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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
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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


[1]Benders, J., 2002. The origin of period batch control (PBC). International Journal of Production Research, 40(1):1-6.

[2]Bergamashi, D., Cigolin, R., Perona, M., Portioli, A., 1997. Order review and release strategies in job shop environment: a review and a classification. International Journal of Production Research, 35(2):399-420.

[3]Matsui, M., 2004. MGM-modeling and Balancing Problem in Supply Chain Management. Proceedings of APIEMS, Gold Cost, Australia.

[4]Matsui, M., 2005. A management cycle model: switching control under lot processing and time span. Journal of Japan Industrial Management Association, 56(4):256-264.

[5]Matsui, M., 2008. Manufacturing and Service Enterprise with Risk: A Stochastic Management Approach. Springer.

[6]Matsui, M., Shingu, T., Makabe, H., 1977. Conveyor-serviced Production System: an Analytic Framework for Station- Centered Approach by Some Queueing Formulas. Preliminary Report of the Operations Research Society of Japan, p.104-107 (in Japanese).

[7]Swamidass, P.M., 2000. Encyclopedia of Production and Manufacturing Management. Kluwer Academic Press, Boston, MA, USA.

[8]Verzijl, J.J., 1976. Production Planning and Information Systems. Macmillan Publishing Co., London, p.16-17.

[9]Week, J.K., 1979. Optimizing Planned Lead Times and Delivery Dates. Proceedings of 21st Annual Conference of American Production and Inventory Control Society (APICS), p.177-188.

[10]Wight, O.W., 1974. Production and Inventory Management in the Computer Age. Cahners Publishing Co., Boston, MA, USA.

[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).

[12]Yamamoto, H., Matsui, M., Bai, X.S., 2007. A branch and bound method for the optimal assignment during a limit-cycle problem with multiple periods. Journal of Japan Industrial Management Association, 58(1):37-43 (in Japanese).

[13]Yamamoto, H., Sun, J., Matsui, M., 2010. A study on limited-cycle scheduling problem with multiple periods. Computers & Industrial Engineering, 59(4):675-681.

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