FINITE CAPACITY QUEUE WITH MULTIPLE POISSON
ARRIVALS AND GENERALLY DISTRIBUTED
SERVICE TIMES
Angel Vassilev Nikolov
Department of Mathematics and Computer Science
National University of Lesotho
Roma 180, LESOTHO

Abstract. The present article explores a queuing system with multiple inputs, single server, different service rates, and limited size of the buffer. The system parameters are crucial for the performance of numerous applications. We develop an analytical model of such a system and obtain the following results: steady-state probabilities of the system and system throughput.
AMS Subject Classification: 90B22
Key Words and Phrases: queuing, Markov process, Kendal notations, supplementary variable


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DOI: 10.12732/ijam.v26i2.9

Volume: 26
Issue: 2
Year: 2013