Accession Number : AD0422412

Title :   PRIORITY QUEUES,

Corporate Author : COLUMBIA UNIV NEW YORK

Personal Author(s) : Takacs,Lajos

Report Date : 03 OCT 1963

Pagination or Media Count : 22

Abstract : Cutomers of different priorities are arriving at a counter in accordance with a Poisson process. The customers are served by a single server in order of priority and for each priority in order of arrival. Two cases are considered: (i) service with privileged interruptions and (ii) service without interruption. It is supposed that the service times are mutually independent random variables having a prescribed distribu tion for each priority and independent of the arrival times. In both cases and a simple method is given for finding the Laplace-Stieltjes transform and the moments of the stationary distribution of the waiting time for each priority level. (Author)

Descriptors :   (*QUEUEING THEORY, STATISTICAL ANALYSIS), PROBABILITY, STATISTICAL PROCESSES, STATISTICAL FUNCTIONS, INTEGRAL TRANSFORMS, EQUATIONS, STATISTICAL DISTRIBUTIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE