A SERVICE SYSTEM WITH 2 STAGES OF WAITING AND FEEDBACK OF CUSTOMERS

被引:12
作者
ALI, OME [1 ]
NEUTS, MF [1 ]
机构
[1] UNIV DELAWARE,NEWARK,DE 19711
关键词
D O I
10.2307/3213649
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Customers initially enter a service unit via a waiting room. The customers to be served are stored in a service room which is replenished by the transfer of all those in the waiting room at the points in time where the service room becomes empty. At those epochs of transfer, positive random numbers of 'overhead customers' are also added to the service room. Algorithmically tractable expressions for the stationary distributions of queue lengths and waiting times at various embedded random epochs are derived. The discussion generalizes an earlier treatment by L. Takacs in several directions.
引用
收藏
页码:404 / 413
页数:10
相关论文
共 4 条
[1]  
KARLIN S, 1975, 1ST COURSE STOCHASTI
[2]  
NEUTS MF, 1980, COMPUTATIONAL PROBAB, P11
[3]  
Neuts MF., 1981, MATRIX GEOMETRIC SOL
[4]  
TAKACS L, 1977, RAIRO-RECH OPER, V11, P345