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On-line Access: 2010-12-09

Received: 2010-10-28

Revision Accepted: 2010-10-29

Crosschecked: 2010-10-29

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Journal of Zhejiang University SCIENCE A 2010 Vol.11 No.12 P.933-937

http://doi.org/10.1631/jzus.A1001062


A study of optimal switching problem in limited-cycle with multiple periods


Author(s):  Jing Sun, Hisashi Yamamoto, Masayuki Matsui

Affiliation(s):  Graduate School of Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, Aichi 466-8555, Japan, Department of System Design, Management Systems Engineering, Tokyo Metropolitan University, 6-6 Asahigaoka, Hino, Tokyo 191-0065, Japan, Department of Informatics, Graduate School of Informatics and Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan

Corresponding email(s):   sun.jing@nitech.ac.jp, yamamoto@cc.tmit.ac.jp, matsui@se.uec.ac.jp

Key Words:  Limited-cycle problem, Multi-period, Optimal switching period, Production seat system, Manufacturing line


Jing Sun, Hisashi Yamamoto, Masayuki Matsui. A study of optimal switching problem in limited-cycle with multiple periods[J]. Journal of Zhejiang University Science A, 2010, 11(12): 933-937.

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journal="Journal of Zhejiang University Science A",
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pages="933-937",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1001062"
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%T A study of optimal switching problem in limited-cycle with multiple periods
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%A Masayuki Matsui
%J Journal of Zhejiang University SCIENCE A
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%DOI 10.1631/jzus.A1001062

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T1 - A study of optimal switching problem in limited-cycle with multiple periods
A1 - Jing Sun
A1 - Hisashi Yamamoto
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1001062


Abstract: 
In a social system or production line, the restrictions of the cost and the due-time exist in each period. Generally, whether these restrictions are satisfied is dependent not only on the risks of this period, but also on the risks generated beforehand. We consider controlling the production process by switching the processing rate to a faster one at a given period. This paper deals with the optimal switching period to minimize the total expected cost of the production process. We first propose the optimal switching period model, and then the mathematic formulation of the total expectation is presented. Finally, the policy of optimal switching period is investigated in detail by numerical experiments.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[11]Yamamoto, H., Matsui, M., Liu, J., 2006. A basic study on a limited-cycle problem with multi periods and the optimal assignment problem. Journal of Japan Industrial Management Association, 57(1):23-31 (in Japanese).

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