Using Local Search Methods for Solving Two Multi-Criteria Machine Scheduling Problems

Safanah Faisal Yousif, F. Ali, Karrar Fatah Alshaikhli
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Abstract

In this paper, we have improved solutions for two of the Multi-Criteria Machine Scheduling Problems (MCMSP). These problems are to maximize early jobs time and range of lateness jobs times (1//(E_max,R_L ), and the second problem is maximum tardy jobs time and range of lateness jobs times (1//(T_max,R_L ) in a single machine with Multi-Objective Machine Scheduling Problems (MOMSP) 1//(E_max+R_L )  and 1//(T_max+R_L ) which are derived from the main problems respectively. The Local Search Methods (LSMs), Bees Algorithm (BA), and a Simulated Annealing (SA) are applied to solve all suggested problems. Finally, the experimental results of the LSMs are compared with the results of the Branch and Bound (BAB) method for a reasonable time. These results are ensuring the efficiency of LSMs.
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使用局部搜索方法解决两个多标准机器调度问题
本文改进了两个多标准机器调度问题(MCMSP)的解决方案。这两个问题分别是使提前作业时间和延迟作业时间范围最大化(1/(E_max,R_L )),第二个问题是在单台机器上使延迟作业时间和延迟作业时间范围最大化(1/(T_max,R_L )),多目标机器调度问题(MOMSP)1/(E_max+R_L )和1/(T_max+R_L ),它们分别由主问题衍生而来。应用局部搜索法(LSM)、蜜蜂算法(BA)和模拟退火法(SA)来解决所有建议的问题。最后,将局部搜索法的实验结果与分支与边界法(BAB)的结果进行了合理的时间比较。这些结果确保了 LSM 的效率。
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