Optimization of M G ۱ Queue with Vacation (TECHNICAL NOTE)

This paper reports on the minimization of the average waiting time of the customers in the M/G/۱ queue with vacation. Explicit formula for the unknown service parameter of a particular customer has been obtained by considering the exhaustive service discipline in the case of multi-user with unlimited service system. Moreover, results in case of partially gated and gated service disciplines under limited/unlimited service systems have been provided. Some particular cases such as M/M/۱ and M/D/۱ models with and without vacation have also been discussed.

کلیدواژه ها:

M/G/۱ Queue ، optimization ، Average Waiting Time ، Kuhn ، Tuker Condition ، Vacation ، Limited/Unlimited Partially Gated