TY - JOUR ID - 71354 TI - Optimization of M G 1 Queue with Vacation (TECHNICAL NOTE) JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Jain, Madhu AU - Ghimire, R. P. AD - Department Of Mathematics, IIT Roorkee,Roorkee,India AD - , S. N. Multiple Campus Y1 - 2002 PY - 2002 VL - 15 IS - 2 SP - 157 EP - 160 KW - M/G/1 Queue KW - optimization KW - Average Waiting Time KW - Kuhn KW - Tuker Condition KW - Vacation KW - Limited/Unlimited Partially Gated DO - N2 - 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. UR - https://www.ije.ir/article_71354.html L1 - https://www.ije.ir/article_71354_6acfda37214a57ebec7dd8eb7dbcbf23.pdf ER -