Abstract
This article is concerned with the performance prediction of feedback Markovian queueing model with working vacations. During the period of vacation, the server continues its job with slower rate. In case when the server is on normal busy state, the customers may be discouraged to join the queue and depart from the system. After the service completion, the unsatisfied customer may also feedback to the system when operating in normal busy as well as working vacation mode. The transient solution of the system size probability distribution is obtained in terms of modified Bessel’s function by using the probability generating function and continued fractions. The time-dependent results for various performance indices including cost function are derived. By taking illustration, numerical simulation and sensitivity of performance indices with respect to different parameters are provided.
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Jain, M., Rani, S., Singh, M. (2019). Transient Analysis of Markov Feedback Queue with Working Vacation and Discouragement. 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_18
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DOI: https://doi.org/10.1007/978-981-13-0857-4_18
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