Optimal Interval for Stochastic Clearing Systems
نویسندگان
چکیده
OPTIMAL INTERVAL FOR STOCHASTIC CLEARING SYSTEMS Shoichi Nishimura University of Tsukuba (Received March 8, 1978; Revised September 8, 1978) Stochastic clearing systems can be applied to bulk-service queue and demand-responsive public-service systems. Customers (input) arrive at a service facility and form a queue waiting to be served. When a server arrives at a service facility, waiting customers are served all together. The problem is to obtain an optimal clearing random interval T which minimizes the long-run average cost. In this paper we derive an optimal clearing random interval T and sufficient conditions under where T is characterized by optimal clearing level q, at which clearing occurs, whenever the cumulative input exceeds a criticalleve!.
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