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Optimal management for a finite M/M/R queueing system with two arrival modes

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Abstract

We consider an M/M/R queueing system with finite capacity N, where customers have two arrival modes under steady-state conditions. It is assumed that each arrival mode is serviced by one or more servers, and that the two arrival modes have equal probabilities of receiving service. Arrival times of the customers and service times of the severs follow an exponential distribution. A cost model is developed to determine the optimal number of servers and the optimal system capacity. The minimum expected cost, the optimal number of servers, the optimal system capacity, and various system characteristics are obtained for some designated system parameters’ values. Sensitivity for the minimal cost is also investigated.

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Authors and Affiliations

  1. Department of Applied Mathematics, National Chung-Hsing University, Taichung, Taiwan, 402, Republic of China

    Kuo-Hsiung Wang & Jyh-Bin Ke

  2. Department of Industrial Engineering and Management, National Chiao Tung University, Hsinchu, Taiwan, Republic of China

    W. L. Pearn

Authors
  1. Kuo-Hsiung Wang
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  2. Jyh-Bin Ke
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  3. W. L. Pearn
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Correspondence to Kuo-Hsiung Wang.

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Wang, KH., Ke, JB. & Pearn, W.L. Optimal management for a finite M/M/R queueing system with two arrival modes. Int J Adv Manuf Technol 33, 42–47 (2007). https://doi.org/10.1007/s00170-006-0450-5

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  • DOI: https://doi.org/10.1007/s00170-006-0450-5

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