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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/4693

Title: A Heuristic Algorithm for One-Machine Just-In-Time Scheduling Problem with Periodic Time Slots
Authors: CHIBA, Eishi
HIRAISHI, Kunihiko
Keywords: scheduling
set-up times
heuristic algorithm
minimum cost flow
Issue Date: 2005-05-01
Publisher: 電子情報通信学会
Magazine name: IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Volume: E88-A
Number: 5
Start page: 1192
End page: 1199
DOI: 10.1093/ietfec/e88-a.5.1192
Abstract: Just-in-time scheduling problem is the problem of finding an optimal schedule such that each job finishes exactly at its due date. We study the problem under a realistic assumption called periodic time slots. In this paper, we prove that this problem cannot be approximated, assuming P≠NP. Next, we present a heuristic algorithm, assuming that the number of machines is one. The key idea is a reduction of the problem to a network flow problem. The heuristic algorithm is fast because its main part consists of computation of the minimum cost flow that dominates the total time. Our algorithm is O(n3) in the worst case, where n is the number of jobs. Next, we show some simulation results. Finally, we show cases in which our algorithm returns an optimal schedule and is a factor 1.5 approximation algorithm, respectively, and also give an approximation ratio depending on the upper bound of set-up times.
Rights: Copyright (C)2005 IEICE. E. Chiba, K. Hiraishi, IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences, E88-A(5), 2005, 1192-1199. http://www.ieice.org/jpn/trans_online/
URI: http://hdl.handle.net/10119/4693
Material Type: publisher
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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