Accession Number : AD0642397

Title :   AN EXTENSION OF PALM'S THEOREM FOR (M G S) QUEUES TO THE CASE WHERE ARRIVAL AND SERVICE RATES DEPEND ON THE NUMBER OF BUSY CHANNELS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Sherbrooke,Craig C.

Report Date : NOV 1966

Pagination or Media Count : 12

Abstract : An s channel queueing facility is considered where arrivals are Poisson with a rate dependent on the number of busy channels. When all s channels are busy, subsequent arrivals are lost. Each channel has an independent, identical service distribution of arbitrary form, but the rate at which service is performed is also dependent on the number of busy channels. A simple proof generalizes the theorem due to Palm that shows the steady state probabilities are identical with those obtained under the assumptions of exponential service. The theory is applied to hospital admissions, an inventory problem with expediting, and a demographic situation. (Author)

Descriptors :   (*THEOREMS, *QUEUEING THEORY), INVENTORY ANALYSIS, POPULATION, STATISTICAL PROCESSES, OPERATIONS RESEARCH, HOSPITALS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE