Two-agent scheduling on a single parallel-batching machine with equal processing time and non-identical job sizes

Jun Qiang Wang, Guo Qiang Fan, Yingqian Zhang, Cheng Wu Zhang, Joseph Y.T. Leung

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We schedule the jobs from two agents on a single parallel-batching machine with equal processing time and non-identical job sizes. The objective is to minimize the makespan of the first agent subject to an upper bound on the makespan of the other agent. We show that there is no polynomial-time approximation algorithm for solving this problem with a finite worst-case ratio, unless P=NP. Then, we propose an effective algorithm LB to obtain a lower bound of the optimal solution, and two algorithms, namely, reserved-space heuristic (RSH) and dynamic-mix heuristic (DMH), to solve the two-agent scheduling problem. Finally, we evaluate the performance of the proposed algorithms with a set of computational experiments. The results show that Algorithm LB works well and tends to perform better with the increase of the number of jobs. Furthermore, our results demonstrate that RSH and DMH work well on different cases. Specifically, when the optimal makespan on the first agent exceeds the upper bound of the makespan of the other agent, RSH outperforms or equals DMH, otherwise DMH is not less favorable than RSH.

Original languageEnglish (US)
Pages (from-to)478-490
Number of pages13
JournalEuropean Journal of Operational Research
Volume258
Issue number2
DOIs
StatePublished - Apr 16 2017

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Modeling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management

Keywords

  • Heuristics
  • NP-hardness
  • Parallel-batching machine
  • Scheduling
  • Two-agent scheduling

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