IMPATIENT CUSTOMERS IN MARKOVIAN QUEUE WITH BERNOULLI FEEDBACK AND WAITING SERVER UNDER VARIANT WORKING VACATION POLICY

被引：4

作者：

Bouchentouf, Amina Angelika ^{[1
]}

Yahiaoui, Lahcene ^{[2
]}

Kadi, Mokhtar ^{[2
]}

Majid, Shakir ^{[3
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Dept Math, BP 89, Sidi Bel Abbes 22000, Algeria

[2] Univ Moulay Tahar Saida, BP 138 Cite ENNASR, Saida 20000, Algeria

[3] Govt Degree Coll Mendhar, Poonch, Jammu & Kashmir, India

来源：

OPERATIONS RESEARCH AND DECISIONS | 2020年 / 30卷 / 04期

关键词：

queueing models; variant of a multiple working vacation; balking; reneging; retention of reneged customers; simulation; M/M/1; QUEUE; SINGLE; SYSTEM;

D O I：

10.37190/ord200401

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

This paper deals with customers' impatience behaviour for single server Markovian queueing system under K-variant working vacation policy, waiting server, Bernoulli feedback, balking, reneging, and retention of reneged customers. Using the probability generating function (PGF) technique, we obtain the steady-state solution of the system. Besides, we prove the stochastic decomposition properties. Useful performance measures of the considered queueing system are derived. A cost model is developed. Then, the parameter optimisation is carried out numerically, using a quadratic fit search method (QFSM). Finally, numerical examples are provided to visualise the analytical results.

引用

页码：5 / 28

页数：24

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