메뉴 건너뛰기




Volumn 70, Issue 5-8, 2014, Pages 1473-1485

Considering the game-theoretic approach and ultra combinative costs on scheduling

Author keywords

Cooperative games; Game theory; Matroid optimization; Scheduling; Ultra combinative costs

Indexed keywords

COOPERATIVE GAME; COOPERATIVE GAME THEORY; ESTIMATION ALGORITHM; FACILITY LOCATIONS; GAME-THEORETIC; NEGATIVE EXTERNALITIES; NETWORK DESIGN; STRONGLY NP-HARD;

EID: 84896709266     PISSN: 02683768     EISSN: 14333015     Source Type: Journal    
DOI: 10.1007/s00170-013-5388-9     Document Type: Article
Times cited : (5)

References (67)
  • 2
    • 63049116577 scopus 로고    scopus 로고
    • A game-theory approach for job scheduling in networked manufacturing
    • Zhou G, Jiang P, Huang GQ (2010) A game-theory approach for job scheduling in networked manufacturing. Int J Adv Manuf Technol 41(9-10):972-985
    • (2010) Int J Adv Manuf Technol , vol.41 , Issue.9-10 , pp. 972-985
    • Zhou, G.1    Jiang, P.2    Huang, G.Q.3
  • 4
    • 80255127304 scopus 로고    scopus 로고
    • A convex representation of totally balanced games
    • 10.1016/j.jmaa.2011.10.026 10.1016/j.jmaa.2011.10.026 1229.91039 2853204
    • Bilbao JM, Martínez-Legaz JE (2012) A convex representation of totally balanced games. J Math Anal Appl 387(2):1167-1175. doi: 10.1016/j.jmaa.2011.10.026
    • (2012) J Math Anal Appl , vol.387 , Issue.2 , pp. 1167-1175
    • Bilbao, J.M.1    Martínez-Legaz, J.E.2
  • 5
    • 0000095809 scopus 로고
    • An analysis of algorithm for maximizing for submodular set functions-I
    • 10.1007/BF01588971 0374.90045 503866
    • Nemhauser GL, Wolsey MA, Fisher ML (1978) An analysis of algorithm for maximizing for submodular set functions-I. Math Program 14:265-294
    • (1978) Math Program , vol.14 , pp. 265-294
    • Nemhauser, G.L.1    Wolsey, M.A.2    Fisher, M.L.3
  • 7
    • 61849104971 scopus 로고    scopus 로고
    • Supply chain management and retailer performance: Emerging trends
    • 10.1016/j.jretai.2008.12.001 2791420
    • Ganesan S et al (2009) Supply chain management and retailer performance: emerging trends. Issues and Implications for Research and Practice Journal of Retailing 85(1):84-94. doi: 10.1016/j.jretai.2008.12.001
    • (2009) Issues and Implications for Research and Practice Journal of Retailing , vol.85 , Issue.1 , pp. 84-94
    • Ganesan, S.1
  • 8
    • 0001383874 scopus 로고
    • Quasi-cores in a monetary economy with nonconvex preferences
    • 10.2307/1910101 0154.45303
    • Shapley LS, Shubik M (1966) Quasi-cores in a monetary economy with nonconvex preferences. Econometrica 34:805-827
    • (1966) Econometrica , vol.34 , pp. 805-827
    • Shapley, L.S.1    Shubik, M.2
  • 9
    • 0001443849 scopus 로고
    • Geometric properties of the kernel, nucleolus and related solutions concepts
    • 10.1287/moor.4.4.303 0426.90097 549121
    • Maschler M, Peleg B, Shapley LS (1979) Geometric properties of the kernel, nucleolus and related solutions concepts. Mathematics of operations research 4:303-338
    • (1979) Mathematics of Operations Research , vol.4 , pp. 303-338
    • Maschler, M.1    Peleg, B.2    Shapley, L.S.3
  • 11
    • 0016594972 scopus 로고
    • On the core of linear production games
    • 10.1007/BF01681356 0318.90060 403700
    • Owen G (1975) On the core of linear production games. Math Program 9(5):358-370
    • (1975) Math Program , vol.9 , Issue.5 , pp. 358-370
