A new Markovian description of the M/G/1 retrial queue

被引：3

作者：

Rodrigo, A ^{[1
]}

Vazquez, M ^{[1
]}

Falin, G ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Ciencias Econ, Dept Anal Econ, Madrid 28223, Spain

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 1998年 / 104卷 / 01期

关键词：

queues; repeated attempts; statistical inference;

D O I：

10.1016/S0377-2217(97)00250-6

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

This article deals with a new Markovian description of the M/G/1 retrial queue. We consider the process (M(t), N(t)), where M(t) is the total number of arrivals from the last departure until time t and N(t) is the number of customers in orbit at time t. We obtain the generating function together with a recurrent formula for factorial moments in the steady state. We use this process to get an estimator of the parameter of retrial and its variance by solving some linear differential equations. We also give some numerical examples. (C) 1998 Elsevier Science B.V.

引用

页码：231 / 240

页数：10

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