimal design of H-frame transmission poles for earthquake loading
    • Kocer, F.Y.; Arora, J.S. 1999: Optimal design of H-frame transmission poles for earthquake loading. J. Struct. Eng. 125, 1299-1308
    • (1999) J. Struct. Eng. , vol.125 , pp. 1299-1308
    • Kocer, F.Y.1    Arora, J.S.2
  • 71
    • 0344752321 scopus 로고
    • Report Number 6, Tampere University of Technology, Tampere, Finland
    • Koski, J. 1979: Truss Optimization with Vector Criterion. Report Number 6, Tampere University of Technology, Tampere, Finland
    • (1979) Truss Optimization with Vector Criterion
    • Koski, J.1
  • 73
    • 0021651469 scopus 로고
    • Multicriterion optimization in structural design
    • Atrek, E.; Gallagher, R.H.; Ragsdell, K.M.; Zienkiewicz, O.C. (eds.). New York: John Wiley and Sons
    • Koski, J. 1984: Multicriterion optimization in structural design. In: Atrek, E.; Gallagher, R.H.; Ragsdell, K.M.; Zienkiewicz, O.C. (eds.) New Directions in Optimum Structural Design, pp. 483-503. New York: John Wiley and Sons
    • (1984) New Directions in Optimum Structural Design , pp. 483-503
    • Koski, J.1
  • 74
    • 0022155858 scopus 로고
    • Defectiveness of weighting method in multicriterion optimization of structures
    • Koski, J. 1985: Defectiveness of weighting method in multicriterion optimization of structures. Commun. Appl. Numer. Methods 1, 333-337
    • (1985) Commun. Appl. Numer. Methods , vol.1 , pp. 333-337
    • Koski, J.1
  • 76
    • 0023363489 scopus 로고
    • Norm methods and partial weighting in multicriterion optimization of structures
    • Koski, J.; Silvennoinen, R. 1987: Norm methods and partial weighting in multicriterion optimization of structures. Int. J. Numer. Methods Eng. 24, 1101-1121
    • (1987) Int. J. Numer. Methods Eng. , vol.24 , pp. 1101-1121
    • Koski, J.1    Silvennoinen, R.2
  • 78
    • 0001720606 scopus 로고
    • A variant of evolution strategies for vector optimization
    • Schwefel, H.-P.; Manner, R. (eds.). Berlin: Springer-Verlag
    • Kursawe, F. 1991: A variant of evolution strategies for vector optimization. In: Schwefel, H.-P.; Manner, R. (eds.) Parallel Problem Solving from Nature. Berlin: Springer-Verlag
    • (1991) Parallel Problem Solving from Nature
    • Kursawe, F.1
  • 80
    • 0345446927 scopus 로고
    • Some problems of scalar and vector-valued optimization in linear viscoelasticity
    • Leitmann, G. 1977: Some problems of scalar and vector-valued optimization in linear viscoelasticity. J. Optim. Theory Appl. 23, 93-99
    • (1977) J. Optim. Theory Appl. , vol.23 , pp. 93-99
    • Leitmann, G.1
  • 81
    • 0033312040 scopus 로고    scopus 로고
    • GA-based multicriteria optimal model for construction scheduling
    • Leu, S.-S.; Yang, C.-H. 1999: GA-based multicriteria optimal model for construction scheduling. J. Constr. Eng. Manage. 125, 420-427
    • (1999) J. Constr. Eng. Manage. , vol.125 , pp. 420-427
    • Leu, S.-S.1    Yang, C.-H.2
  • 82
    • 84953019372 scopus 로고
    • An entropy-based aggregate method for minimax optimization
    • Li, X.S. 1992: An entropy-based aggregate method for minimax optimization. Eng. Optim. 18, 277-285
    • (1992) Eng. Optim. , vol.18 , pp. 277-285
    • Li, X.S.1
  • 83
    • 0017007680 scopus 로고
    • Multiple-objective problems: Pareto-optimal solutions by method of proper equality constraints
    • Lin, J.G. 1976: Multiple-objective problems: Pareto-optimal solutions by method of proper equality constraints. IEEE Trans. Autom. Control AC-21, 641-651
