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On the balancedness of relaxed sequencing games

Author

Listed:
  • Bas van Velzen
  • Herbert Hamers

Abstract

This paper shows that some classes of relaxed sequencing games, which arise from the class of sequencing games as introduced in Curiel, Pederzoli, Tijs (1989), are balanced. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Bas van Velzen & Herbert Hamers, 2003. "On the balancedness of relaxed sequencing games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(2), pages 287-297, May.
  • Handle: RePEc:spr:mathme:v:57:y:2003:i:2:p:287-297
    DOI: 10.1007/s001860200243
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    Citations

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    Cited by:

    1. Atay, Ata & Calleja, Pedro & Soteras, Sergio, 2021. "Open shop scheduling games," European Journal of Operational Research, Elsevier, vol. 295(1), pages 12-21.
    2. Gerichhausen, Marloes & Hamers, Herbert, 2009. "Partitioning sequencing situations and games," European Journal of Operational Research, Elsevier, vol. 196(1), pages 207-216, July.
    3. Calleja, P. & Estevez Fernandez, M.A. & Borm, P.E.M. & Hamers, H.J.M., 2004. "Job Scheduling, Cooperation and Control," Discussion Paper 2004-65, Tilburg University, Center for Economic Research.
    4. M. Musegaas & P. E. M. Borm & M. Quant, 2018. "On the convexity of step out–step in sequencing games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 68-109, April.
    5. Hendrickx, R.L.P., 2004. "Cooperation and allocation," Other publications TiSEM ab33e762-204c-46e2-86b1-0, Tilburg University, School of Economics and Management.
    6. 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.
    7. van Velzen, S. & Hamers, H.J.M. & Norde, H.W., 2005. "A Note on Permutationally Convex Games," Other publications TiSEM eaa5e42b-9096-4a59-9cfd-0, Tilburg University, School of Economics and Management.
    8. van Velzen, S. & Hamers, H.J.M. & Norde, H.W., 2005. "A Note on Permutationally Convex Games," Discussion Paper 2005-83, Tilburg University, Center for Economic Research.
    9. Trudeau, Christian, 2009. "Network flow problems and permutationally concave games," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 121-131, July.
    10. Marco Slikker, 2006. "Relaxed sequencing games have a nonempty core," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(4), pages 235-242, June.
    11. 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.
    12. Ciftci, B.B., 2009. "A cooperative approach to sequencing and connection problems," Other publications TiSEM b0f08a17-4734-4d57-ad66-f, Tilburg University, School of Economics and Management.
    13. Gerichhausen, M. & Hamers, H.J.M., 2007. "Partitioning Sequencing Situations and Games," Discussion Paper 2007-40, Tilburg University, Center for Economic Research.
    14. Gerichhausen, M. & Hamers, H.J.M., 2007. "Partitioning Sequencing Situations and Games," Other publications TiSEM 2bddbf5c-c56d-4b10-ba47-5, Tilburg University, School of Economics and Management.
    15. Slikker, Marco, 2023. "The stable gain splitting rule for sequencing situations," European Journal of Operational Research, Elsevier, vol. 310(2), pages 902-913.
    16. van Velzen, S., 2005. "Cooperation in Networks and Scheduling," Other publications TiSEM 81d927bb-fc40-4306-8f7f-a, Tilburg University, School of Economics and Management.

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