Proportionate flow shop games

Journal of Scheduling

Volumn 11, Issue 6, 2008, Pages 433-447

  Estévez Fernández, Arantza ^a   Mosquera, Manuel A ^b   Borm, Peter ^c   Hamers, Herbert ^c  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

^b UNIVERSITY OF VIGO   (Spain)

^c TILBURG UNIVERSITY   (Netherlands)

Author keywords

Convexity; Core; Proportionate flow shop problems; Shapley value

Indexed keywords

ALLOCATION PROBLEMS; COMPLETION TIMES; CONVEXITY; COOPERATIVE GAMES; CORE; COST SAVINGS; FIXED SEQUENCES; FLOW SHOPS; INITIAL PROCESSING; PROCESSING COSTS; PROCESSING TIMES; PROPORTIONATE FLOW SHOP PROBLEMS; SHAPLEY VALUE; SHAPLEY VALUES;

INFRARED SPECTROMETERS; MACHINE SHOP PRACTICE;

GAME THEORY;

EID: 55849090681     PISSN: 10946136     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10951-008-0062-z     Document Type: Article

References (26)

1. A. Allahverdi 1996 Two-machine proportionate flowshop scheduling with breakdowns to minimize maximum lateness Computers & Operations Research 23 10 909 916
2. A. Allahverdi M. Savsar 2001 Stochastic proportionate flowshop scheduling with setups Computers & Industrial Engineering 39 3 357 369
3. O. N. Bondareva 1963 Some applications of linear programming methods to the theory of cooperative games Problemy Kibernitiki 10 119 139 (in Russian)
4. P. Borm G. Fiestras-Janeiro H. Hamers E. Sánchez M. Voorneveld 2002 On the convexity of games corresponding to sequencing situations with due dates European Journal of Operational Research 136 616 634
5. P. Calleja P. Borm H. Hamers F. Klijn M. Slikker 2002 On a class of parallel sequencing situations and related games Annals of Operations Research 109 263 276
6. P. Calleja A. Estévez-Fernández P. Borm H. Hamers 2006 Job scheduling, cooperation, and control Operations Research Letters 34 22 28
7. T. C. E. Cheng N. Shakhlevich 1999 Proportionate flow shop with controllable processing times Journal of Scheduling 2 6 253 265
8. I. Curiel G. Pederzoli S. H. Tijs 1989 Sequencing games European Journal of Operational Research 40 3 344 351
9. I. Curiel J. Potters R. Prasad S. Tijs B. Veltman 1994 Sequencing and cooperation Operations Research 42 566 568
10. Curiel, I., Hamers, H., & Klijn, F. (2002). Sequencing games: a survey. In P. Borm & H. Peters (Eds.), Chapters in game theory: in honor of Stef Tijs (pp. 27-50). Boston: Kluwer Academic.
11. Estévez-Fernández, A., Calleja, P., Borm, P., & Hamers, H. (2004). Sequencing games with repeated players (CentER Discussion Paper 2004-128). Tilburg University, Tilburg, The Netherlands.
12. M. D. García-Sanz F. R. Fernández M. G. Fiestras-Janeiro I. García-Jurado J. Puerto 2008 Cooperation in Markovian queuing models European Journal of Operational Research 188 485 495
13. P. González C. Herrero 2004 Optimal sharing of surgical costs in the presence of queues Mathematical Methods of Operations Research 59 3 435 436
14. H. Hamers P. Borm S. Tijs 1995 On games corresponding to sequencing situations with ready times Mathematical Programming 69 471 483
15. H. Hamers F. Klijn J. Suijs 1999 On the balancedness of m-sequencing games European Journal of Operational Research 119 678 691
16. Hassin, R., & Haviv, M. (2003). To queue or not to queue: equilibrium behavior in queuing systems. Boston: Kluwer Academic.
17. M. LeBreton G. Owen S. Weber 1992 Strongly balanced cooperative games International Journal of Game Theory 20 419 427
18. F. Maniquet 2003 A characterization of the Shapley value in queuing problems Journal of Economic Theory 109 1 90 103
19. H. Moulin R. Stong 2002 Fair queuing and other probabilistic allocation methods Mathematics of Operations Research 27 1 1 30
20. N. Shakhlevich H. Hoogeveen M. Pinedo 1998 Minimizing total weighted completion time in a proportionate flow shop Journal of Scheduling 1 3 157 168
21. Shapley, L. S. (1953). A value for n-person games. In H. Kuhn & A. W. Tucker (Eds.), Annals of mathematics studies : Vol. 28. Contribution to the theory of games II (pp. 307-317). Princeton: Princeton University Press.
22. L. S. Shapley 1967 On balanced sets and cores Naval Research Logistics Quarterly 14 453 460
23. L. S. Shapley 1971 Cores of convex games International Journal of Game Theory 1 11 26
24. Shiau, D. F., & Huang, Y. M. (2004). Solving proportionate flexible flow shop scheduling problems: a column generation approach. In M. Hamza (Ed.), Modelling, simulation, and optimization.
25. A. van den Nouweland M. Krabbenborg J. Potters 1990 Flow-shops with a dominant machine European Journal of Operational Research 62 1 38 46
26. B. van Velzen 2006 Sequencing games with controllable processing times European Journal of Operational Research 172 1 64 85