Poisson input queueing system with startup time and under control-operating policy
Computers and Operations Research
An M/G/1 queue with second optional service
Queueing Systems: Theory and Applications
A Single Server Poisson Input Queue with a Second Optional Channel
Queueing Systems: Theory and Applications
The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns
Computers and Industrial Engineering
Randomized control of T-policy for an M/G/1 system
Computers and Industrial Engineering
A discrete-time Geo/G/1 retrial queue with starting failures and second optional service
Computers & Mathematics with Applications
An M/G/1 queue with second optional service and server breakdowns
Computers & Mathematics with Applications
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We analyze a single removable and unreliable server in an M/G/1 queueing system operating under the -policy. As soon as the system size is greater than N, turn the server on with probability p and leave the server off with probability (1-p). All arriving customers demand the first essential service, where only some of them demand the second optional service. He needs a startup time before providing first essential service until there are no customers in the system. The server is subject to break down according to a Poisson process and his repair time obeys a general distribution. In this queueing system, the steady-state probabilities cannot be derived explicitly. Thus, we employ an improved maximum entropy method with several well-known constraints to estimate the probability distributions of system size and the expected waiting time in the system. By a comparative analysis between the exact and approximate results, we may demonstrate that the improved maximum entropy method is accurate enough for practical purpose, and it is a useful method for solving complex queueing systems.