Accession Number : AD0635688

Title :   AN EXTENSION OF PALM'S THEOREM FOR (M G S) QUEUES TO THE CASE WHERE SERVICE RATES ARE DEPENDENT ON THE NUMBER OF BUSY CHANNELS.

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Sherbrooke, Craig C.

Report Date : JUL 1966

Pagination or Media Count : 10

Abstract : An s channel queueing facility is considered where arrivals are Poisson. When all s channels are busy subsequent arrivals are lost. There is one arbitrary service distribution applicable to all channels, but the service rate is dependent on the number of busy channels. It is shown that the steady state probabilities are those which would be obtained under the assumption of exponential service. The model is related to an inventory problem with expediting. (Author)

Descriptors :   (*QUEUEING THEORY, *INVENTORY ANALYSIS), STOCHASTIC PROCESSES

Subject Categories : Administration and Management
      Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE