Accession Number : AD0656483

Title :   TWO QUEUES IN SERIES WITH A FINITE INTERMEDIATE WAITINGROOM,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Neuts,Marcel F.

Report Date : JUN 1967

Pagination or Media Count : 35

Abstract : A service unit I, with Poisson input and general service times is in series with a unit II, with negative-exponential service times. The intermediate waitingroom can accomodate at most k persons and a customer cannot leave unit I when the waitingroom is full. The paper shows that this system of queues can be studied in terms of an imbedded semi-Markov process. Equations for the time dependent distributions are given, but the main emphasis of the paper is on the equilibrium conditions and on asymptotic results. (Author)

Descriptors :   (*QUEUEING THEORY, STATISTICAL PROCESSES), MATHEMATICAL MODELS, RANDOM VARIABLES, DISTRIBUTION THEORY, SEQUENCES(MATHEMATICS), PROBABILITY, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE