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An Optimal Wait Policy In Two Discrete Time Queueing Systems

In: Recent Advances In Stochastic Operations Research II

Author

Listed:
  • JUNJI KOYANAGI

    (Department of Social Systems Engineering, Faculty of Engineering, Tottori University, 4-101 Koyama Minami, Tottori, 680-8552, Japan)

  • DAISUKE NANBA

    (Department of Social Systems Engineering, Faculty of Engineering, Tottori University, 4-101 Koyama Minami, Tottori, 680-8552, Japan)

  • HAJIME KAWAI

    (Department of Social Systems Engineering, Faculty of Engineering, Tottori University, 4-101 Koyama Minami, Tottori, 680-8552, Japan)

Abstract

A system with two discrete time queues is considered. Normal customers arrive at each queue and depart after being served; they cannot choose which queue they join. We consider one special customer who can choose the queue he joins. He also has other options ‘wait’ and ‘leave’. Option ‘wait’ means that he defers the decision which queue he joins, and option ‘leave’ means that he leaves the system without being served. If he chooses to join the queue, he stays in the queue until he is served and cost per unit time is incurred corresponding to queueing. Cost for ‘wait’ is smaller than the waiting cost in the queue. If he chooses to ‘leave’, cost for ‘leave’ is incurred and no cost is incurred after that. Our objective is to minimize the total expected cost until he is served or he chooses to ‘leave’.

Suggested Citation

  • Junji Koyanagi & Daisuke Nanba & Hajime Kawai, 2009. "An Optimal Wait Policy In Two Discrete Time Queueing Systems," World Scientific Book Chapters, in: Tadashi Dohi & Shunji Osaki & Katsushige Sawaki (ed.), Recent Advances In Stochastic Operations Research II, chapter 6, pages 69-77, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789812791672_0006
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