Probabilistic Analysis of Single Server Queueing Systems with Feedback, Customer Decisions, and Vacation Interruptions
Keywords:
Queueing theory, Single-server system, Feedback, Customer decisions, Vacation interruptions, Markov chains, Performance metrics, System optimizationAbstract
This paper focuses on giving a detailed probabilistic modeling of a periodic replenishment system in a single server feedback system with customer controlling and vacation break systems. The primary concern is using mathematical model to assess the performance of the system by taking into account feedback from the customers, customer’s decision making to join the system or abandon it and
the vacation disturbed where the server does not serve any customer. These form the main performance measurements such as number of customers, waiting time, system load, etc., which are obtained using Markov chain for steady state analysis. The results are applied to consider the effects of feedback and vacations on system productivity and to develop recommendations for improving queues in real-world situations.
References
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