2 QUEUES WITH ALTERNATING SERVICE

被引:44
作者
EISENBERG, M [1 ]
机构
[1] BELL TEL LABS INC,HOLMDEL,NJ 07733
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
收藏
页码:287 / 303
页数:17
相关论文
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