    • Owen, G.1
  • 12
    • 0019587745 scopus 로고
    • Minimum cost spanning tree games
    • 10.1007/BF01584227 0461.90099
    • Granot D, Hoberman G (1981) Minimum cost spanning tree games. Math Program 21:1-18
    • (1981) Math Program , vol.21 , pp. 1-18
    • Granot, D.1    Hoberman, G.2
  • 13
    • 0026692482 scopus 로고
    • Traveling salesman games
    • 10.1007/BF01585702 1148013
    • Potters J, Curiel I, Tijs S (1991) Traveling salesman games. Math Program 53:199-211
    • (1991) Math Program , vol.53 , pp. 199-211
    • Potters, J.1    Curiel, I.2    Tijs, S.3
  • 15
    • 0038287385 scopus 로고    scopus 로고
    • A characterization of the Shaley value in queuing problems
    • 10.1016/S0022-0531(02)00036-4 1032.91020 1983221
    • Maniquet F (2003) A characterization of the Shaley value in queuing problems. J Econ Theory 109:90-103
    • (2003) J Econ Theory , vol.109 , pp. 90-103
    • Maniquet, F.1
  • 16
    • 0024682173 scopus 로고
    • Sequencing games
    • 10.1016/0377-2217(89)90427-X 0674.90107 1004986
    • Curiel I, Pederzoli G, Tijs S (1989) Sequencing games. Eur J Oper Res 40:344-351
    • (1989) Eur J Oper Res , vol.40 , pp. 344-351
    • Curiel, I.1    Pederzoli, G.2    Tijs, S.3
  • 17
    • 1442313867 scopus 로고    scopus 로고
    • Cooperative facility location games
    • 10.1016/S0196-6774(03)00098-1 2049792
    • Geomans MX, Skutella M (2004) Cooperative facility location games. Journal of Algorithms 50:194-214
    • (2004) Journal of Algorithms , vol.50 , pp. 194-214
    • Geomans, M.X.1    Skutella, M.2
  • 18
    • 0001875219 scopus 로고    scopus 로고
    • Cores of inventory centralization games
    • 10.1006/game.1999.0732 0960.91008 1748370
    • Hartman B, Dror M, Shaked M (2000) Cores of inventory centralization games. Games and Economic Behavior 31:26-49
    • (2000) Games and Economic Behavior , vol.31 , pp. 26-49
    • Hartman, B.1    Dror, M.2    Shaked, M.3
  • 19
    • 0000986109 scopus 로고
    • On apportioning costs to customers in centralized continuous review inventory systems
    • 10.1016/0272-6963(91)90010-U
    • Gerchak Y, Gupta D (1991) On apportioning costs to customers in centralized continuous review inventory systems. J Oper Manag 10:546-551
    • (1991) J Oper Manag , vol.10 , pp. 546-551
    • Gerchak, Y.1    Gupta, D.2
  • 20
    • 33751185100 scopus 로고    scopus 로고
    • Polynomial time approximation schemes and parameterized complexity
    • 10.1016/j.dam.2006.04.040 10.1016/j.dam.2006.04.040 1109.68135
    • Chen J et al (2007) Polynomial time approximation schemes and parameterized complexity. Discret Appl Math 155(2):180-193. doi: 10.1016/j.dam.2006.04.040
    • (2007) Discret Appl Math , vol.155 , Issue.2 , pp. 180-193
    • Chen, J.1
  • 23
    • 38249009192 scopus 로고
    • The least core, nucleolus, and kernel of homogeneous weighted majority games
    • 10.1016/0899-8256(92)90039-U 0765.90096 1186287
    • Peleg B, Rosenmuller J (1992) The least core, nucleolus, and kernel of homogeneous weighted majority games. Games and Economic Behavior 4:588-605
    • (1992) Games and Economic Behavior , vol.4 , pp. 588-605
    • Peleg, B.1    Rosenmuller, J.2
  • 24
    • 0032065478 scopus 로고    scopus 로고
    • The least core, kernel and bargaining sets of large games
    • 10.1007/s001990050203 0903.90185 1627440
    • Einy E, Monderer D, Moreno D (1998) The least core, kernel and bargaining sets of large games. Economic Theory 11:585-601
