Analysis of fluid system fed by an infinite servers queue subject to catastrophes servers and reparable | ||||
| مجلة البØوث التجارية | ||||
| Articles in Press, Accepted Manuscript, Available Online from 12 August 2025 | ||||
| Document Type: تجاریة کل ما یتعلق بالعلوم التجاریة | ||||
| DOI: 10.21608/zcom.2025.400642.1471 | ||||
 View on SCiNiTO | ||||
| Author | ||||
نادية Ù…Øمد سرØان  
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| كلية التجارة بنات - جامعة الازهر | ||||
| Abstract | ||||
| ABSTRACT: This article examines an system with catastrophic server failures and repairs that feeds a fluid queue. The buffer content's stationary distribution function is expressed explicitly in terms of confluent queueing hyper geometric functions. The expression for the joint probability of the buffer's content and the number of customers in an queueing system has been obtained using continued fraction techniques. The stationary analyses of fluid flow queueing models in a stochastic environment can be effectively scrutinized and applied in the modern telecommunication systems and various advanced computer communication networks. Especially, the fluid queues are used in the performance analyses of data packet transmission networks, traffic flows at high-speed computer networks, and rechargeable batteries in smart mobile phones. A few key performance indicators are acquired. Finally, the numerical work is shown to show how the buffer content distribution behaves and how the performance metrics for the suggested fluid queueing system work. | ||||
| Keywords | ||||
| Infinite queue; Stationary analysis; Confluent Hypergeometric Function; Catastrophes; Repairable servers | ||||
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Statistics Article View: 10 |
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