    • (1976) IEEE Trans. Autom. Control , vol.AC-21 , pp. 641-651
    • Lin, J.G.1
  • 87
    • 0035280453 scopus 로고    scopus 로고
    • Manufacturability-based optimization of aircraft structures using physical programming
    • Martinez, M.P.; Messac, A.; Rais-Rohani, M. 2001: Manufacturability-based optimization of aircraft structures using physical programming. AIAA J. 39, 517-525
    • (2001) AIAA J. , vol.39 , pp. 517-525
    • Martinez, M.P.1    Messac, A.2    Rais-Rohani, M.3
  • 88
    • 0026152522 scopus 로고
    • Fairness in network optimal flow control: Optimality of product forms
    • Mazumdar, R.; Mason, L.G.; Douligeris, C. 1991: Fairness in network optimal flow control: optimality of product forms. IEEE Trans. Commun. 39, 775-782
    • (1991) IEEE Trans. Commun. , vol.39 , pp. 775-782
    • Mazumdar, R.1    Mason, L.G.2    Douligeris, C.3
  • 89
    • 0029723819 scopus 로고    scopus 로고
    • Physical programming: Effective optimization for computational design
    • Messac, A. 1996: Physical programming: effective optimization for computational design. AIAA J. 34, 149-158
    • (1996) AIAA J. , vol.34 , pp. 149-158
    • Messac, A.1
  • 90
    • 0033640129 scopus 로고    scopus 로고
    • From dubious construction of objective functions to the application of physical programming
    • Messac, A. 2000: From dubious construction of objective functions to the application of physical programming. AIAA J. 38, 155-163
    • (2000) AIAA J. , vol.38 , pp. 155-163
    • Messac, A.1
  • 91
    • 0030109271 scopus 로고    scopus 로고
    • Physical programming design optimization for high speed civil transport (HSCT)
    • Messac, A.; Hattis, P. 1996: Physical programming design optimization for high speed civil transport (HSCT). J. Aircr. 33, 446-449
    • (1996) J. Aircr. , vol.33 , pp. 446-449
    • Messac, A.1    Hattis, P.2
  • 92
    • 0041969992 scopus 로고    scopus 로고
    • The normalized normal constraint method for generating the Pareto frontier
    • Messac, A.; Ismail-Yahaya, A.; Mattson, C.A. 2003: The normalized normal constraint method for generating the Pareto frontier. Struct. Multidisc. Optim. 25, 86-98
    • (2003) Struct. Multidisc. Optim. , vol.25 , pp. 86-98
    • Messac, A.1    Ismail-Yahaya, A.2    Mattson, C.A.3
  • 93
    • 0037831659 scopus 로고    scopus 로고
    • Generating well-distributed sets of Pareto points for engineering design using physical programming
    • Messac, A.; Mattson, C.A. 2002: Generating well-distributed sets of Pareto points for engineering design using physical programming. Optim. Eng. 3 431-450
    • (2002) Optim. Eng. , vol.3 , pp. 431-450
    • Messac, A.1    Mattson, C.A.2
  • 94
    • 0035338592 scopus 로고    scopus 로고
    • Mathematical and pragmatic perspectives of physical programming
    • Messac, A.; Puemi-Sukam, C.; Melachrinoudis, E. 2001: Mathematical and pragmatic perspectives of physical programming. AIAA J. 39, 885-893
    • (2001) AIAA J. , vol.39 , pp. 885-893
    • Messac, A.1    Puemi-Sukam, C.2    Melachrinoudis, E.3
  • 95
    • 1542518729 scopus 로고    scopus 로고
    • Aggregate objective functions and Pareto frontiers: Required relationships and practical implications
    • Messac, A.; Sukam, C.P.; Melachrinoudis, E. 2000a: Aggregate objective functions and Pareto frontiers: required relationships and practical implications. Optim. Eng. 1, 171-188
    • (2000) Optim. Eng. , vol.1 , pp. 171-188
    • Messac, A.1    Sukam, C.P.2    Melachrinoudis, E.3
  • 96
    • 0033747329 scopus 로고    scopus 로고
