Suppose in Example 7.15 that the arrival process is a Poisson process and suppose that the policy

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Suppose in Example 7.15 that the arrival process is a Poisson process and suppose that the policy employed is to dispatch the train every t time units.

(a) Determine the average cost per unit time.

(b) Show that the minimal average cost per unit time for such a policy is approximately c/2 plus the average cost per unit time for the best policy of the type considered in that example.

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