Abstract
We consider the control of an infinite capacity shuttle which transports passengers between two terminals. The passengers arrive at each terminal according to a compound Poisson process and the travel time from one terminal to the other is a random variable following an arbitrary distribution. The following control limit policy is considered: dispatch the shuttle at terminali, at the instant that the total number of passengers waiting at terminali reaches or exceeds a predetermined control limitm i . The objective of this paper is to obtain the mean waiting time of an arbitrary passenger at each terminal for given control valuesm 1 andm 2. We also discuss a search procedure to obtain the optimal control values which minimize the total expected cost per unit time under a linear cost structure.
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Lee, HS., Srinivasan, M.M. The shuttle dispatch problem with compound Poisson arrivals: Controls at two terminals. Queueing Syst 6, 207–221 (1990). https://doi.org/10.1007/BF02411474
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DOI: https://doi.org/10.1007/BF02411474