    • (1998) Economic Theory , vol.11 , pp. 585-601
    • Einy, E.1    Monderer, D.2    Moreno, D.3
  • 25
    • 0038797918 scopus 로고    scopus 로고
    • Allocations processes in cooperative games
    • 10.1007/s001820200123 1083.91023 1983409
    • Lehrer E (2002) Allocations processes in cooperative games. International Journal of Game Theory 31:341-351
    • (2002) International Journal of Game Theory , vol.31 , pp. 341-351
    • Lehrer, E.1
  • 26
    • 0030269191 scopus 로고    scopus 로고
    • Simple flow games
    • 10.1006/game.1996.0085 0871.90124 1419661
    • Reijnierse H et al (1996) Simple flow games. Games and Economic Behavior 16:238-260
    • (1996) Games and Economic Behavior , vol.16 , pp. 238-260
    • Reijnierse, H.1
  • 27
    • 0037958846 scopus 로고    scopus 로고
    • Note on the computational complexity of least core concepts for min-cost spanning tree games
    • 10.1007/s001860000059 1054.91010 1782374
    • Faigle U, Kern W, Paulusma D (2000) Note on the computational complexity of least core concepts for min-cost spanning tree games. Mathematical Methods of Operations Research 52:23-38
    • (2000) Mathematical Methods of Operations Research , vol.52 , pp. 23-38
    • Faigle, U.1    Kern, W.2    Paulusma, D.3
  • 28
    • 0038386374 scopus 로고    scopus 로고
    • Matching games: The least core and the nucleolus
    • 10.1287/moor.28.2.294.14477 1082.91016 1980665
    • Kern W, Paulusma D (2003) Matching games: the least core and the nucleolus. Mathematics of operations research 28:294-308
    • (2003) Mathematics of Operations Research , vol.28 , pp. 294-308
    • Kern, W.1    Paulusma, D.2
  • 29
    • 0035538778 scopus 로고    scopus 로고
    • On the computation of the nucleolus of the cooperative game
    • 10.1007/s001820100065 1060.91011 1863715
    • Faigle U, Kern W, Paulusma D (2001) On the computation of the nucleolus of the cooperative game. International Journal of Game Theory 30:79-98
    • (2001) International Journal of Game Theory , vol.30 , pp. 79-98
    • Faigle, U.1    Kern, W.2    Paulusma, D.3
  • 31
    • 84867955108 scopus 로고    scopus 로고
    • The base-matroid and inverse combinatorial optimization problems
    • 10.1016/S0166-218X(02)00498-5 1039.05020 1978595
    • Dell'Amico M, Maffioli F, Malucelli F (2003) The base-matroid and inverse combinatorial optimization problems. Discret Appl Math 128(2-3):337-353
    • (2003) Discret Appl Math , vol.128 , Issue.2-3 , pp. 337-353
    • Dell'Amico, M.1    Maffioli, F.2    Malucelli, F.3
  • 32
    • 6244271807 scopus 로고
    • Mixed integer programming formulations for production planning and scheduling problems
    • 1985, MIT: Cambridge, MA
    • Wolsey LA (1985) Mixed integer programming formulations for production planning and scheduling problems. In 12th International Symposium on Mathematical Programming. 1985, MIT: Cambridge, MA
    • (1985) 12th International Symposium on Mathematical Programming
    • Wolsey, L.A.1
  • 33
    • 0001267667 scopus 로고
    • Structure of a simple scheduling polyhedron
    • 10.1007/BF01581271 0778.90031 1216495
    • Queyranne M (1993) Structure of a simple scheduling polyhedron. Math Program 58:263-285
    • (1993) Math Program , vol.58 , pp. 263-285
    • Queyranne, M.1
  • 35
    • 0036487488 scopus 로고    scopus 로고
    • Single machine scheduling with release dates
