Rescheduling Rework Jobs on Single Machine locked by initial loads

Ya Guo, Min Huang, Qing Wang
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引用次数: 2

Abstract

In this paper, the problem of Rescheduling Rework Jobs on Single Machine (RRJSM) is investigated. Suppose that a single machine has a set of the initial loads locked for some desired purposes. The objective of RRJSM is to minimize the maximum waiting time of rework jobs by scheduling or inserting them into the locked initial loads. Firstly, the RRJSM problem is formulated and proved to be NP-hard as for computational complexity. Secondly, two properties of RRJSM problem are addressed. Furthermore, a heuristic algorithm is designed basing on the properties and its complexity is given as well. Finally, the optimality condition of the algorithm and the judgment of optimal solution are given and proved respectively.
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在被初始负载锁定的单机上重新调度返工作业
研究了单机返工作业的重调度问题。假设一台机器有一组锁定的初始负载,用于某些期望的目的。RRJSM的目标是通过调度或将返工作业插入锁定的初始负载来最小化返工作业的最大等待时间。首先,提出了RRJSM问题,并证明了该问题在计算复杂度上是np困难的。其次,分析了RRJSM问题的两个性质。在此基础上设计了一种启发式算法,并给出了算法的复杂度。最后分别给出了算法的最优性条件和最优解的判断,并给出了证明。
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