In Example 36(C) suppose that the renewal process of arrivals is a Poisson process with mean Let

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In Example 36(C) suppose that the renewal process of arrivals is a Poisson process with mean Let N* denote that value of N that mini- mizes the long-run average cost if a train leaves whenever there are N travelers waiting Another type of policy is to have a train depart every T time units Compute the long-run average cost under this policy and let 7* denote the value of 7 that minimizes it. Show that the policy that departs whenever N* travelers are waiting leads to a smaller average cost than the one that departs every 7* time units.

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Stochastic Processes

ISBN: 9780471120629

2nd Edition

Authors: Sheldon M. Ross

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