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Scheduling jobs with normally distributed processing times on parallel machines

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  • Novak, Antonin
  • Sucha, Premysl
  • Novotny, Matej
  • Stec, Richard
  • Hanzalek, Zdenek

Abstract

We consider a stochastic parallel machine scheduling problem, where the jobs have uncertain processing time described by a normal probability distribution. The objective is to maximize the probability that all the jobs are completed before a common due date. The considered problem has many practical applications, but it is notoriously known to be difficult as it involves several non-linearities which complicates its analysis and solution.

Suggested Citation

  • Novak, Antonin & Sucha, Premysl & Novotny, Matej & Stec, Richard & Hanzalek, Zdenek, 2022. "Scheduling jobs with normally distributed processing times on parallel machines," European Journal of Operational Research, Elsevier, vol. 297(2), pages 422-441.
    • Handle: RePEc:eee:ejores:v:297:y:2022:i:2:p:422-441
    DOI: 10.1016/j.ejor.2021.05.011
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    1. Tugba Saraç & Feristah Ozcelik & Mehmet Ertem, 2023. "Unrelated parallel machine scheduling problem with stochastic sequence dependent setup times," Operational Research, Springer, vol. 23(3), pages 1-19, September.

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