[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7232/iems.2016.15.1.032

A Special Case of Three Machine Flow Shop Scheduling

Yang, Jaehwan (Department of Business Administration, University of Seoul)

Publication Information

Industrial Engineering and Management Systems / v.15, no.1, 2016 , pp. 32-40 More about this Journal

Abstract

This paper considers a special case of a three machine flow shop scheduling problem in which operation processing time of each job is ordered such that machine 1 has the longest processing time, whereas machine 3, the shortest processing time. The objective of the problem is the minimization of the total completion time. Although the problem is simple, its complexity is yet to be established to our best knowledge. This paper first introduces the problem and presents some optimal properties of the problem. Then, it establishes several special cases in which a polynomial-time optimal solution procedure can be found. In addition, the paper proves that the recognition version of the problem is at least binary NP-complete. The complexity of the problem has been open despite its simple structure and this paper finally establishes its complexity. Finally, a simple and intuitive heuristic is developed and the tight worst case bound on relative error of 6/5 is established.

Keywords

Three Machine Flow Shop; Computational Complexity; Total Completion Time;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

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