Accession Number : AD0747665

Title :   Tables for Multiple-Server Queueing Systems Involving Erlang Distributions.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF

Personal Author(s) : Hillier,Frederick S. ; Lo,Frederick D.

Report Date : 15 JUN 1972

Pagination or Media Count : 180

Abstract : Recent theoretical work has provided the means whereby numerical results can be obtained on the steady-state behavior of multiple-server queueing systems involving Erlang (gamma) distributions. The report presents the results of a comprehensive computational project undertaken to obtain these data. One set of tables gives the complete probability distribution of the number of customers in the system for 16 different values of rho (utilization factor) for 19 multiple-server systems having a Poisson input process and Erlang service times. Accompanying tables summarize (1) probability of waiting, (2) expected number in the queue, and (3) expected number in the system for these same cases. The summary information also is presented for 25 systems having Erlang interarrival times as well, and the complete distribution is given for rho = 0.9. (Author)

Descriptors :   (*QUEUEING THEORY, MULTIPLE OPERATION), PROBABILITY DENSITY FUNCTIONS, RANDOM VARIABLES, STATISTICAL ANALYSIS, APPROXIMATION(MATHEMATICS), MATRICES(MATHEMATICS), TABLES(DATA)

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE