FINITE CAPACITY QUEUE WITH MULTIPLE POISSON ARRIVALS AND GENERALLY DISTRIBUTED SERVICE TIMES

Prof Angel Vassilev Nikolov/National University of LesothoAbstract. 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: 90B22Key Words and Phrases: queuing, Markov process, Kendal notations, supplementary variable