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Hybrid Flow Shop with Parallel Machines at the First Stage and Dedicated Machines at the Second Stage
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 Title & Authors
Hybrid Flow Shop with Parallel Machines at the First Stage and Dedicated Machines at the Second Stage
Yang, Jaehwan;
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 Abstract
In this paper, a two-stage hybrid flow shop problem is considered. Specifically, there exist identical parallel machines at stage 1 and two dedicated machines at stage 2, and the objective of the problem is to minimize makespan. After being processed by any machine at stage 1, a job must be processed by a specific machine at stage 2 depending on the job type, and one type of jobs can have different processing times on each machine. First, we introduce the problem and establish complexity of several variations of the problem. For some special cases, we develop optimal polynomial time solution procedures. Then, we establish some simple lower bounds for the problem. In order to solve this NP-hard problem, three heuristics based on simple rules such as the Johnson's rule and the LPT (Longest Processing Time first) rule are developed. For each of the heuristics, we provide some theoretical analysis and find some worst case bound on relative error. Finally, we empirically evaluate the heuristics.
 Keywords
Two-Stage Hybrid Flow Shop;Computational Complexity;Heuristic;Worst Case Bound on Relative Error;
 Language
English
 Cited by
1.
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2.
A Special Case of Three Machine Flow Shop Scheduling, Industrial Engineering and Management Systems, 2016, 15, 1, 32  crossref(new windwow)
3.
Iterative algorithms for batching and scheduling to minimise the total job tardiness in two-stage hybrid flow shops, International Journal of Production Research, 2017, 55, 11, 3266  crossref(new windwow)
4.
Priority scheduling to minimize the total tardiness for remanufacturing systems with flow-shop-type reprocessing lines, The International Journal of Advanced Manufacturing Technology, 2017, 91, 9-12, 3697  crossref(new windwow)
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