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Waiting Time Ofm/D1,∞/1queue

Author

Listed:
  • WOOJIN CHANG

    (Department of Industrial Engineering, Seoul National University, San 56-1, Sillim-Dong, Kwanak-Ku, Seoul 151-742, Republic of Korea)

Abstract

In this paper, we consider a single-server infinite capacity queue with Poisson arrival. The server takes all waiting customers as a batch into service, and the service time of thekth customer in a batch isa + b × k, whereaandbare the set-up time and the individual service time for each customer, respectively. The steady-state mean and variance of waiting time of an arbitrary customer are obtained. Simulation results confirm our analysis.

Suggested Citation

  • Woojin Chang, 2007. "Waiting Time Ofm/D1,∞/1queue," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 383-399.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:03:n:s0217595907001322
    DOI: 10.1142/S0217595907001322
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