Accession Number:

AD0656483

Title:

TWO QUEUES IN SERIES WITH A FINITE INTERMEDIATE WAITINGROOM,

Descriptive Note:

Corporate Author:

PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s):

• Neuts,Marcel F.

Report Date:

1967-06-01

Pagination or Media Count:

35.0

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