Modeling and analysis of stochastic systems
Modeling and analysis of stochastic systems
Advanced Engineering Mathematics: Maple Computer Guide
Advanced Engineering Mathematics: Maple Computer Guide
Busy period analysis for M/G/1 and G/M/1 type queues with restricted accessibility
Operations Research Letters
Balking and reneging in m/g/s systems exact analysis and approximations
Probability in the Engineering and Informational Sciences
Busy period analysis for M/PH/1 queues with workload dependent balking
Queueing Systems: Theory and Applications
Analysis of an $$M/M/1+G$$M/M/1+G queue operated under the FCFS policy with exact admission control
Queueing Systems: Theory and Applications
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We consider an M/PH/1 queue with balking based on the workload. An arriving customer joins the queue and stays until served only if the system workload is below a fixed level at the time of arrival. The steady state workload distribution in such a system satisfies an integral equation. We derive a differential equation for Phase type service time distribution and we solve it explicitly, with Erlang, Hyper-exponential and Exponential distributions as special cases. We illustrate the results with numerical examples.