A Bicriteria Approach for Single Machine Scheduling with Resource Allocation, Learning Effect and a Deteriorating Maintenance Activity

A Bicriteria Approach for Single Machine Scheduling with Resource Allocation, Learning Effect and a Deteriorating Maintenance Activity
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考虑资源分配、学习效果和恶化维护活动的单机调度双标准方法

DOI:
10.1142/s0217595917500117
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发表时间:
2017-08
影响因子:
1.4
通讯作者:
Lu Yuan-Yuan
Lu Yuan-Yuan
中科院分区:
管理学4区
文献类型:
--
作者:
Liu Zhusong;Wang Zhenyou;Lu Yuan-Yuan

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本文研究同时考虑学习效应、资源分配和维修活动恶化的单机排序问题。对于凸的资源分配消耗函数,我们提供了一个双准则分析,其中第一个(时间表)标准是最小化总的加权总和的完工时间,总完工时间和总的绝对差异的完成时间,和第二个(资源)标准是最小化总加权资源消耗。我们的目标是找到最优的资源分配和作业序列,使最小化的三个不同的模型,考虑这两个标准。我们证明了这三个模型分别是多项式可解的。
This paper considers the single machine scheduling with learning effect, resource allocation and deteriorating maintenance activity simultaneously. For the convex resource allocation consumption function, we provide a bicriteria analysis where the first (schedule) criterion is to minimize the total weighted sum of makespan, total completion time and total absolute differences in completion times, and the second (resource) criterion is to minimize the total weighted resource consumption. Our aim is to find the optimal resource allocations and job sequence that minimize the three different models of considering the two criterion. We show that these three models are polynomially solvable respectively.
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