    • Ability of objective functions to generate points on nonconvex Pareto frontiers
    • Messac, A.; Sundararaj, G.J.; Tappeta, R.V.; Renaud, J.E. 2000b: Ability of objective functions to generate points on nonconvex Pareto frontiers. AIAA J. 38, 1084-1091
    • (2000) AIAA J. , vol.38 , pp. 1084-1091
    • Messac, A.1    Sundararaj, G.J.2    Tappeta, R.V.3    Renaud, J.E.4
  • 97
    • 0001300901 scopus 로고    scopus 로고
    • Physical programming for computational control
    • Messac, A.; Wilson, B. 1998: Physical programming for computational control. AIAA J. 36, 219-226
    • (1998) AIAA J. , vol.36 , pp. 219-226
    • Messac, A.1    Wilson, B.2
  • 98
    • 1142276156 scopus 로고    scopus 로고
    • Optimization of large scale rigidified inflatable structures for housing using physical programming
    • Messac, A.; Van Dessel, S.; Mullur, A.A.; Maria, A. 2004: Optimization of large scale rigidified inflatable structures for housing using physical programming. Struct. Multidisc. Optim. 26, 139-151
    • (2004) Struct. Multidisc. Optim. , vol.26 , pp. 139-151
    • Messac, A.1    Van Dessel, S.2    Mullur, A.A.3    Maria, A.4
  • 100
    • 0030241820 scopus 로고    scopus 로고
    • Multi-objective genetic algorithm and its applications to flowshop scheduling
    • Murata, T.; Ishibuchi, H.; Tanaka, H. 1996: Multi-objective genetic algorithm and its applications to flowshop scheduling. Comput. Ind. Eng. 30, 957-968
    • (1996) Comput. Ind. Eng. , vol.30 , pp. 957-968
    • Murata, T.1    Ishibuchi, H.2    Tanaka, H.3
  • 101
    • 0033208126 scopus 로고    scopus 로고
    • On improving multiobjective genetic algorithms for design optimization
    • Narayana, S.; Azarm, S. 1999: On improving multiobjective genetic algorithms for design optimization. Struct. Optim. 18, 146-155
    • (1999) Struct. Optim. , vol.18 , pp. 146-155
    • Narayana, S.1    Azarm, S.2
  • 102
    • 0000291018 scopus 로고
    • The bargaining problem
    • Nash, J. 1950: The bargaining problem. Econometrica 18, 155-162
    • (1950) Econometrica , vol.18 , pp. 155-162
    • Nash, J.1
  • 103
    • 21844495632 scopus 로고
    • A goal programming model of the reference point method
    • Ogryczak, W. 1994: A goal programming model of the reference point method. Ann. Oper. Res. 51, 33-44
    • (1994) Ann. Oper. Res. , vol.51 , pp. 33-44
    • Ogryczak, W.1
  • 104
    • 0018011530 scopus 로고
    • An approach to multicriterion optimization problems for engineering design
    • Osyczka, A. 1978: An approach to multicriterion optimization problems for engineering design. Comput. Methods Appl. Mech. Eng. 15, 309-333
    • (1978) Comput. Methods Appl. Mech. Eng. , vol.15 , pp. 309-333
    • Osyczka, A.1
  • 107
    • 0022315460 scopus 로고
    • Computer aided multicriterion optimization method
    • Osyczka, A. 1985: Computer aided multicriterion optimization method. Adv. Model. Simul. 3, 41-52
    • (1985) Adv. Model. Simul. , vol.3 , pp. 41-52
    • Osyczka, A.1
  • 108
    • 0030244242 scopus 로고    scopus 로고
    • A modified distance method for multicriteria optimization, using genetic algorithms
    • Osyczka, A.; Kundu, S. 1996: A modified distance method for multicriteria optimization, using genetic algorithms. Comput. Ind. Eng. 30, 871-882
    • (1996) Comput. Ind. Eng. , vol.30 , pp. 871-882
    • Osyczka, A.1    Kundu, S.2
  • 110
    • 2442601849 scopus 로고    scopus 로고
    • Milan; translated into English, edited by A.S. Schwier and A.N. New York: A.M. Kelley
