메뉴 건너뛰기




Volumn 50, Issue 6, 1999, Pages 581-595

Cmparing constraint programming and mathematical programming approaches to discrete optimisation— the change problem

Author keywords

Constraint programming; Integer programming

Indexed keywords

CONSTRAINT THEORY; INTEGER PROGRAMMING; LOGIC PROGRAMMING; PROBLEM SOLVING;

EID: 0032623707     PISSN: 01605682     EISSN: 14769360     Source Type: Journal    
DOI: 10.1057/palgrave.jors.2600730     Document Type: Article
Times cited : (47)

References (101)
  • 4
    • 0002931606 scopus 로고
    • A language and a program for stating and solving combinatorial problems
    • Lauriere JL (1978). A language and a program for stating and solving combinatorial problems. Artificial Intell. 10: 29-127.
    • (1978) Artificial Intell , vol.10 , pp. 29-127
    • Lauriere, J.L.1
  • 5
    • 0019044566 scopus 로고
    • CONSTRAINTS —a language for expressing almost-hierarchical descriptions
    • Sussman GJ and Steele GL (1980). CONSTRAINTS —a language for expressing almost-hierarchical descriptions. Artificial Intell. 14: 1-39.
    • (1980) Artificial Intell , vol.14 , pp. 1-39
    • Sussman, G.J.1    Steele, G.L.2
  • 6
    • 0344667492 scopus 로고
    • Design, Implementation, and Evaluation of the Constraint Langage cc (FD). Technical Report CS-93-02
    • Van Hentenryck P, Saraswat V and Deville Y (1993). Design, Implementation, and Evaluation of the Constraint Langage cc (fD). Technical Report CS-93-02, Brown University.
    • (1993) Brown University
    • Van Hentenryck, P.1    Saraswat, V.2    Deville, Y.3
  • 7
    • 0011758397 scopus 로고
    • An Introduction to Prolog III
    • Colmerauer A (1990). An Introduction to Prolog III. CACM 28: 412-418.
    • (1990) CACM , vol.28 , pp. 412-418
    • Colmerauer, A.1
  • 8
    • 4243532938 scopus 로고
    • Constraint Logic Programming: A Survey
    • Jaffar J and Maher MJ (1994). Constraint Logic Programming: a Survey. J Logic Program 19-20: 503-581.
    • (1994) J Logic Program , vol.19-20 , pp. 503-581
    • Jaffar, J.1    Maher, M.J.2
  • 10
    • 0043270799 scopus 로고
    • Logic programming with pseudo-boolean constraints
    • Benhamou F and Colmerauer A, MIT Press, Cambridge, MA, USA
    • Bockmayr A (1993). Logic programming with pseudo-boolean constraints. In: Benhamou F and Colmerauer A (eds). Constraint Logic Programming: Selected Research. MIT Press, Cambridge, MA, USA pp 327-350.
    • (1993) Constraint Logic Programming: Selected Research , pp. 327-350
    • Bockmayr, A.1
  • 11
    • 0031185563 scopus 로고    scopus 로고
    • Applying interval arithmetic to integer and boolean constraints
    • Benhamou F and Older WJ (1997). Applying interval arithmetic to integer and boolean constraints. J Logic Program 32: 1-24.
    • (1997) J Logic Program , vol.32 , pp. 1-24
    • Benhamou, F.1    Older, W.J.2
  • 13
    • 0002883087 scopus 로고
    • The constraint logic programming language CHIP
    • Institute for New Generation Computer Technology, ICOT, Springer Verlag, Germany
    • Dincbas M et al (1988). The constraint logic programming language CHIP. In: Institute for New Generation Computer Technology, ICOT (ed) Proceedings International Conference on Fifth Generation Computer Systems (FGCS-88) Tokyo, Springer Verlag, Germany, pp 693-702.
    • (1988) Proceedings International Conference on Fifth Generation Computer Systems (FGCS-88) Tokyo , pp. 693-702
    • Dincbas, M.1
  • 14
    • 0001314330 scopus 로고    scopus 로고
    • ECLiPSe: A platform for constraint logic programming
    • Wallace M, Novello S and Schimpf J (1997). ECLiPSe: a platform for constraint logic programming. ICL Sys J: 12(1): 159-200.
    • (1997) ICL Sys J , vol.12 , Issue.1 , pp. 159-200
    • Wallace, M.1    Novello, S.2    Schimpf, J.3
  • 15
    • 84984716785 scopus 로고
    • Users Guide and Reference Manual, BULL S.A., France
    • BULL Corporation (1990). CHARME VI Users Guide and Reference Manual, BULL S.A., France.
    • (1990) CHARME VI
  • 16
    • 0004280650 scopus 로고
    • I log solver collected papers, Technical Report, ILog, France (www.ILog. com)
    • Puget JF (1994). A C++ implementation of CLP. I log solver collected papers, Technical Report, ILog, France (www.ILog. com).
    • (1994) A C++ Implementation of CLP
    • Puget, J.F.1
  • 18
    • 0343995255 scopus 로고
    • The significance of constraint logic programming to operational research
    • Lawrence M and Wilsdon C, Tutorial Papers, 1995
    • Little J and Darby-Dowman K (1995). The significance of constraint logic programming to operational research. In: Lawrence M and Wilsdon C (eds). Opl Res, pp. 20-45. Tutorial Papers, 1995.
    • (1995) Opl Res , pp. 20-45
    • Little, J.1    Darby-Dowman, K.2
  • 19
    • 84984739304 scopus 로고
    • A Comparison of Constraint and Mixed-Integer Programming Solvers for Batch Sequencing with Sequence-Dependent Setups
    • Universität Kiel, Kiel
    • Jordan C and Drexl A (1993). A Comparison of Constraint and Mixed-Integer Programming Solvers for Batch Sequencing with Sequence-Dependent Setups. Working Paper, Universität Kiel, Kiel.
    • (1993) Working Paper
    • Jordan, C.1    Drexl, A.2
  • 21
    • 84958050185 scopus 로고
    • The progressive party problem: Integer linear programming and constraint programming compared
    • Montanari U and Rossi F, Springer: Berlin
    • Smith SC, Brailsford BM, Hubbard PM and Williams HP (1995). The progressive party problem: integer linear programming and constraint programming compared. In: Montanari U and Rossi F (eds). Principles and Practice of Constraint Programming—CP95, LNCS 976. Springer: Berlin, pp. 36-52.
    • (1995) Principles and Practice of Constraint Programming—CP95, LNCS , vol.976 , pp. 36-52
    • Smith, S.C.1    Brailsford, B.M.2    Hubbard, P.M.3    Williams, H.P.4
  • 22
    • 0029231105 scopus 로고
    • Scheduling techniques — comparative study
    • Tsang EPK (1995). Scheduling techniques — comparative study. BT Technol J13: 16-28.
    • (1995) BT Technol J , vol.13 , pp. 16-28
    • Tsang, E.1
  • 23
    • 21844504641 scopus 로고
    • Running time experiments on some algorithms for solving propositional satisfiability problems
    • Mayer J, Mitterreiter I and Radermacher FJ (1995). Running time experiments on some algorithms for solving propositional satisfiability problems. Annals of Opns Res 55: 139-178.
    • (1995) Annals of Opns Res , vol.55 , pp. 139-178
    • Mayer, J.1    Mitterreiter, I.2    Radermacher, F.J.3
  • 25
    • 84958048157 scopus 로고
    • Constraint solving for combinatorial search problems: A tutorial
    • Montanari U and Rossi F, Springer: Berlin
    • Van Hentenryck P (1995). Constraint solving for combinatorial search problems: a tutorial. In: Montanari U and Rossi F (eds). Principles and Practice of Constraint Programming — CP95, Springer: Berlin, pp. 564-587.
    • (1995) Principles and Practice of Constraint Programming — CP95 , pp. 564-587
    • Van Hentenryck, P.1
  • 28
    • 0001737878 scopus 로고    scopus 로고
    • Practical applications of constraint programming
    • Wallace M (1996). Practical applications of constraint programming. Constraints 1: 139-168.
    • (1996) Constraints , vol.1 , pp. 139-168
    • Wallace, M.1
  • 35
    • 0344236110 scopus 로고
    • Mixed-integer programming in production scheduling: A case study
    • Ciriani T and Leachman RC, John Wiley & Sons: New York
    • Ashford R and Daniel R (1993). Mixed-integer programming in production scheduling: a case study. In: Ciriani T and Leachman RC (eds). Optimization in Industry. John Wiley & Sons: New York, pp 231-239
    • (1993) Optimization in Industry , pp. 231-239
    • Ashford, R.1    Daniel, R.2
  • 37
  • 38
    • 49449120803 scopus 로고
    • Consistency in networks of relations
    • Berkeley, CA
    • Mackworth AK (1977). Consistency in networks of relations. Artifi Intell, Berkeley, CA. 8: 99-118.
    • (1977) Artifi Intell , vol.8 , pp. 99-118
    • Mackworth, A.K.1
  • 39
    • 26844469818 scopus 로고
    • Constraint satisfaction and constraint programming: A brief lead-in
    • Mayoh B, Tyugu E and Penjam J, Berlin, Heidelberg
    • Mayoh B, Tyugu E and Uustalu T (1994). Constraint satisfaction and constraint programming: a brief lead-in. In: Mayoh B, Tyugu E and Penjam J (eds). Constraint Programming. Berlin, Heidelberg, pp 1-16.
    • (1994) Constraint Programming , pp. 1-16
    • Mayoh, B.1    Tyugu, E.2    Uustalu, T.3
  • 40
    • 0030125477 scopus 로고    scopus 로고
    • A computational study of constraint satisfaction for multiple capacitated job shop scheduling
    • Nuijten WPM and Aarts EHL (1996). A computational study of constraint satisfaction for multiple capacitated job shop scheduling. Eur J Opl Res 90: 269-284.
    • (1996) Eur J Opl Res , vol.90 , pp. 269-284
    • Nuijten, W.1    Aarts, E.2
  • 44
    • 84957867827 scopus 로고    scopus 로고
    • Speeding up constraint propagation by redundant modeling
    • Freuder EC, Berlin: Springer
    • Cheng BMW Lee JHM and Wu JCK (1996). Speeding up constraint propagation by redundant modeling. In: Freuder EC (ed). Principles and Practice of Constraint Programming. Berlin: Springer, pp 91-103.
    • (1996) Principles and Practice of Constraint Programming , pp. 91-103
    • Cheng Bmw Lee, J.1    Wu, J.2
  • 45
    • 84984717284 scopus 로고
    • Optimization
    • Graham R, Grötschel M and Lovasz L (eds), North Holland
    • Grötschel M and Lovasz L (1994). Optimization. In: Graham R, Grötschel M and Lovasz L (eds). Handbook on Combinatorics, volume 2. North Holland.
    • (1994) Handbook on Combinatorics , vol.2
    • Grö tschel, M.1    Lovasz, L.2
  • 47
    • 0022733730 scopus 로고
    • Valid inequalities for mixed 0-1 programs
    • Van Roy TJ and Wolsey LA (1986). Valid inequalities for mixed 0-1 programs. Disc Appl Mathe 14: 199-213.
    • (1986) Disc Appl Mathe , vol.14 , pp. 199-213
    • Van Roy, T.J.1    Wolsey, L.A.2
  • 48
    • 0344236106 scopus 로고    scopus 로고
    • Progress in linear programming based branch-and-bound algorithms: An exposition
    • (submitted)
    • Johnson EL, Nemhauser GL and Savelsbergh MWP (1997). Progress in linear programming based branch-and-bound algorithms: an exposition. INFORMS J, on Computing (submitted)
    • (1997) INFORMS J, on Computing
    • Johnson, E.L.1    Nemhauser, G.L.2    Savelsbergh, M.3
  • 50
    • 0000278641 scopus 로고
    • Preprocessing and probing techniques for mixed integer programming problems
    • Savelsbergh MWP (1994). Preprocessing and probing techniques for mixed integer programming problems. ORSA J Comp 6: 445-454.
    • (1994) ORSA J Comp , vol.6 , pp. 445-454
    • Savelsbergh, M.1
  • 51
    • 0018031196 scopus 로고
    • Synthesizing constraint expressions
    • Freuder EC (1978). Synthesizing constraint expressions. Commun of ACM 21: 958-966.
    • (1978) Commun of ACM , vol.21 , pp. 958-966
    • Freuder, E.C.1
  • 52
    • 0016050041 scopus 로고
    • Networks of constraints. Fundamental properties and applications to picture processing
    • Montanari U (1974). Networks of constraints. Fundamental properties and applications to picture processing. Inform Sci 7: 95-132.
    • (1974) Inform Sci , vol.7 , pp. 95-132
    • Montanari, U.1
  • 53
    • 0026868943 scopus 로고
    • From local to global consistency
    • Dechter R (1992). From local to global consistency. Artifi Intell 55: 87-107.
    • (1992) Artifi Intell , vol.55 , pp. 87-107
    • Dechter, R.1
  • 54
    • 0022677637 scopus 로고
    • Arc and path consistency revisited
    • Mohr R and Henderson TC (1986). Arc and path consistency revisited. Artifi Intell 28: 225-233.
