RandomN-Policy Geo/G/1 Queue with Startup and Closedown Times

[摘要] This study investigates a randomN-policy Geo/G/1 queue with startup and closedown times.Nis newly determined every time a new cycle begins. When randomNcustomers are accumulated, the server is immediately turned on but is temporarily unavailable to the waiting customers. It needs a startup time before starting providing service. After all customers in the system are served exhaustively, the server is shut down by a closedown time. Using the generating function and supplementary variable technique, analytic solutions of system size, lengths of state periods, and sojourn time are derived.

[学科分类] 应用数学