    • Pareto, V. 1906: Manuale di Economica Politica, Societa Editrice Libraria. Milan; translated into English by A.S. Schwier as Manual of Political Economy, edited by A.S. Schwier and A.N. Page, 1971. New York: A.M. Kelley
    • As Manual of Political Economy , pp. 1971
    • Schwier, A.S.1
  • 111
    • 0034130534 scopus 로고    scopus 로고
    • Hybridization of a multi-objective genetic algorithm, a neural network, and a classical optimizer for a complex design problem in fluid dynamics
    • Poloni, C.; Giurgevich, A.; Onesti, L.; Pediroda, V. 2000: Hybridization of a multi-objective genetic algorithm, a neural network, and a classical optimizer for a complex design problem in fluid dynamics. Comput. Methods Appl. Mech. Eng. 186, 403-420
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.186 , pp. 403-420
    • Poloni, C.1    Giurgevich, A.2    Onesti, L.3    Pediroda, V.4
  • 112
    • 0035474678 scopus 로고    scopus 로고
    • Multicriterion evolutionary structural optimization using the weighted and the global criterion methods
    • Proos, K.A.; Steven, G.P.; Querin, O.M.; Xie, Y.M. 2001: Multicriterion evolutionary structural optimization using the weighted and the global criterion methods. AIAA J. 39, 2006-2012
    • (2001) AIAA J. , vol.39 , pp. 2006-2012
    • Proos, K.A.1    Steven, G.P.2    Querin, O.M.3    Xie, Y.M.4
  • 114
    • 0024715994 scopus 로고
    • Fuzzy set theoretic approach of assigning weights to objectives in multicriteria decision making
    • Rao, J.R.; Roy, N. 1989: Fuzzy set theoretic approach of assigning weights to objectives in multicriteria decision making. Int. J. Syst. Sci. 20, 1381-1386
    • (1989) Int. J. Syst. Sci. , vol.20 , pp. 1381-1386
    • Rao, J.R.1    Roy, N.2
  • 115
    • 0023145522 scopus 로고
    • Game theory approach for multiobjective structural optimization
    • Rao, S.S. 1987: Game theory approach for multiobjective structural optimization. Comput. Struct. 25, 119-127
    • (1987) Comput. Struct. , vol.25 , pp. 119-127
    • Rao, S.S.1
  • 116
    • 0026222211 scopus 로고
    • A modified game theory approach to multiobjective optimization
    • Rao, S.S.; Freiheit, T.I. 1991: A modified game theory approach to multiobjective optimization. J. Mech. Des. 113, 286-291
    • (1991) J. Mech. Des. , vol.113 , pp. 286-291
    • Rao, S.S.1    Freiheit, T.I.2
  • 117
    • 0019292417 scopus 로고
    • Optimum design of shock and vibration isolation systems using game theory
    • Rao, S.S.; Hati, S.K. 1980: Optimum design of shock and vibration isolation systems using game theory. Eng. Optim. 4, 215-226
    • (1980) Eng. Optim. , vol.4 , pp. 215-226
    • Rao, S.S.1    Hati, S.K.2
  • 118
    • 0023995073 scopus 로고
    • Game theory approach for the integrated design of structures and controls
    • Rao, S.S.; Venkayya, V.B.; Khot, N.S. 1988: Game theory approach for the integrated design of structures and controls. AIAA J. 26, 463-469
    • (1988) AIAA J. , vol.26 , pp. 463-469
    • Rao, S.S.1    Venkayya, V.B.2    Khot, N.S.3
  • 120
    • 0001201006 scopus 로고
    • Some guidelines for genetic algorithms with penalty functions
    • Schaffer, J.D. (ed.) (held in Arlington). San Mateo: Morgan Kaufmann
    • Richardson, J.T.; Palmer, M.R.; Liepins, G.; Hilliard, M. 1989: Some guidelines for genetic algorithms with penalty functions. In: Schaffer, J.D. (ed.) Third International Conference on Genetic Algorithms (held in Arlington), pp. 191-197. San Mateo: Morgan Kaufmann
    • (1989) Third International Conference on Genetic Algorithms , pp. 191-197
