Common due date assignment scheduling for a no-wait flowshop with convex resource allocation and learning effect

Common due date assignment scheduling for a no-wait flowshop with convex resource allocation and learning effect
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具有凸资源分配和学习效果的无等待流程的通用到期日分配调度

DOI:
10.1080/0305215x.2018.1521397
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发表时间:
2018-10
影响因子:
2.7
通讯作者:
Bai Danyu
Bai Danyu
中科院分区:
工程技术3区
文献类型:
--
作者:
Geng Xin-Na;Wang Ji-Bo;Bai Danyu

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摘要:本文研究了同时考虑共同到期日分配、凸资源分配和学习效应的双机环境下无等待流水车间调度问题。每个作业的处理时间可以通过其在序列中的位置来控制,也可以通过分配额外的资源来控制,额外的资源是分配给作业的公共连续可分资源量的凸函数。目标是在总资源消耗成本(总提前、延迟和共同到期日成本)有限的约束条件下,确定最优的共同到期日、资源分配和作业进度,使总提前、延迟和共同到期日成本(总资源消耗成本)最小。针对该问题的两个版本,开发了多项式时间算法。
ABSTRACT This article addresses the no-wait flowshop scheduling problem with simultaneous consideration of common due date assignment, convex resource allocation and learning effect in a two machine setting. The processing time of each job can be controlled by its position in a sequence and also by allocating extra resource, which is a convex function of the amount of a common continuously divisible resource allocated to the job. The objective is to determine the optimal common due date, the resource allocation and the schedule of jobs such that the total earliness, tardiness and common due date cost (the total resource consumption cost) are minimized under the constraint condition that the total resource consumption cost (the total earliness, tardiness and common due date cost) is limited. Polynomial time algorithms are developed for two versions of the problem.
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