An M/M/1 Queue with n Undesired Services and a Desired Service

被引：0

作者：

Krishnamoorthy, A. ^{[1
]}

Manjunath, A. S. ^{[2
]}

Vishnevsky, V. M. ^{[3
]}

机构：

[1] Cochin Univ Sci & Technol, Dept Math, Cochin 682022, Kerala, India

[2] Govt Coll Kottayam, Dept Math, Kottayam 686013, Kerala, India

[3] Russian Acad Sci, VA Trapeznikov Inst Control Sci, 65 Profsoyuznaya St, Moscow 117997, Russia

来源：

DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS | 2016年 / 601卷

关键词：

Undesired/desired service states; Random threshold clock;

D O I：

10.1007/978-3-319-30843-2_11

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study an M/M/1 queue with a set of services in undesired states and a desired state. Arrivals are according to a Poisson process with mean rate lambda. An arrival enters into desired service with probability theta, otherwise goes to one of the undesired services with complementary probability depending on the environmental factors. When the service time in undesired states exceeds a threshold random variable, the customer is pushed out of the system. Otherwise the customer, after recognizing that the current service is not the right one moves to desired service state. We discuss the case of n undesired services and a desired service.

引用

下载

页码：102 / 110

页数：9

共 50 条

[1] Optimality of admission control in an M/M/1/N queue with varying services
Su, Yan
Li, Junping
STOCHASTIC MODELS, 2021, 37 (02) : 317 - 334
[2] On the Analysis of a M/M/1 Queue with Bulk Services
Balbo, Gianfranco
Vigliotti, Maria Grazia
COMPUTER JOURNAL, 2015, 58 (01): : 57 - 74
[3] OUTPUT OF M/M/1/N QUEUE
SINGH, VP
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF JAPAN, 1969, 11 (04) : 146 - &
[4] AN M/M/1 QUEUE WITH A GENERAL BULK SERVICE RULE
CURRY, GL
FELDMAN, RM
NAVAL RESEARCH LOGISTICS, 1985, 32 (04) : 595 - 603
[5] The M/M/1 queue with gated random order of service
Resing, J
Rietman, R
STATISTICA NEERLANDICA, 2004, 58 (01) : 97 - 110
[6] M/G/1/N QUEUE WITH VACATION TIME AND LIMITED SERVICE DISCIPLINE
LEE, TT
PERFORMANCE EVALUATION, 1989, 9 (03) : 181 - 190
[7] M/G/1/N QUEUE WITH VACATION TIME AND EXHAUSTIVE SERVICE DISCIPLINE
LEE, TT
OPERATIONS RESEARCH, 1984, 32 (04) : 774 - 784
[8] Fluid queues driven by an M/M/1/N queue
Lenin, RB
Parthasarathy, PR
MATHEMATICAL PROBLEMS IN ENGINEERING, 2000, 6 (05) : 439 - 460
[9] Mθ/G/1/m and Mθ/G/1 systems with the service time dependent on the queue length
K. Yu. Zhernovyi
Yu. V. Zhernovyi
Journal of Communications Technology and Electronics, 2013, 58 : 1267 - 1275
[10] Services within a busy period of an M/M/1 queue and Dyck paths
Draief, M
Mairesse, J
QUEUEING SYSTEMS, 2005, 49 (01) : 73 - 84

← 1 2 3 4 5 →