%0 Journal Article %T Optimization of M G 1 Queue with Vacation (TECHNICAL NOTE) %J International Journal of Engineering %I Materials and Energy Research Center %Z 1025-2495 %A Jain, Madhu %A Ghimire, R. P. %D 2002 %\ 06/01/2002 %V 15 %N 2 %P 157-160 %! Optimization of M G 1 Queue with Vacation (TECHNICAL NOTE) %K M/G/1 Queue %K optimization %K Average Waiting Time %K Kuhn %K Tuker Condition %K Vacation %K Limited/Unlimited Partially Gated %R %X This paper reports on the minimization of the average waiting time of the customers in the M/G/1 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/1 and M/D/1 models with and without vacation have also been discussed. %U https://www.ije.ir/article_71354_6acfda37214a57ebec7dd8eb7dbcbf23.pdf