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Competitive Two-Agent Scheduling and Its Applications

Author

Listed:
  • Joseph Y.-T. Leung

    (Department of Computer Science, New Jersey Institute of Technology, Newark, New Jersey 07102)

  • Michael Pinedo

    (Stern School of Business, New York University, New York, New York 10012)

  • Guohua Wan

    (Antai College of Economics and Management, Shanghai Jiao Tong University, Shanghai 200052, China)

Abstract

We consider a scheduling environment with m (m (ge) 1) identical machines in parallel and two agents. Agent A is responsible for n 1 jobs and has a given objective function with regard to these jobs; agent B is responsible for n 2 jobs and has an objective function that may be either the same or different from the one of agent A . The problem is to find a schedule for the n 1 + n 2 jobs that minimizes the objective of agent A (with regard to his n 1 jobs) while keeping the objective of agent B (with regard to his n 2 jobs) below or at a fixed level Q . The special case with a single machine has recently been considered in the literature, and a variety of results have been obtained for two-agent models with objectives such as f max , (sum) w j C j , and (sum) U j . In this paper, we generalize these results and solve one of the problems that had remained open. Furthermore, we enlarge the framework for the two-agent scheduling problem by including the total tardiness objective, allowing for preemptions, and considering jobs with different release dates; we consider also identical machines in parallel. We furthermore establish the relationships between two-agent scheduling problems and other areas within the scheduling field, namely rescheduling and scheduling subject to availability constraints.

Suggested Citation

  • Joseph Y.-T. Leung & Michael Pinedo & Guohua Wan, 2010. "Competitive Two-Agent Scheduling and Its Applications," Operations Research, INFORMS, vol. 58(2), pages 458-469, April.
    • Handle: RePEc:inm:oropre:v:58:y:2010:i:2:p:458-469
    DOI: 10.1287/opre.1090.0744
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    References listed on IDEAS

    as
    1. Jianzhong Du & Joseph Y.-T. Leung, 1990. "Minimizing Total Tardiness on One Machine is NP-Hard," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 483-495, August.
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