Computer and communication systems performance modelling
Computer and communication systems performance modelling
Multi-server threshold queues with hysteresis
Performance Evaluation
Control of a Heterogeneous Two-Server Exponential Queueing System
IEEE Transactions on Software Engineering
Cost optimization of an M/M/r queueing system with queue-dependent servers: genetic algorithm
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Computers and Operations Research
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In this paper, we investigate finite multiserver queueing system with queue dependent heterogeneous servers; the number of servers changes depending on the queue length. Recursive method is employed to solve the steady state equations governing the model. The expression for the average number of customers in the system is obtained, which is further used to establish cost function. In order to gain maximum net profit, the threshold values of queue length at which servers are made available one by one, are determined. Some special cases are deduced, which match with earlier exiting results. We examine the effect of number of servers and input rate on average queue lengths by looking at a numerical illustration. The optimal threshold parameters and corresponding net profit are also tabulated.