    • Richardson, J.T.1    Palmer, M.R.2    Liepins, G.3    Hilliard, M.4
  • 121
    • 0032166304 scopus 로고    scopus 로고
    • Goal programming, compromise programming and reference point method formulations: Linkages and utility interpretations
    • Romero, C.; Tamiz, M.; Jones, D.F. 1998: Goal programming, compromise programming and reference point method formulations: linkages and utility interpretations. J. Oper. Res. Soc. 49, 986-991
    • (1998) J. Oper. Res. Soc. , vol.49 , pp. 986-991
    • Romero, C.1    Tamiz, M.2    Jones, D.F.3
  • 122
    • 0019636568 scopus 로고
    • Multicriteria analysis: Survey and new directions
    • Roy, B.; Vincke, P. 1981: Multicriteria analysis: survey and new directions. Eur. J. Oper. Res. 8, 207-218
    • (1981) Eur. J. Oper. Res. , vol.8 , pp. 207-218
    • Roy, B.1    Vincke, P.2
  • 123
    • 0007156956 scopus 로고
    • A characterization of weakly efficient points
    • Ruiz-Canales, P.; Rufian-Lizana, A. 1995: A characterization of weakly efficient points. Math. Program. 68, 205-212
    • (1995) Math. Program. , vol.68 , pp. 205-212
    • Ruiz-Canales, P.1    Rufian-Lizana, A.2
  • 124
    • 49449122896 scopus 로고
    • A scaling method for priorities in hierarchies, multiple objectives and fuzzy sets
    • Saaty, T.L. 1977: A scaling method for priorities in hierarchies, multiple objectives and fuzzy sets. J. Math. Psych. 15, 234-281
    • (1977) J. Math. Psych. , vol.15 , pp. 234-281
    • Saaty, T.L.1
  • 125
    • 0013294608 scopus 로고
    • Optimization of vector functionals, I, programming of optimal trajectories
    • in Russian
    • Salukvadze, M.E. 1971a: Optimization of vector functionals, I, programming of optimal trajectories. Avtomatika i Telemekhanika 8, 5-15 (in Russian)
    • (1971) Avtomatika i Telemekhanika , vol.8 , pp. 5-15
    • Salukvadze, M.E.1
  • 126
    • 0013294608 scopus 로고
    • Optimization of vector functionals, II, the analytic construction of optimal controls
    • in Russian
    • Salukvadze, M.E. 1971b: Optimization of vector functionals, II, the analytic construction of optimal controls. Avtomatika i Telemekhanika 9, 5-15 (in Russian)
    • (1971) Avtomatika i Telemekhanika , vol.9 , pp. 5-15
    • Salukvadze, M.E.1
  • 128
    • 0000599395 scopus 로고
    • Multiple objective optimization with vector evaluated genetic algorithms
    • (held in Pittsburgh). Hillsdale: Lawrence Erlbaum Associates
    • Schaffer, J.D. 1985: Multiple objective optimization with vector evaluated genetic algorithms. In: The First International Conference on Genetic Algorithms and their Applications (held in Pittsburgh), pp. 93-100. Hillsdale: Lawrence Erlbaum Associates
    • (1985) The First International Conference on Genetic Algorithms and their Applications , pp. 93-100
    • Schaffer, J.D.1
  • 130
    • 0000852513 scopus 로고
    • Multiobjective optimization using nondominated sorting in genetic algorithms
    • Srinivas, N.; Deb, K. 1995: Multiobjective optimization using nondominated sorting in genetic algorithms. Evol. Comput.2, 221-248
    • (1995) Evol. Comput. , vol.2 , pp. 221-248
    • Srinivas, N.1    Deb, K.2
  • 131
    • 0017503084 scopus 로고
    • Natural structural shapes of shallow arches
    • Stadler, W. 1977: Natural structural shapes of shallow arches. J. Appl. Mech. 44, 291-298
    • (1977) J. Appl. Mech. , vol.44 , pp. 291-298
    • Stadler, W.1
  • 132
    • 0017971101 scopus 로고
    • Natural structural shapes (the static case)
