Optimal control for an MX/G/1 queue with two service modes

被引：22

作者：

Nobel, RD ^{[1
]}

Tijms, HC ^{[1
]}

机构：

[1] Vrije Univ Amsterdam, Dept Econometr, NL-1081 HV Amsterdam, Netherlands

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 1999年 / 113卷 / 03期

关键词：

batch-arrival queue; controllable service rate; Markov decision theory;

D O I：

10.1016/S0377-2217(98)00085-X

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

A practically important model is the queueing model with controllable service rate. This paper considers a single-server model with batch Poisson input and two service modes, where switch-over times are involved when changing the service mode. A class of simple switch-over rules is considered and, using Markov decision theory, a tailor-made policy-iteration algorithm is developed for computing a rule that mimimizes the long-run average number of customers in the system. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：610 / 619

页数：10

共 50 条

[1] Optimal Control for an MX/G/1/N+1 Queue with Two Service Modes
Nobel, Rein D.
Ridder, Adriaan A. N.
[J]. COMPUTATIONAL INTELLIGENCE, CYBER SECURITY AND COMPUTATIONAL MODELS, 2014, 246 : 47 - 59
[2] Optimal control for a BMAP/G/1 queue with two service modes
Dudin, AN
Nishimura, S
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 1999, 5 (03) : 255 - 273
[3] Regenerative approach for analysis of MX/G/1 queue with two service modes
Nobel, RD
[J]. AUTOMATIC CONTROL AND COMPUTER SCIENCES, 1998, 32 (01) : 1 - 10
[4] The optimal control of an Mx/G/1 unreliable server queue with two phases of service and Bernoulli vacation schedule
Choudhury, Gautam
Tadj, Lotfi
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 673 - 688
[5] Steady state analysis of a Mx/G/1 queue with two service modes and multiple vacations
Department of Mathematics, Chikkanna Government Arts College, Tirupur, Tamil Nadu 641 602, India
不详
[J]. Int. J. Ind. Syst. Eng., 2008, 6 (692-710):
[6] Optimal multithreshold control for a BMAP/G/1 queue with N service modes
A. Dudin
[J]. Queueing Systems, 1998, 30 : 273 - 287
[7] Optimal multithreshold control for a BMAP/G/1 queue with N service modes
Dudin, A
[J]. QUEUEING SYSTEMS, 1998, 30 (3-4) : 273 - 287
[8] Optimal control for an M(x)/G/1 queue with two operation modes
Dudin, A
[J]. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 1997, 11 (02) : 255 - 265
[9] AN MX/G/1 UNRELIABLE RETRIAL QUEUE WITH TWO PHASE SERVICE AND PERSISTENCE BEHAVIOUR OF CUSTOMERS IN SERVICE
Kumar, M. Senthil
Arumuganathan, R.
[J]. RAIRO-OPERATIONS RESEARCH, 2013, 47 (01) : 9 - 32
[10] An MX/G/1 unreliable retrial queue with two phases of service and Bernoulli admission mechanism
Choudhury, Gautam
Deka, Kandarpa
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) : 936 - 949

← 1 2 3 4 5 →