    • 10.1137/S089548019936223X 1009.90096 1920180
    • Goemans MX et al (2002) Single machine scheduling with release dates. SIAM J Discret Math 15:165-192
    • (2002) SIAM J Discret Math , vol.15 , pp. 165-192
    • Goemans, M.X.1
  • 36
    • 0018542003 scopus 로고
    • Equilibrium points in non-zero sum n-person submodular games
    • 10.1137/0317054 0433.90091 548704
    • Topkis D (1979) Equilibrium points in non-zero sum n-person submodular games. SIAM J of Control and Optimization 17(6):773-787
    • (1979) SIAM J. of Control and Optimization , vol.17 , Issue.6 , pp. 773-787
    • Topkis, D.1
  • 37
    • 44949269402 scopus 로고
    • Nash equilibrium with strategic complementarities
    • 10.1016/0304-4068(90)90005-T 0708.90094 1047174
    • Vives X (1990) Nash equilibrium with strategic complementarities. J Math Econ 19:305-321
    • (1990) J Math Econ , vol.19 , pp. 305-321
    • Vives, X.1
  • 38
    • 0000175219 scopus 로고
    • Rationalizability and learning in games with strategic complementarities
    • 10.2307/2938316 0728.90098 1080810
    • Milgrom P, Roberts J (1990) Rationalizability and learning in games with strategic complementarities. Econometrica 58:1255-1278
    • (1990) Econometrica , vol.58 , pp. 1255-1278
    • Milgrom, P.1    Roberts, J.2
  • 39
    • 84936526568 scopus 로고
    • Multimarket oligopoly: Strategic substitutes and strategic complements
    • 10.1086/261312
    • Bulow JI, Geanakoplos JD, Klemperer PD (1985) Multimarket oligopoly: strategic substitutes and strategic complements. J Polit Econ 93:488-511
    • (1985) J Polit Econ , vol.93 , pp. 488-511
    • Bulow, J.I.1    Geanakoplos, J.D.2    Klemperer, P.D.3
  • 40
    • 84888478571 scopus 로고
    • Coordinating coordination failures in Keynesian models
    • 10.2307/1885539 0647.90014 964242
    • Cooper R, John A (1988) Coordinating coordination failures in Keynesian models. Q J Econ 103(3):441-463
    • (1988) Q J Econ , vol.103 , Issue.3 , pp. 441-463
    • Cooper, R.1    John, A.2
  • 42
    • 33750459348 scopus 로고    scopus 로고
    • Discrete optimization on combinatorial optimization problems on matroids with uncertain weights
    • 10.1016/j.ejor.2005.12.033 1110.90075
    • Kasperski A, Zieliński P (2007) Discrete optimization on combinatorial optimization problems on matroids with uncertain weights. Eur J Oper Res 177(2):851-864
    • (2007) Eur J Oper Res , vol.177 , Issue.2 , pp. 851-864
    • Kasperski, A.1    Zieliński, P.2
  • 43
    • 44649166470 scopus 로고    scopus 로고
    • Approximation complexity of additive random fields
    • 10.1016/j.jco.2007.11.002 1152.65014 2426758
    • Lifshits MA, Zani M (2008) Approximation complexity of additive random fields. J Complex 24(3):362-379
    • (2008) J Complex , vol.24 , Issue.3 , pp. 362-379
    • Lifshits, M.A.1    Zani, M.2
  • 45
    • 77955558028 scopus 로고    scopus 로고
    • Product partition" and related problems of scheduling and systems reliability: Computational complexity and approximation
    • 10.1016/j.ejor.2010.05.034 1205.68174
    • Ng CT et al (2010) "Product partition" and related problems of scheduling and systems reliability: computational complexity and approximation. Eur J Oper Res 207(2):601-604
    • (2010) Eur J Oper Res , vol.207 , Issue.2 , pp. 601-604
    • Ng, C.T.1
  • 47
    • 34548390510 scopus 로고    scopus 로고
