AN OPTIMAL WAIT POLICY IN TWO DISCRETE TIME QUEUEING SYSTEMS

Junji Koyanagi, Daisuke Nanba and Hajime Kawai
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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

Chapter 6 in Recent Advances in Stochastic Operations Research II, 2009, pp 69-77 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractA 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’.

Keywords: Operations Research; Uncertainty; Applied Probability; Stochastic Process; Optimization; Decision Science (search for similar items in EconPapers)
Date: 2009
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