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On-line Access: 2010-12-09

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


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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%T A study of optimal switching problem in limited-cycle with multiple periods
%A Jing Sun
%A Hisashi Yamamoto
%A Masayuki Matsui
%J Journal of Zhejiang University SCIENCE A
%V 11
%N 12
%P 933-937
%@ 1673-565X
%D 2010
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1001062

T1 - A study of optimal switching problem in limited-cycle with multiple periods
A1 - Jing Sun
A1 - Hisashi Yamamoto
A1 - Masayuki Matsui
J0 - Journal of Zhejiang University Science A
VL - 11
IS - 12
SP - 933
EP - 937
%@ 1673-565X
Y1 - 2010
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1001062

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


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