Summary
A simple queue with two heterogeneous servers is analyzed. The emphasis is on comparing the two-server heterogeneous and homogeneous systems with the restriction of an upper limitN on the queue size. The optimal service rates for both the servers are found in terms of the arrival rate and the traffic intensityρ. The average characteristics of the heterogeneous system are minimized, and their improvement over the corresponding homogeneous system characteristics is established. For different values ofN andρ, tables are given which compare the average characteristics of the two systems.
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References
V. P. Singh, Queuing systems with balking and heterogeneous servers, Department of Operations Research, Case Western Reserve University,Technical Memorandum No. 113, August 22, 1968.
V. P. Singh, Two server Markovian queues with balking (heterogeneous vs. homogeneous servers),Operations Research, Volume 18, No. 1 (1970) 145–159.
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Singh, V.P., Prasad, J. A heterogeneous system with finite waiting space. J Eng Math 10, 125–134 (1976). https://doi.org/10.1007/BF01535655
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DOI: https://doi.org/10.1007/BF01535655