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.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1966
- Accession Number
- AD0635688
Entities
People
- Craig C. Sherbrooke
Organizations
- RAND Corporation