    • (1986) Artifi Intell , vol.28 , pp. 225-233
    • Mohr, R.1    Henderson, T.C.2
  • 55
    • 0026941401 scopus 로고
    • A generic arc consistency algorithm and its specializations
    • Van Hentenryck P, Deville Yand Teng CM (1992). A generic arc consistency algorithm and its specializations. Artifi Intell 57: 291-321.
    • (1992) Artifi Intell , vol.57 , pp. 291-321
    • Van Hentenryck, P.1    Deville Yand Teng, C.M.2
  • 58
    • 0025228149 scopus 로고
    • Enhancement schemes for constraint processing: Backjumping, learning and cutset decomposition
    • Dechter R (1989). Enhancement schemes for constraint processing: backjumping, learning and cutset decomposition. Artifi Intell 41: 273-312.
    • (1989) Artifi Intell , vol.41 , pp. 273-312
    • Dechter, R.1
  • 59
    • 0019067870 scopus 로고
    • Increasing tree search efficiency for constraint satisfaction problems
    • Haralick RM and Elliott GL (1980). Increasing tree search efficiency for constraint satisfaction problems. Artifi Intell 14: 263-313.
    • (1980) Artifi Intell , vol.14 , pp. 263-313
    • Haralick, R.M.1    Elliott, G.L.2
  • 60
    • 84990623071 scopus 로고
    • Constraint satisfaction algorithms
    • Nadel BA (1989). Constraint satisfaction algorithms. Comput Intell 5: 188-224.
    • (1989) Comput Intell , vol.5 , pp. 188-224
    • Nadel, B.A.1
  • 61
    • 0002146217 scopus 로고
    • Contradicting conventional wisdom in constraint satisfaction
    • Cohn A, John Wiley: Chichester
    • Sabin D and Freuder EC (1994). Contradicting conventional wisdom in constraint satisfaction. In: Cohn A (ed). Proceedings of ECA194. John Wiley: Chichester, pp 100-104.
    • (1994) Proceedings of ECA194 , pp. 100-104
    • Sabin, D.1    Freuder, E.C.2
  • 62
    • 0022101121 scopus 로고
    • Solving 0-1 integer programming problems arising from large scale planning models
    • Johnson EL, Kostreva MM and Suhl UH (1985). Solving 0-1 integer programming problems arising from large scale planning models. Opns Res 33: 803-819.
    • (1985) Opns Res , vol.33 , pp. 803-819
    • Johnson, E.L.1    Kostreva, M.M.2    Suhl, U.H.3
  • 63
    • 0026125207 scopus 로고
    • Improving LP-represen- tations of zero-one linear programs for branch-and-cut
    • Hoffmann KL and Padberg M (1991). Improving LP-represen- tations of zero-one linear programs for branch-and-cut. ORSA J Comput 3: 121-135.
    • (1991) ORSA J Comput , vol.3 , pp. 121-135
    • Hoffmann, K.L.1    Padberg, M.2
  • 64
    • 84984718732 scopus 로고    scopus 로고
    • Logical Processing: Extensions, New and Old. Presentation at the CLIAO meeting
    • Spielberg K and Guignard M (1996). Logical Processing: Extensions, New and Old. Presentation at the CLIAO meeting, Rio de Janeiro (unpublished).
    • (1996) Rio De Janeiro
    • Spielberg, K.1    Guignard, M.2
  • 65
    • 0019398440 scopus 로고
    • Logical reduction methods in zero-one programming
    • Guignard M and Spielberg K (1981). Logical reduction methods in zero-one programming. Opns Res 29: 49-74.
    • (1981) Opns Res , vol.29 , pp. 49-74
    • Guignard, M.1    Spielberg, K.2
  • 67
    • 0003077519 scopus 로고
    • A quantitative approach to logical inference
    • Hooker JN (1988). A quantitative approach to logical inference. Decis Support Sys 4: 45-69.
    • (1988) Decis Support Sys , vol.4 , pp. 45-69
    • Hooker, J.N.1
  • 68
    • 0023962177 scopus 로고
    • Resolutions vs. Cutting plane solution of inference problems: Some computational results
    • Hooker JN (1988). Resolutions vs. cutting plane solution of inference problems: some computational results. Ops Res Lett 7: 1-7.
