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Scheduling two job families on a single machine with two competitive agents

Author

Listed:
  • Shi-Sheng Li

    (Zhongyuan University of Technology)

  • Ren-Xia Chen

    (Zhongyuan University of Technology)

  • Qi Feng

    (Zhongyuan University of Technology)

Abstract

We consider the scheduling problems arising when two agents, each with a family of jobs, compete to perform their respective jobs on a single machine. A setup time is needed for a job if it is the first job to be processed on the machine or its processing on the machine follows a job that belongs to another family. Each agent wants to minimize a certain cost function, which depends on the completion times of its jobs only. The aim is to find a schedule for all the jobs of the two agents that minimizes the objective of one agent while keeping the objective of the other agent being bounded by a fixed value $$Q$$ Q . Polynomial-time and pseudo-polynomial-time algorithms are designed to solve the problem involving various combinations of regular scheduling objective functions.

Suggested Citation

  • Shi-Sheng Li & Ren-Xia Chen & Qi Feng, 2016. "Scheduling two job families on a single machine with two competitive agents," Journal of Combinatorial Optimization, Springer, vol. 32(3), pages 784-799, October.
    • Handle: RePEc:spr:jcomop:v:32:y:2016:i:3:d:10.1007_s10878-015-9902-x
    DOI: 10.1007/s10878-015-9902-x
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    References listed on IDEAS

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    Cited by:

    1. Cheng He & Chunqi Xu & Hao Lin, 2020. "Serial-batching scheduling with two agents to minimize makespan and maximum cost," Journal of Scheduling, Springer, vol. 23(5), pages 609-617, October.

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