Scheduling jobs with controllable processing time, truncated job-dependent learning and deterioration effects

Scheduling jobs with controllable processing time, truncated job-dependent learning and deterioration effects
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以可控的处理时间、截断的依赖于工作的学习和退化效应来安排工作

DOI:
10.3934/jimo.2016060
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发表时间:
2016-10
影响因子:
1.3
通讯作者:
Ping Ji
Ping Ji
中科院分区:
工程技术4区
文献类型:
--
作者:
Ji-Bo Wang;Mengqi Liu;Na Yin;Ping Ji

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本文研究了加工时间(资源分配)可控、学习依赖于作业且具有退化效应的单机排序问题。目标是分别寻找最优作业顺序和最优资源分配,以最小化包含完工时间(总完工时间、完工时间的总绝对差)和/或总资源成本的成本函数。对于两个不同的加工时间函数,即分配给作业的公共连续可分资源量的线性函数和凸函数,我们分别在多项式时间内求解。
In this paper, we consider single machine scheduling problems with controllable processing time (resource allocation), truncated job-dependent learning and deterioration effects. The goal is to find the optimal sequence of jobs and the optimal resource allocation separately for minimizing a cost function containing makespan (total completion time, total absolute differences in completion times) and/or total resource cost. For two different processing time functions, i.e., a linear and a convex function of the amount of a common continuously divisible resource allocated to the job, we solve them in polynomial time respectively.
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