SINGLE-SERVER QUEUE WITH STATE-DEPENDENT SERVICE

被引：13

作者：

SHANTHIKUMAR, JG

机构：

来源：

NAVAL RESEARCH LOGISTICS | 1979年 / 26卷 / 02期

关键词：

Compendex;

D O I：

10.1002/nav.3800260210

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：

This paper discusses a class of queueing models in which the service time of a customer at a single server facility is dependent on the queue size at the onset of its service. The Laplace transform for the wait in queue distribution is derived and the utilization of the server is given when the arrival is a homogeneous Poisson process.

引用

收藏

页码：305 / 309

页数：5

相关论文

共 10 条

[1] LEVEL-CROSSINGS IN POINT PROCESSES APPLIED TO QUEUES - SINGLE-SERVER CASE [J].

BRILL, PH ;

POSNER, MJM .

OPERATIONS RESEARCH, 1977, 25 (04) :662-674

[2]

Buzacott J. A., 1974, INFOR. Canadian Journal of Operational Research and Information Processing, V12, P174

[3] QUEUES WITH HYPER-POISSON INPUT AND EXPONENTIAL SERVICE TIME DISTRIBUTION WITH STATE DEPENDENT ARRIVAL AND SERVICE RATES [J].

GUPTA, SK .

OPERATIONS RESEARCH, 1967, 15 (05) :847-&

[4] BUSY PERIOD OF QUEUES WITH STATE DEPENDENT ARRIVAL AND SERVICE RATES [J].

HADIDI, N .

JOURNAL OF APPLIED PROBABILITY, 1974, 11 (04) :842-848

[5]

Harris C. M., 1966, THESIS POLYTECHNIC I

[6] A QUEUEING SYSTEM WITH MULTIPLE SERVICE TIME DISTRIBUTIONS [J].

HARRIS, CM .

NAVAL RESEARCH LOGISTICS QUARTERLY, 1967, 14 (02) :231-&

[7] QUEUES WITH STATE-DEPENDENT STOCHASTIC SERVICE RATES [J].

HARRIS, CM .

OPERATIONS RESEARCH, 1967, 15 (01) :117-&

[8]

LIBURA M, 1971, ARCH AUTOMATYKI TELE, V16, P279

[9] SINGLE-SERVER QUEUES WITH SERVICE TIME-DEPENDENT ON WAITING TIME [J].

POSNER, M .

OPERATIONS RESEARCH, 1973, 21 (02) :610-616

[10] QUEUES WITH STATE-DEPENDENT SERVICE TIMES [J].

ROSENSHI.M .

TRANSPORTATION RESEARCH, 1967, 1 (02) :97-&