ON PARETO SET FOR A BI-CRITERIA SINGLE MACHINE SCHEDULING PROBLEM

Authors

  • Rzgar F. Mahmood
  • Ayad Mohammed Ramadan
  • Mediya B. Mrakhan
  • Nasyar Hussein Qader4

DOI:

https://doi.org/10.25130/tjps.v27i6.764

Abstract

This paper considers a bi-criteria planning problems on a single machine, with the goal of minimizing total square time duration and maximizing earliness. To solve this problem we have to find the Pareto set. We introduced a strong relation between lower bound, upper bound  of the problem and the number of efficient solutions via a theorem which shows also that the lower bound is near to optimal solution if the number of efficient solutions is small.

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Published

2023-01-29

How to Cite

Rzgar F. Mahmood, Ayad Mohammed Ramadan, Mediya B. Mrakhan, & Nasyar Hussein Qader4. (2023). ON PARETO SET FOR A BI-CRITERIA SINGLE MACHINE SCHEDULING PROBLEM. Tikrit Journal of Pure Science, 27(6), 88–91. https://doi.org/10.25130/tjps.v27i6.764

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