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Minimizing total completion time and makespan for a multi-scenario bi-criteria parallel machine scheduling problem

Author

Listed:
  • Zhang, Xiechen
  • Angel, Eric
  • Chu, Feng
  • Regnault, Damien

Abstract

Multi-criteria scheduling problems under uncertainty remain a relatively unexplored topic in theoretical computer science despite substantial practical interests. This work studies a bi-objective identical parallel machine scheduling problem under uncertainty, in which the first objective is to minimize the total completion time, and the second is to minimize the makespan. Especially a job’s processing time is assumed to be represented by a polynomial function with respect to scenario u∈U, where U⊂R+ is an interval containing an infinite number of scenarios.

Suggested Citation

  • Zhang, Xiechen & Angel, Eric & Chu, Feng & Regnault, Damien, 2025. "Minimizing total completion time and makespan for a multi-scenario bi-criteria parallel machine scheduling problem," European Journal of Operational Research, Elsevier, vol. 321(2), pages 397-406.
    • Handle: RePEc:eee:ejores:v:321:y:2025:i:2:p:397-406
    DOI: 10.1016/j.ejor.2024.09.032
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