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Nash equilibria in competitive project scheduling

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  • Averbakh, Igor

Abstract

We consider the problem of scheduling activities of a project by a firm that competes with another firm that has to perform the same project. The profit that a firm gets from each activity depends on whether the firm finishes the activity before or after its competitor. It is required to find a Nash equilibrium solution or show that no such solutions exist. We present a structural characterization of Nash equilibrium solutions, and a low order polynomial algorithm for the problem.

Suggested Citation

  • Averbakh, Igor, 2010. "Nash equilibria in competitive project scheduling," European Journal of Operational Research, Elsevier, vol. 205(3), pages 552-556, September.
    • Handle: RePEc:eee:ejores:v:205:y:2010:i:3:p:552-556
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    References listed on IDEAS

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    1. Alvarez-Valdes, R. & Crespo, E. & Tamarit, J.M. & Villa, F., 2008. "GRASP and path relinking for project scheduling under partially renewable resources," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1153-1170, September.
    2. Ke, Hua & Liu, Baoding, 2007. "Project scheduling problem with mixed uncertainty of randomness and fuzziness," European Journal of Operational Research, Elsevier, vol. 183(1), pages 135-147, November.
    3. Ballestí­n, Francisco & Valls, Vicente & Quintanilla, Sacramento, 2008. "Pre-emption in resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1136-1152, September.
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    2. Cyril Briand & Sandra Ulrich Ngueveu & Přemysl Šůcha, 2017. "Finding an optimal Nash equilibrium to the multi-agent project scheduling problem," Journal of Scheduling, Springer, vol. 20(5), pages 475-491, October.
    3. Šůcha, Přemysl & Agnetis, Alessandro & Šidlovský, Marko & Briand, Cyril, 2021. "Nash equilibrium solutions in multi-agent project scheduling with milestones," European Journal of Operational Research, Elsevier, vol. 294(1), pages 29-41.
    4. Alessandro Agnetis & Cyril Briand & Sandra Ulrich Ngueveu & Přemysl Šůcha, 2020. "Price of anarchy and price of stability in multi-agent project scheduling," Annals of Operations Research, Springer, vol. 285(1), pages 97-119, February.
    5. Lee, Kangbok & Leung, Joseph Y.-T. & Pinedo, Michael L., 2012. "Coordination mechanisms for parallel machine scheduling," European Journal of Operational Research, Elsevier, vol. 220(2), pages 305-313.
    6. Pinker, Edieal & Szmerekovsky, Joseph & Tilson, Vera, 2014. "On the complexity of project scheduling to minimize exposed time," European Journal of Operational Research, Elsevier, vol. 237(2), pages 448-453.

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