Abstract
In the present study, a single server queueing system with batch arrivals of the units is considered. The provision of optional service after availing essential service is available in the system, and it is assumed that the server may break down during any stage of the service of the units and provides the repair facility immediately. The server may also avail the vacation under Bernoulli vacation policy after completion of the service of the units. The supplementary variable approach with probability generating functions is applied to analyze the system to find the system performance characteristics. The numerical illustration is considered to obtain the system state probabilities and queueing/reliability indices to study the effect of system parameters on the various performance measures.
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Singh, C.J., Kaur, S. (2019). MX/G/1 Queue with Optional Service and Server Breakdowns. In: Deep, K., Jain, M., Salhi, S. (eds) Performance Prediction and Analytics of Fuzzy, Reliability and Queuing Models . Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-0857-4_13
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DOI: https://doi.org/10.1007/978-981-13-0857-4_13
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