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Performance analysis of preemptive priority retrial queue with immediateBernoulli feedback under working vacations and vacation interruption |
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รหัสดีโอไอ | |
Creator | 1. Pakkirisami Rajadurai 2. Saravanan Yuvarani 3. Mookkaiya Chandran Saravanarajan |
Title | Performance analysis of preemptive priority retrial queue with immediateBernoulli feedback under working vacations and vacation interruption |
Publisher | Research and Development Office, Prince of Songkla University |
Publication Year | 2559 |
Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
Journal Vol. | 38 |
Journal No. | 5 |
Page no. | 507-520 |
Keyword | retrial queue,preemptive priority queue,immediate Bernoulli feedback,working vacations,supplementary variable technique |
ISSN | 0125-3395 |
Abstract | The present investigation deals with performance analysis of single server preemptive priority retrial queue withimmediate Bernoulli feedback. There are two types of customers are considered, which are priority customers and ordinarycustomers. The priority customers do not form any queue and have an exclusive preemptive priority to receive their servicesover ordinary customers. After completion of regular service for ordinary customer, the customer is allowed to make animmediate feedback with probability r. When the orbit becomes empty at service completion instant for a priority customeror ordinary customer; the server goes for multiple working vacations. By using the supplementary variable technique,we obtained the steady state probability generating functions for the system/orbit. Some important system performancemeasures, the mean busy period and the mean busy cycle are discussed. Finally, some numerical examples are presented. |