Some aspects of an<Emphasis Type="Italic">M/G/1</Emphasis> queueing system with optional second service |
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Authors: | Gautam Choudhury |
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Institution: | (1) Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, 781022 Khanapara, Guwahati, Assam, India |
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Abstract: | This paper examines the steady state behaviour of anM/G/1 queue with a second optional service in which the server may provide two phases of heterogeneous service to incoming units.
We derive the queue size distribution at stationary point of time and waiting time distribution. Moreover we derive the queue
size distribution at the departure point of time as a classical generalization of the well knownPollaczek Khinchin formula. This is a generalization of the result obtained by Madan (2000).
This work is supported by Department of Atomic Energy, Govt. of India, NBHM Project No. 88/2/2001/R&D II/2001. |
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Keywords: | M/G/1 queue Second optional service Queue size waiting time Pollaczek-Khinchin formula |
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