    • (1988) Ops Res Lett , vol.7 , pp. 1-7
    • Hooker, J.N.1
  • 69
    • 34250085380 scopus 로고
    • Symbolic integration of logic in MILP branch and bound methods for the synthesis of process networks
    • Raman R and Grossmann IE (1993). Symbolic integration of logic in MILP branch and bound methods for the synthesis of process networks. Annals of Opns Res 42: 169-191.
    • (1993) Annals of Opns Res , vol.42 , pp. 169-191
    • Raman, R.1    Grossmann, I.E.2
  • 70
    • 84984718919 scopus 로고    scopus 로고
    • Mixed Logical/Linear Programming. Manuscript, Graduate School of Industrial Administration
    • Pittsburgh, PA
    • Hooker JN and Osorio MA (1997). Mixed Logical/Linear Programming. Manuscript, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA.
    • (1997) Carnegie Mellon University
    • Hooker, J.N.1    Osorio, M.A.2
  • 71
    • 0000022796 scopus 로고
    • On implementing Mehrotra’s predictor-corrector interior-point method for linear programming
    • Lustig IJ, Marsten RE and Shanno DF (1992). On implementing Mehrotra’s predictor-corrector interior-point method for linear programming. SIAM J. Optim 2: 435-449.
    • (1992) SIAM J. Optim , vol.2 , pp. 435-449
    • Lustig, I.J.1    Marsten, R.E.2    Shanno, D.F.3
  • 73
    • 0002554041 scopus 로고
    • Lagrangian relaxation for integer programming
    • Geoffrion A (1974). Lagrangian relaxation for integer programming. Mathe Program Study, 2: 82-114.
    • (1974) Mathe Program Study , vol.2 , pp. 82-114
    • Geoffrion, A.1
  • 76
    • 0030246423 scopus 로고    scopus 로고
    • Variable and value ordering heuristics for the job shop scheduling constraint satisfaction problem
    • San Francisco, CA
    • Sadeh N and Fox MS (1996). Variable and value ordering heuristics for the job shop scheduling constraint satisfaction problem. Artifi Intell, San Francisco, CA 86: 1-41.
    • (1996) Artifi Intell , vol.86 , pp. 1-41
    • Sadeh, N.1    Fox, M.S.2
  • 77
    • 0002409769 scopus 로고    scopus 로고
    • (1995). Limited discrepancy search
    • Morgan Kaufmann, CA, USA
    • Harvey WD and Ginsberg ML (1995). Limited discrepancy search. In: Proceedings of IJCA195, Morgan Kaufmann, CA, USA, pp 607-613.
    • Proceedings of IJCA195 , pp. 607-613
    • Harvey, W.D.1    Ginsberg, M.L.2
  • 78
    • 0344667454 scopus 로고    scopus 로고
    • A tightly integrated modelling and optimization library: A new framework for rapid algorithm development
    • to appear)
    • Tebboth JR and Daniel RC (1999): A tightly integrated modelling and optimization library: A new framework for rapid algorithm development. Submitted to Annals of Opns Res, (to appear).
    • (1999) Submitted to Annals of Opns Res
    • Tebboth, J.R.1    Daniel, R.C.2
  • 82
    • 0002210721 scopus 로고
    • A distributed cooperating constraints solving system
    • Marti Ph and Rueher M (1995). A distributed cooperating constraints solving system. Int J Artifi Intell Tools 4: 93-113.
    • (1995) Int J Artifi Intell Tools , vol.4 , pp. 93-113
    • Marti, P.1    Rueher, M.2
  • 83
    • 0028550919 scopus 로고
    • Parallel branch-and- bound algorithms: Survey and synthesis
    • Gendron B and Crainic T (1994). Parallel branch-and- bound algorithms: survey and synthesis. Opns Res 42: 1042-1066.
    • (1994) Opns Res , vol.42 , pp. 1042-1066
    • Gendron, B.1    Crainic, T.2
  • 86
    • 0344236091 scopus 로고    scopus 로고
    • Parallel XPRESS-MP Interior Point
    • PAMIPS (Development of Parallel Algorithms and Software for Mixed Integer Programming in Industrial Scheduling), ESPRIT Project 8755
    • Zillober Ch (1996). Parallel XPRESS-MP Interior Point. Report and Software Manual. Technical report, PAMIPS (Development of Parallel Algorithms and Software for Mixed Integer Programming in Industrial Scheduling), ESPRIT Project 8755.
