Optimal multithreshold control for a BMAP/G/1 queue with N service modes

被引：22

作者：

Dudin, A ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk 50, BELARUS

来源：

QUEUEING SYSTEMS | 1998年 / 30卷 / 3-4期

关键词：

single server queue; controlled service rate; batch Markovian arrival process; optimization;

D O I：

10.1023/A:1019121222439

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper deals with the problem of the optimal service rate control in the system with BMAP (Batch Markovian Arrival Process) arrival stream. An algorithm for the computation of the embedded stationary queue length distribution is developed. The procedure for the cost criteria calculation is elaborated for any fixed parameters of the multithreshold control policy.

引用

页码：273 / 287

页数：15

共 24 条

[1]

COHEN JW, 1995, BSR9523 CTR WISK INF

[2]

COMBE MB, 1995, THESIS AMSTERDAM

[3] OPTIMAL CONTROL OF A SERVICE FACILITY WITH VARIABLE EXPONENTIAL SERVICE TIMES AND CONSTANT ARRIVAL RATE [J].

CRABILL, TB .

MANAGEMENT SCIENCE SERIES A-THEORY, 1972, 18 (09) :560-566

[4]

David Lucantoni M., 1991, Commun. Stat. Stoch. Models, V7, P1, DOI DOI 10.1080/15326349108807174

[5]

Dudin AN, 1998, AUTOM CONTROL COMPUT, V32, P11

[6]

Dudin AN, 1996, J APPL MATH STOCHAST, V9, P185

[7]

DUDIN AN, 1988, 13 ALL UN WORKSH COM

[8]

DUDIN AN, 1997, AUTOMAT REM CONTR, V1, P74

[9]

DUDIN AN, 1991, THESIS MINSK

[10] LINEAR INDEPENDENCE OF ROOT EQUATIONS FOR M/G/1 TYPE MARKOV-CHAINS [J].

GAIL, HR ;

HANTLER, SL ;

SIDI, M ;

TAYLOR, BA .

QUEUEING SYSTEMS, 1995, 20 (3-4) :321-339

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