    • Stadler, W. 1978: Natural structural shapes (the static case). Q. J. Mech. Appl. Math. 31, 169-217
    • (1978) Q. J. Mech. Appl. Math. , vol.31 , pp. 169-217
    • Stadler, W.1
  • 133
    • 2442438273 scopus 로고
    • Initiators of multicriteria optimization
    • Jahn, J.; Krabs, W. (eds.), Lecture Notes in Economics and Mathematical Systems, No. 294. Berlin: Springer-Verlag
    • Stadler, W. 1987: Initiators of multicriteria optimization. In: Jahn, J.; Krabs, W. (eds.) Recent Advances and Historical Development of Vector Optimization, Lecture Notes in Economics and Mathematical Systems, No. 294, pp. 3-25. Berlin: Springer-Verlag
    • (1987) Recent Advances and Historical Development of Vector Optimization , pp. 3-25
    • Stadler, W.1
  • 134
    • 0004753965 scopus 로고
    • Fundamentals of multicriteria optimization
    • Stadler, W. (ed.). New York: Plenum Press
    • Stadler, W. 1988: Fundamentals of multicriteria optimization. In: Stadler, W. (ed.) Multicriteria Optimization in Engineering and in the Sciences, pp. 1-25. New York: Plenum Press
    • (1988) Multicriteria Optimization in Engineering and in the Sciences , pp. 1-25
    • Stadler, W.1
  • 135
    • 0029341283 scopus 로고
    • Caveats and boons of multicriteria optimization
    • Stadler, W. 1995: Caveats and boons of multicriteria optimization. Microcomput. Civ. Eng. 10, 291-299
    • (1995) Microcomput. Civ. Eng. , vol.10 , pp. 291-299
    • Stadler, W.1
  • 136
    • 0000930477 scopus 로고
    • Multicriteria optimization in engineering: A tutorial and survey
    • Kamat, M.P. (ed.). Washington, DC: American Institute of Aeronautics and Astronautics
    • Stadler, W.; Dauer, J.P. 1992: Multicriteria optimization in engineering: a tutorial and survey. In: Kamat, M.P. (ed.) Structural Optimization: Status and Promise, pp. 211-249. Washington, DC: American Institute of Aeronautics and Astronautics
    • (1992) Structural Optimization: Status and Promise , pp. 211-249
    • Stadler, W.1    Dauer, J.P.2
  • 138
    • 0020802768 scopus 로고
    • An interactive weighted Tchebycheff procedure for multiple objective programming
    • Steuer, R.E.; Choo, E.-U. 1983: An interactive weighted Tchebycheff procedure for multiple objective programming. Math. Program. 26, 326-344
    • (1983) Math. Program. , vol.26 , pp. 326-344
    • Steuer, R.E.1    Choo, E.-U.2
  • 139
    • 0004187979 scopus 로고
    • Washington, DC: The Mathematical Association of America
    • Straffin, P.D. 1993: Game Theory and Strategy. Washington, DC: The Mathematical Association of America
    • (1993) Game Theory and Strategy
    • Straffin, P.D.1
  • 140
    • 0011472969 scopus 로고    scopus 로고
    • Augmented Lagrangian and Tchebycheff approaches in multiple objective programming
    • Tind, J.; Wiecek, M.M. 1999: Augmented Lagrangian and Tchebycheff approaches in multiple objective programming. J. Global Optim. 14, 251-266
    • (1999) J. Global Optim. , vol.14 , pp. 251-266
    • Tind, J.1    Wiecek, M.M.2
  • 142
    • 0025498576 scopus 로고
    • Minimax multiobjective optimization in structural design
    • Tseng, C.H.; Lu, T.W. 1990: Minimax multiobjective optimization in structural design. Int. J. Numer. Methods Eng. 30, 1213-1228
    • (1990) Int. J. Numer. Methods Eng. , vol.30 , pp. 1213-1228
    • Tseng, C.H.1    Lu, T.W.2
  • 143
    • 0022934377 scopus 로고
    • Design of steel frames by multicriterion optimization
    • Vasarhelhi, A.; Logo, J. 1986: Design of steel frames by multicriterion optimization. Acta Tech. (Budapest) 99, 413-418
