Control F-policy for Markovian retrial queue with server breakdowns

Madhu Jain · Sudeep Singh Sanga · Rakesh Kumar Meena

18 citations0/0 files storedIEEE International Conference on Power Electronics, Intelligent Control and Energy Systems

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Advanced Queuing Theory Analysis Petri Nets in System Modeling Age of Information Optimization

Abstract

The present study is concerned with the control policy for the retrial queue with server breakdowns. Customers are not allowed to join if the system becomes full but still service is being provided with slower rate than that of the normal busy period. To deal with the more practical scenario, the startup time taken into account to develop Markov model. Chapman-Kolmogorov equations governing the system states have been framed to analyze the performance indices of the queueing system. To explore the effect of system descriptors on various performance indices, numerical simulation and sensitivity analysis have been conducted by taking numerical example. A cost function is also constructed to determine the optimal service rate and minimum cost. Adaptive neuro fuzzy interface system (ANFIS) has also considered to compare the numerical results obtained with neuro-fuzzy results.

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References

2008Retrial Queueing Systems 1999Accessible bibliography on retrial queues 1987A survey on retrial queues 1995Interrelationship between controlling arrival and service in queueing systems 2006An M/M/1 retrial queue with unreliable server 2010Optimization and sensitivity analysis of controlling arrivals in the queueing system with single working vacation 2009Controlling arrivals for a queueing system with an unreliable server: Newton-Quasi method 2011Controlling arrival and service of a two-removable-server system using genetic algorithm

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