CONTROLLING ARRIVALS FOR A MARKOVIAN QUEUEING SYSTEM WITH A SECOND OPTIONAL SERVICE

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 frequent issue of controlling arrival to a queueing system and its required startup time before allowing customers to enter the system. This system has potential applications in the wireless communication networks, the transport service and production 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.