Performance and economic analysis of Markovian Bernoulli feedback queueing system with vacations, waiting server and impatient customers

Acta Universitatis Sapientiae. Matematica

A. A. Bouchentouf¹ 

关键词: Markovian queueing models;    vacations;    impatience;    Bernoulli;    feedback;    waiting server;    probability generating function;    cost model;   

DOI  :  10.2478/ausm-2018-0018

学科分类：社会科学、人文和艺术（综合）

来源: Editura Scientia / Scientia Publishing House

【 摘 要 】

This paper concerns the analysis of a Markovian queueingsystem with Bernoulli feedback, single vacation, waiting server and im-patient customers. We suppose that whenever the system is empty thesever waits for a random amount of time before he leaves for a vacation.Moreover, the customer's impatience timer depends on the states of theserver. If the customer's service has not been completed before the im-patience timer expires, the customer leaves the system, and via certainmechanism, impatient customer may be retained in the system. We ob-tain explicit expressions for the steady-state probabilities of the queueingmodel, using the probability generating function (PGF). Further, we ob-tain some important performance measures of the system and formulatea cost model. Finally, an extensive numerical study is illustrated.

【 授权许可】

Unknown