2 QUEUES WITH ALTERNATING SERVICE

被引：44

作者：

EISENBERG, M ^{[1
]}

机构：

[1] BELL TEL LABS INC,HOLMDEL,NJ 07733

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1979年 / 36卷 / 02期

关键词：

D O I：

10.1137/0136024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A system consisting of two queues and a single server is considered. The server always takes successive customers from different queues, if possible. The queues have Poisson arrivals and general service-time distributions. The mathematical description of this system leads to a single functional equation in two unknowns. By taking advantage of the analyticity of the unknown functions, the functional equation is transformed into an integral equation on a complex domain, whose solution can be obtained.

引用

页码：287 / 303

页数：17

共 7 条

[1] QUEUES WITH PERIODIC SERVICE AND CHANGEOVER TIME [J].

EISENBERG, M .

OPERATIONS RESEARCH, 1972, 20 (02) :440-+

[2]

HILLE E, 1959, ANAL FUNCTION THEORY, V2

[3]

NAIR SS, 1969, 214 PURD U DEP STAT

[4] EXPONENTIAL ERGODICITY OF M/G/1 QUEUE [J].

NEUTS, MF ;

TEUGELS, JL .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1969, 17 (05) :921-&

[5]

POGARZELSKI W, 1966, INTEGRAL EQUATIONS T, V1

[6] 2 QUEUES ATTENDED BY A SINGLE SERVER [J].

TAKACS, L .

OPERATIONS RESEARCH, 1968, 16 (03) :639-&

[7]

Takacs L., 1962, Introduction to the theory of queues

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