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Two branch-and-bound algorithms for the robust parallel machine scheduling problem
DOI:10.1016/j.cor.2011.09.019.png)
摘要
En 中文
Uncertainty is an inevitable element in many practical production planning and scheduling environments. When a due date is predetermined for performing a set of jobs for a customer, production managers are often concerned with establishing a schedule with the highest possible confidence of meeting the due date. In this paper, we study the problem of scheduling a given number of jobs on a specified number of identical parallel machines when the processing time of each job is stochastic. Our goal is to find a robust schedule that maximizes the customer service level, which is the probability of the makespan not exceeding the due date. We develop two branch-and-bound algorithms for finding an optimal solution: the two algorithms differ mainly in their branching scheme. We generate a set of benchmark instances and compare the performance of the algorithms based on this dataset. (C) 2011 Elsevier Ltd. All rights reserved.
Keyword:
Robust scheduling
Identical parallel machines
Stochastic processing times
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C
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4.3
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6.5K
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A column generation based decomposition algorithm for a parallel machine just-in-time scheduling problem基于列生成的并行机实时调度分解算法

