Optimal control for a BMAP/SM/1 queue with MAP-input of disasters and two operation modes

被引：7

作者：

Semenova, OV ^{[1
]}

机构：

[1] Belarusian State Univ, Fac Appl Math & Comp Sci, Lab Appl Probabilist Anal, Minsk 220050 50, BELARUS

来源：

RAIRO-OPERATIONS RESEARCH | 2004年 / 38卷 / 02期

关键词：

negative arrivals; BMAP/SM/1; queue; Markovian arrival process of disasters; operation modes;

D O I：

10.1051/ro:2004017

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：

A single-server queueing system with a batch Markovian arrival process (BMAP) and MAP-input of disasters causing all customers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.

引用

页码：153 / 171

页数：19

共 31 条

[1] Optimal multithreshold control for BMAP/SM/1 queue with map-input of disasters
Semenova, Olga V.
ASMTA 2006: 13TH INTERNATIONAL CONFERENCE ON ANALYTICAL AND STOCHASTIC MODELLING TECHNIQUES AND APPLICATIONS, PROCEEDINGS, 2006, : 14 - 19
[2] Optimal hysteretic control for a BMAP/SM/1/N queue with two operation modes
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Nishimura, S
MATHEMATICAL PROBLEMS IN ENGINEERING, 2000, 5 (05) : 397 - 419
[3] Stable algorithm for stationary distribution calculation for a BMAP/SM/1 queue with map-input of disasters and non-instantaneous recovery
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Kim, CS
ASMTA 2004: 11TH INTERNATIONAL CONFERENCE ON ANALYTICAL AND STOCHASTIC MODELLING TECHNIQUESAND APPLICATIONS, PROCEEDINGS, 2004, : 11 - 15
[4] The BMAP/SM/1 retrial queue with controllable operation modes
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[5] Optimal Hysteresis Control for an Unreliable BMAP/SM/1 System with Two Operation Modes
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[6] Optimal hysteresis control for an unreliable BMAP/SM/1 system with two operation modes
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AUTOMATION AND REMOTE CONTROL, 2002, 63 (10) : 1585 - 1596
[7] Optimal control for a BMAP/G/1 queue with two service modes
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MATHEMATICAL PROBLEMS IN ENGINEERING, 1999, 5 (03) : 255 - 273
[8] BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery
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PERFORMANCE EVALUATION, 2001, 45 (01) : 19 - 32
[9] Optimal multithreshold control for a BMAP/G/1 queue with N service modes
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Queueing Systems, 1998, 30 : 273 - 287
[10] Optimal multithreshold control for a BMAP/G/1 queue with N service modes
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QUEUEING SYSTEMS, 1998, 30 (3-4) : 273 - 287

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