    • (1996) Report and Software Manual. Technical Report
    • Zillober, C.1
  • 87
    • 84957353019 scopus 로고    scopus 로고
    • Un Modèle de Résolution de Contraintes Adapté aux Problèmes D’ordonnancement
    • PhD
    • Colombani Y (1997). Un Modèle de Résolution de Contraintes Adapté aux Problèmes D’ordonnancement. Un Prototype et une Application. PhD thesis, LIM, Université Aix-Marseille II.
    • (1997) Un Prototype et une Application
    • Colombani, Y.1
  • 89
    • 0004141534 scopus 로고    scopus 로고
    • Dash Associates: Blisworth
    • XPRESS-MP (1997). Reference Manual. Dash Associates: Blisworth.
    • (1997) Reference Manual
  • 90
    • 0000577905 scopus 로고
    • General local search heuristics in combinatorialoptimization: A tutorial
    • Pirlot M (1993). General local search heuristics in combinatorial optimization: a tutorial. Belgian J of Op Res, Statistics and Comp Sc 32: 7-67.
    • (1993) Belgian J of Op Res, Statistics and Comp Sc , vol.32 , pp. 7-67
    • Pirlot, M.1
  • 91
    • 0344667447 scopus 로고    scopus 로고
    • Constraint programming: A great AI success
    • Prade H, John Wiley: Chichester
    • Puget J-F (1998). Constraint programming: a great AI success. In: Prade H (ed). Proceedings of ECA198, John Wiley: Chichester, pp 98-705.
    • (1998) Proceedings of ECA198 , pp. 98-705
    • Puget, J.-F.1
  • 93
    • 84984723908 scopus 로고
    • Incorporating efficient operations research algorithms in constraint-based scheduling
    • Timberline Lodge: Oregon. (Available from authors)
    • Baptiste Ph, Le Pape C and Nuijten W (1995). Incorporating efficient operations research algorithms in constraint-based scheduling. Presented at 1st Int. Joint Workshop on A.I. and O.R., Timberline Lodge: Oregon. (Available from authors).
    • (1995) Presented at 1St Int. Joint Workshop on A.I. And O.R.
    • Baptiste, P.1    Le Pape, C.2    Nuijten, W.3
  • 94
    • 84984725845 scopus 로고
    • Combinatorial problem solving in constraint logic programming with cooperating solvers
    • Beierle C and Plumer L, Elsevier Science B.V: Amsterdam
    • Beringer H and De Backer B (1995). Combinatorial problem solving in constraint logic programming with cooperating solvers. In: Beierle C and Plumer L (eds). Logic Programming: Formal Methods and Practical Applications. Elsevier Science B.V: Amsterdam, pp 245-272.
    • (1995) Logic Programming: Formal Methods and Practical Applications , pp. 245-272
    • Beringer, H.1    De Backer, B.2
  • 96
    • 0345098320 scopus 로고    scopus 로고
    • A Unifying Framework for Integer and Finite Domain Constraint Programming
    • Max-Planck-Institut, Saarbriicken
    • Bockmayr A and Kasper Th (1999). A Unifying Framework for Integer and Finite Domain Constraint Programming. Technical Report MPI-I-97-2-008, Max-Planck-Institut, Saarbriicken.
    • (1999) Technical Report MPI-I-97-2-008
    • Bockmayr, A.1    Kasper, T.2
  • 97
    • 0000087196 scopus 로고    scopus 로고
    • Constraint logic programming and integer programming approaches and their collaboration in solving an assignment scheduling problem
    • Darby-Dowman K, Little J, Mitra G and Zaffalon M (1997). Constraint logic programming and integer programming approaches and their collaboration in solving an assignment scheduling problem. Constraints 1: 245-264.
    • (1997) Constraints , vol.1 , pp. 245-264
    • Darby-Dowman, K.1    Little, J.2    Mitra, G.3    Zaffalon, M.4
  • 98
    • 0031483508 scopus 로고    scopus 로고
    • Logic, modelling, and programming
    • McAloon K and Tretkoff C (1999). Logic, modelling, and programming. Annals Opns Res 71: 335-372.
    • (1999) Annals Opns Res , vol.71 , pp. 335-372
    • Mc Aloon, K.1    Tretkoff, C.2
  • 99
    • 0345529834 scopus 로고    scopus 로고
    • Integrating constraint programming techniques into mathematical programming
    • Prade H, John Wiley: Chichester
    • Heipcke S (1998). Integrating constraint programming techniques into mathematical programming. In: Prade H (ed). Proceedings ofECAI98. John Wiley: Chichester, pp 259-260.
    • (1998) Proceedings Of ECAI 98 , pp. 259-260
    • Heipcke, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.