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Customers arrive at a bus depot according to a Poisson process with rate lambda . The dispatcher sends for a bus when there are N

Customers arrive at a bus depot according to a Poisson process with rate \lambda . The dispatcher sends for a bus when there are N customers waiting at the station. It takes M units of time for a bus to arrive at the depot. When it arrives, the bus pick up all waiting customers. Assuming that the depot incurs a cost of nc per unit time whenever there are n customers present, find the long-run average cost.

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