Accession Number:

AD0725049

Title:

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

Descriptive Note:

Corporate Author:

NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s):

• Smith,Woollcott

Report Date:

1971-05-01

Pagination or Media Count:

13.0

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 1mu 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