具有不耐烦顾客和N策略的M/Hk/1排队系统的优化控制

Journal of Jilin University Science Edition

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Optimal Control of an M/Hk/1 Queueing Systemwith Impatient Customer and NPolicy

CHEN Gang, LIU Zaiming, WU Jinbiao

School of Mathematics and Statistics, Central South University, Changsha 410083, China

Received:2014-06-23 Online:2015-07-26 Published:2015-07-27
Contact: LIU Zaiming E-mail:math_lzm@csu.edu.cn

Abstract

Abstract:

Based on the renewal theory and PGF techniques, the problem about optimal control of an M/Hk/1 queueing system with impatient customer and N policy was studied. We obtained the PGF of the queue length and the expected waiting time. The solution of the optimal parameter is analyzed. This system is helpful to solving the more complex optimal management problem.

Key words: Markov process, optimal control, k-type hyperexponential, queue, impatient customer

CLC Number:

O226

CHEN Gang, LIU Zaiming, WU Jinbiao. Optimal Control of an M/Hk/1 Queueing Systemwith Impatient Customer and NPolicy[J].Journal of Jilin University Science Edition, 2015, 53(04): 658-664.

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Optimal Control of an M/Hk/1 Queueing Systemwith Impatient Customer and NPolicy

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