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Sequencing Situations and Games with Non-Linear Cost Functions

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  • Schouten, Jop

    (Tilburg University, School of Economics and Management)

  • Saavedra-Nieves, Alejandro
  • Fiestras-Janeiro, G.

Abstract

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Suggested Citation

  • Schouten, Jop & Saavedra-Nieves, Alejandro & Fiestras-Janeiro, G., 2020. "Sequencing Situations and Games with Non-Linear Cost Functions," Other publications TiSEM 3e1db5c9-0f77-4f91-a075-c, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:3e1db5c9-0f77-4f91-a075-c01a9ea30b70
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/32560215/2020_006.pdf
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    References listed on IDEAS

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    1. Hamers, Herbert & Suijs, Jeroen & Tijs, Stef & Borm, Peter, 1996. "The Split Core for Sequencing Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 165-176, August.
    2. Hamers, H.J.M. & Borm, P.E.M. & Tijs, S.H., 1993. "On games corresponding to sequencing situations with ready times," Other publications TiSEM 8e2af556-5430-4f98-9334-c, Tilburg University, School of Economics and Management.
    3. Borm, Peter & Fiestras-Janeiro, Gloria & Hamers, Herbert & Sanchez, Estela & Voorneveld, Mark, 2002. "On the convexity of games corresponding to sequencing situations with due dates," European Journal of Operational Research, Elsevier, vol. 136(3), pages 616-634, February.
    4. Herbert Hamers & Flip Klijn & Bas Velzen, 2005. "On the Convexity of Precedence Sequencing Games," Annals of Operations Research, Springer, vol. 137(1), pages 161-175, July.
    5. Curiel, I. & Potters, J.A.M. & Rajendra Prasad, V. & Tijs, S.H. & Veltman, B., 1993. "Cooperation in one machine scheduling," Other publications TiSEM 9c5ceec5-2080-4b5c-98d5-0, Tilburg University, School of Economics and Management.
    6. Arantza Estévez-Fernández & Peter Borm & Pedro Calleja & Herbert Hamers, 2008. "Sequencing games with repeated players," Annals of Operations Research, Springer, vol. 158(1), pages 189-203, February.
    7. Liu, Zhixin & Lu, Liang & Qi, Xiangtong, 2018. "Cost allocation in rescheduling with machine unavailable period," European Journal of Operational Research, Elsevier, vol. 266(1), pages 16-28.
    8. Musegaas, M. & Borm, P.E.M. & Quant, M., 2015. "Step out–Step in sequencing games," European Journal of Operational Research, Elsevier, vol. 246(3), pages 894-906.
    9. Chen, Jian & Huang, George Q. & Wang, Jun-Qiang & Yang, Chen, 2019. "A cooperative approach to service booking and scheduling in cloud manufacturing," European Journal of Operational Research, Elsevier, vol. 273(3), pages 861-873.
    10. Imma Curiel & Jos Potters & Rajendra Prasad & Stef Tijs & Bart Veltman, 1994. "Sequencing and Cooperation," Operations Research, INFORMS, vol. 42(3), pages 566-568, June.
    11. Saavedra-Nieves, Alejandro & Schouten, Jop & Borm, Peter, 2020. "On interactive sequencing situations with exponential cost functions," European Journal of Operational Research, Elsevier, vol. 280(1), pages 78-89.
    12. Wayne E. Smith, 1956. "Various optimizers for single‐stage production," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(1‐2), pages 59-66, March.
    13. Curiel, I. & Potters, J.A.M. & Rajendra Prasad, V. & Tijs, S.H. & Veltman, B., 1994. "Sequencing and cooperation," Other publications TiSEM be67f9e9-7a4a-47f1-9fb9-7, Tilburg University, School of Economics and Management.
    14. Marco Slikker, 2006. "Relaxed sequencing games have a nonempty core," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(4), pages 235-242, June.
    15. Yang, Guangjing & Sun, Hao & Hou, Dongshuang & Xu, Genjiu, 2019. "Games in sequencing situations with externalities," European Journal of Operational Research, Elsevier, vol. 278(2), pages 699-708.
    16. Biskup, Dirk, 2008. "A state-of-the-art review on scheduling with learning effects," European Journal of Operational Research, Elsevier, vol. 188(2), pages 315-329, July.
    17. Michael H. Rothkopf, 1966. "Scheduling Independent Tasks on Parallel Processors," Management Science, INFORMS, vol. 12(5), pages 437-447, January.
    18. Edwin Lohmann & Peter Borm & Marco Slikker, 2014. "Sequencing situations with Just-in-Time arrival, and related games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(3), pages 285-305, December.
    19. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
    20. Herbert Hamers & Flip Klijn & Bas van Velzen, 2002. "On Games corresponding to Sequencing Situations with Precedence Relations," UFAE and IAE Working Papers 553.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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