Accession Number:
ADA089872
Title:
Stationary Waiting Time Distributions in the GI/PH/1 Queue.
Descriptive Note:
Technical rept.,
Corporate Author:
DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST
Personal Author(s):
Report Date:
1980-03-01
Pagination or Media Count:
23.0
Abstract:
It is known that the stable GIPHi queue has an embedded Markov chain whose invariant probability vector is matrix-geometric with a rate matrix R. In terms of the matrix R, the stationary waiting time distributions at arrivals, at an arbitrary time point and until the customers departure may be evaluated by solving finite, highly structured systems of linear differential equations with constant coefficients. Asymptotic results, useful in truncating the computations, are also obtained. The queue is assumed to follow the first-come, first-served discipline. Author
Descriptors:
Subject Categories:
- Statistics and Probability