Minimizing the loss probability in GI/M/3/0 queueing system with ordered entry

Scientific Research and Essays

H. Okan Isguder¹ 

关键词:  ;    Deterministic distribution;    heterogeneous servers;    loss probability;    Laplace-Stieltjes transform;    semi-Markov process.;   

DOI  :  10.5897/SRE11.1979

学科分类：社会科学、人文和艺术（综合）

来源: Academic Journals

【 摘 要 】

This study analyzed thequeueingmodel with finite capacity, heterogeneous servers and ordered entry using the method of semi-Markov process. In this system, the customer, who arrives in the system, enters the server with the lowest index among the free servers. If all servers are busy, he leaves the system without receiving any service. Such customers are termed ‘lost customers’. The probability of lost customers in the queueing system under examination was computed. Furthermore, by using inequalityobtained from the Jensen’s inequality, it was shown that the loss probability was minimum when interarrival times fit the deterministic distribution.

【 授权许可】

CC BY