SpringerIranian Journal of Science and Technology (Sciences)1028-627631220070811MINIMIZING LOSS PROBABILITY IN QUEUING SYSTEMS WITH HETEROGENEOUS SERVERS199206233010.22099/ijsts.2007.2330ENV.SAGLAMDepartment of Statistic, Faculty of Arts and Sciences, Ondokuz
Mayis University, Kurupelit, 55139-Samsun, Turkey,A.SHAHBAZOVDepartment of Statistic, Faculty of Arts and Sciences, Ondokuz
Mayis University, Kurupelit, 55139-Samsun, TurkeyJournal Article20050327The probability of losing a customer in M/G/n/0 and GI/M/n/0 loss queuing systems with<br />heterogeneous servers is minimized. The first system uses a queue discipline in which a customer who arrives<br />when there are free servers chooses any one of them with equal probability, but is lost otherwise. Provided<br />that the sum of the servers rates are fixed, loss probability in this system attains minimum value when all the<br />service rates are equal. The second system uses queue discipline, in which a customer who enters into the<br />system is assigned to the server with the lowest number. Loss probability in this system takes the minimum<br />value in the case when the fastest server rule is used in which an incoming customer is served by the free<br />server with the shortest mean service time. If the mean of the arrival distribution is fixed, then loss probability<br />is minimized by deterministic arrival distributionhttp://ijsts.shirazu.ac.ir/article_2330_6901ed3bf3527b64512d59331e0f5239.pdf