Accession Number : AD0725049

Title :   The Infinitely Many Server Queue with Semi-Markovian Arrivals and Customer Dependent Exponential Service Times,

Corporate Author : NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s) : Smith,Woollcott

Report Date : MAY 1971

Pagination or Media Count : 13

Abstract : An infinitely many server queue with N types of customers arriving according to a semi-Markov process is studied. The service times are independent exponential random variables with means 1/mu sub i where i is the type of customer being served. The stationary distribution of the embedded Markov chain and the limiting distribution of the continuous time process are obtained. (Author)

Descriptors :   (*QUEUEING THEORY, STOCHASTIC PROCESSES), DISTRIBUTION FUNCTIONS, RANDOM VARIABLES, INTEGRAL TRANSFORMS, ALGORITHMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE