Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Optimal Service Capacities in a Competitive Multiple-Server Queueing Environment

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_5,
        author={Wai-Ki Ching and Sin-Man Choi and Min Huang},
        title={Optimal Service Capacities in a Competitive Multiple-Server Queueing Environment},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={Markovian Queueing Systems 
                    -server Queue Nash Equilibrium Competition},
        doi={10.1007/978-3-642-02466-5_5}
    }
    
  • Wai-Ki Ching
    Sin-Man Choi
    Min Huang
    Year: 2012
    Optimal Service Capacities in a Competitive Multiple-Server Queueing Environment
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_5
Wai-Ki Ching1,*, Sin-Man Choi1,*, Min Huang,*
  • 1: The University of Hong Kong
*Contact email: wching@hkusua.hku.hk, kellyci@hkusua.hku.hk, mhuang@mail.neu.edu.cn

Abstract

The study of economic behavior of service providers in a competition environment is an important and interesting research issue. A two-server queueing model has been proposed in Kalai et al. [11] for this purpose. Their model aims at studying the role and impact of service capacity in capturing larger market share so as to maximize the long-run expected profit. They formulate the problem as a two-person strategic game and analyze the equilibrium solutions. The main aim of this paper is to extend the results of the two-server queueing model in [11] to the case of multiple servers. We will only focus on the case when the queueing system is stable.