    • (1986) Acta Tech. (Budapest) , vol.99 , pp. 413-418
    • Vasarhelhi, A.1    Logo, J.2
  • 147
    • 84915536790 scopus 로고
    • An engineering approach: Hierarchical optimization criteria
    • Waltz, F.M. 1967: An engineering approach: hierarchical optimization criteria. IEEE Trans. Autom. Control AC-12, 179-180
    • (1967) IEEE Trans. Autom. Control , vol.AC-12 , pp. 179-180
    • Waltz, F.M.1
  • 148
    • 0007228693 scopus 로고
    • Efficiency in multiple objective optimization problems
    • Wendell, R.E.; Lee, D.N. 1977: Efficiency in multiple objective optimization problems. Math. Program. 12, 406-414
    • (1977) Math. Program. , vol.12 , pp. 406-414
    • Wendell, R.E.1    Lee, D.N.2
  • 149
    • 0020449914 scopus 로고
    • A mathematical basis for satisficing decision making
    • Wierzbicki, A.P. 1982: A mathematical basis for satisficing decision making. Math. Model. 3, 391-405
    • (1982) Math. Model. , vol.3 , pp. 391-405
    • Wierzbicki, A.P.1
  • 150
    • 0242385843 scopus 로고
    • A methodological approach to comparing parametric characterizations of efficient solutions
    • Fandel, G.; Grauer, M.; Kurzhanski, A.; Wierzbicki, A.P. (eds.), Lecture Notes in Economics and Mathematical Systems, No. 273. Berlin: Springer-Verlag
    • Wierzbicki, A.P. 1986: A methodological approach to comparing parametric characterizations of efficient solutions. In: Fandel, G.; Grauer, M.; Kurzhanski, A.; Wierzbicki, A.P. (eds.) Large-Scale Modeling and Interactive Decision Analysis, Lecture Notes in Economics and Mathematical Systems, No. 273, pp. 27-45. Berlin: Springer-Verlag
    • (1986) Large-Scale Modeling and Interactive Decision Analysis , pp. 27-45
    • Wierzbicki, A.P.1
  • 153
    • 0000666884 scopus 로고
    • A class of solutions for group decision problems
    • Yu, P.-L. 1973: A class of solutions for group decision problems. Manage. Sci. 19, 936-946
    • (1973) Manage. Sci. , vol.19 , pp. 936-946
    • Yu, P.-L.1
  • 154
    • 0016102482 scopus 로고
    • Cone convexity, cone extreme points, and non-dominated solutions in decision problems with multiobjectives
    • Yu, P.-L. 1974: Cone convexity, cone extreme points, and non-dominated solutions in decision problems with multiobjectives. J. Optim. Theory Appl. 14, 319-377
    • (1974) J. Optim. Theory Appl. , vol.14 , pp. 319-377
    • Yu, P.-L.1
  • 156
    • 0016037629 scopus 로고
    • Compromise solutions, domination structures, and Salukvadze's solution
    • Yu, P.-L.; Leitmann, G. 1974: Compromise solutions, domination structures, and Salukvadze's solution. J. Optim. Theory Appl. 13, 362-378
    • (1974) J. Optim. Theory Appl. , vol.13 , pp. 362-378
    • Yu, P.-L.1    Leitmann, G.2
  • 157
    • 84939004610 scopus 로고
    • Optimality and non-scalar-valued performance criteria
    • Zadeh, L.A. 1963: Optimality and non-scalar-valued performance criteria. IEEE Trans. Autom. Control AC-8, 59-60
    • (1963) IEEE Trans. Autom. Control , vol.AC-8 , pp. 59-60
    • Zadeh, L.A.1
  • 159
    • 2442561901 scopus 로고
    • Multiple criteria mathematical programming: An updated overview and several approaches
    • Mitra, G. (ed.). Berlin: Springer-Verlag
    • Zionts, S. 1988: Multiple criteria mathematical programming: an updated overview and several approaches. In: Mitra, G. (ed.) Mathematical Models for Decision Support, pp. 135-167. Berlin: Springer-Verlag
    • (1988) Mathematical Models for Decision Support , pp. 135-167
    • Zionts, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.