Controlling arrivals for a queueing system with second optional service

摘要

This paper considers the optimal management problem of a finite capacity M/M/1 queueing system with F-policy in which some customers may demand a second service in addition to the first essential service. The F-policy investigates the most common issue of controlling arrival to a queueing system and it is required a startup time before starting to allow customers entering into the system. By applying the birth and death process, some important performance measures are derived. A cost model, developed to determine the optimal control F-policy at a minimum cost, and sensitivity analysis are also studied.