    • Single-machine scheduling with an availability constraint to minimize the weighted sum of the completion times
    • 10.1016/j.cor.2006.04.010 10.1016/j.cor.2006.04.010 05202101 2566390
    • Kacem I, Chu C, Souissi A (2008) Single-machine scheduling with an availability constraint to minimize the weighted sum of the completion times. Computers & Operations Research 35(3):827-844. doi: 10.1016/j.cor.2006.04. 010
    • (2008) Computers & Operations Research , vol.35 , Issue.3 , pp. 827-844
    • Kacem, I.1    Chu, C.2    Souissi, A.3
  • 49
    • 0002066821 scopus 로고
    • Various optimizers for single-stage production
    • 10.1002/nav.3800030106 89109
    • Smith WE (1956) Various optimizers for single-stage production. Naval Research Logistics Quarterly 3:59-66
    • (1956) Naval Research Logistics Quarterly , vol.3 , pp. 59-66
    • Smith, W.E.1
  • 50
    • 67349243757 scopus 로고    scopus 로고
    • Single-machine and flowshop scheduling with a general learning effect model
    • 10.1016/j.cie.2008.10.002 10.1016/j.cie.2008.10.002 2488271
    • Wu C-C, Lee W-C (2009) Single-machine and flowshop scheduling with a general learning effect model. Computers & Industrial Engineering 56(4):1553-1558. doi: 10.1016/j.cie.2008.10.002
    • (2009) Computers & Industrial Engineering , vol.56 , Issue.4 , pp. 1553-1558
    • Wu, C.-C.1    Lee, W.-C.2
  • 51
    • 35348985359 scopus 로고    scopus 로고
    • Single machine scheduling with simple linear deterioration to minimize total absolute deviation of completion times
    • 10.1016/j.cor.2006.10.010 1139.90012 2579743
    • Oron D (2008) Single machine scheduling with simple linear deterioration to minimize total absolute deviation of completion times. Computers & Operations Research 35(6):2071-2078
    • (2008) Computers & Operations Research , vol.35 , Issue.6 , pp. 2071-2078
    • Oron, D.1
  • 52
    • 25144495566 scopus 로고    scopus 로고
    • Optimal scheduling for a single machine to minimize the sum of maximum earliness and tardiness considering idle insert
    • 10.1016/j.amc.2004.08.022 10.1016/j.amc.2004.08.022 1079.90062 2169778
    • Tavakkoli-Moghaddam R et al (2005) Optimal scheduling for a single machine to minimize the sum of maximum earliness and tardiness considering idle insert. Appl Math Comput 167(2):1430-1450. doi: 10.1016/j.amc.2004.08.022
    • (2005) Appl Math Comput , vol.167 , Issue.2 , pp. 1430-1450
    • Tavakkoli-Moghaddam, R.1
  • 53
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • 10.1145/227683.227684
    • Geomans MX, Williamson DP (1995) Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J ACM 42:1115-1145
    • (1995) J ACM , vol.42 , pp. 1115-1145
    • Geomans, M.X.1    Williamson, D.P.2
  • 54
    • 63449093371 scopus 로고    scopus 로고
    • Algorithms for special cases of the single machine total tardiness problem and an application to the even-odd partition problem
    • 10.1016/j.mcm.2009.01.003 1198.68152 2532111
    • Lazarev AA, Werner F (2009) Algorithms for special cases of the single machine total tardiness problem and an application to the even-odd partition problem. Math Comput Model 49(9-10):2061-2072
    • (2009) Math Comput Model , vol.49 , Issue.9-10 , pp. 2061-2072
    • Lazarev, A.A.1    Werner, F.2
  • 55
    • 55749111866 scopus 로고    scopus 로고
    • On-line scheduling of two parallel machines with a single server
    • 10.1016/j.cor.2008.02.015 10.1016/j.cor.2008.02.015 1177.90193 2586321
