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An SMDP model for a multiclass multi-server queueing controlproblem considering conversion times

Published online by Cambridge University Press:  11 July 2014

Zhicong Zhang ,
Na Li ,
Shuai Li ,
Xiaohui Yan  and
Jianwen Guo
Zhicong Zhang
Affiliation:
Department of Industrial Engineering, School of Mechanical Engineering, Dongguan University of Technology, Songshan Lake District, Dongguan 523808, Guangdong Province, China. . stephen1998@gmail.com; yanxh@dgut.edu.cn; lishuai@dgut.edu.cn
Na Li
Affiliation:
Department of Industrial Engineering, Shanghai Jiao Tong University, Shanghai 200240, P.R. China.; na-li03@sjtu.edu.cn
Shuai Li
Affiliation:
Department of Industrial Engineering, School of Mechanical Engineering, Dongguan University of Technology, Songshan Lake District, Dongguan 523808, Guangdong Province, China. . stephen1998@gmail.com; yanxh@dgut.edu.cn; lishuai@dgut.edu.cn
Xiaohui Yan
Affiliation:
Department of Industrial Engineering, School of Mechanical Engineering, Dongguan University of Technology, Songshan Lake District, Dongguan 523808, Guangdong Province, China. . stephen1998@gmail.com; yanxh@dgut.edu.cn; lishuai@dgut.edu.cn
Jianwen Guo
Affiliation:
School of Mechanical Engineering, Dongguan University of Technology, Songshan Lake District, Dongguan 523808, Guangdong Province, P.R. China. ; guojw@dgut.edu.cn
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Abstract

We address a queueing control problem considering service times and conversion timesfollowing normal distributions. We formulate the multi-server queueing control problem byconstructing a semi-Markov decision process (SMDP) model. The mechanism of statetransitions is developed through mathematical derivation of the transition probabilitiesand transition times. We also study the property of the queueing control system and showthat optimizing the objective function of the addressed queueing control problem isequivalent to maximizing the time-average reward.

Keywords

Queueing controlsemi-Markov decision processreward
Type
Research Article
Information
RAIRO - Operations Research , Volume 48 , Issue 4 , October 2014 , pp. 615 - 639
Copyright
© EDP Sciences, ROADEF, SMAI 2014

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