    • Zhang L, Wirth A (2009) On-line scheduling of two parallel machines with a single server. Computers & Operations Research 36(5):1529-1553. doi: 10.1016/j.cor.2008.02.015
    • (2009) Computers & Operations Research , vol.36 , Issue.5 , pp. 1529-1553
    • Zhang, L.1    Wirth, A.2
  • 56
    • 0036489506 scopus 로고    scopus 로고
    • Scheduling parallel machines with a single server: Some solvable cases and heuristics
    • 10.1016/S0305-0548(00)00074-5 10.1016/S0305-0548(00)00074-5 1871252
    • Abdekhodaee AH, Wirth A (2002) Scheduling parallel machines with a single server: some solvable cases and heuristics. Computers & Operations Research 29(3):2995-315. doi: 10.1016/S0305-0548(00)00074-5
    • (2002) Computers & Operations Research , vol.29 , Issue.3 , pp. 2995-3315
    • Abdekhodaee, A.H.1    Wirth, A.2
  • 57
    • 72049107836 scopus 로고    scopus 로고
    • Parallel dedicated machine scheduling problem with sequence-dependent setups and a single server
    • 10.1016/j.cie.2009.10.003 10.1016/j.cie.2009.10.003
    • Huang S, Cai L, Zhang X (2010) Parallel dedicated machine scheduling problem with sequence-dependent setups and a single server. Computers & Industrial Engineering 58(1):165-174. doi: 10.1016/j.cie.2009.10.003
    • (2010) Computers & Industrial Engineering , vol.58 , Issue.1 , pp. 165-174
    • Huang, S.1    Cai, L.2    Zhang, X.3
  • 58
    • 0041110806 scopus 로고
    • Efficient algorithms for a family of matroid intersection problems
    • 10.1016/0196-6774(84)90042-7 0545.05029 736930
    • Gabow H, Tarjan R (1984) Efficient algorithms for a family of matroid intersection problems. Journal of Algorithms 5:80-131
    • (1984) Journal of Algorithms , vol.5 , pp. 80-131
    • Gabow, H.1    Tarjan, R.2
  • 59
    • 33750843991 scopus 로고    scopus 로고
    • Single-machine scheduling with deteriorating jobs and learning effects to minimize the makespan
    • 10.1016/j.ejor.2006.01.017 1110.90045
    • Wang X, Cheng TCE (2007) Single-machine scheduling with deteriorating jobs and learning effects to minimize the makespan. Eur J Oper Res 178(1):57-70
    • (2007) Eur J Oper Res , vol.178 , Issue.1 , pp. 57-70
    • Wang, X.1    Cheng, T.C.E.2
  • 61
    • 23944464445 scopus 로고    scopus 로고
    • Order scheduling in an environment with dedicated resources in parallel
    • 10.1007/s10951-005-2860-x 1123.90030 2152020
    • Leung JY-T, Li H, Pinedo ML (2005) Order scheduling in an environment with dedicated resources in parallel. J Sched 8:355-386
    • (2005) J Sched , vol.8 , pp. 355-386
    • Leung, J.-T.1    Li, H.2    Pinedo, M.L.3
  • 63
    • 0042903195 scopus 로고
    • On some approximately balanced combinatorial cooperative games
    • 10.1007/BF01414210 0788.90089 1242546
    • Faigle U, Kern W (1993) On some approximately balanced combinatorial cooperative games. Methods and Models of Operations Research 38:141-152
    • (1993) Methods and Models of Operations Research , vol.38 , pp. 141-152
    • Faigle, U.1    Kern, W.2
  • 64
    • 11744257168 scopus 로고    scopus 로고
    • Approximate core allocation for binpacking games
    • 10.1137/S0895480296308074 1628102
    • Faigle U, Kern W (1998) Approximate core allocation for binpacking games. SIAM J Discret Math 11:388-399
    • (1998) SIAM J Discret Math , vol.11 , pp. 388-399
    • Faigle, U.1    Kern, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.