An analysis of discrete-time Geo/Geo/1 queue with feedback, repair and disaster
| العنوان: | An analysis of discrete-time Geo/Geo/1 queue with feedback, repair and disaster |
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| المؤلفون: | R. Sebasthi Priya, R. Sudhesh |
| المصدر: | International Journal of Operational Research. 35:37 |
| بيانات النشر: | Inderscience Publishers, 2019. |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Distribution (mathematics), Recurrence relation, Discrete time and continuous time, Epoch (reference date), Computer science, Differential equation, Reliability (computer networking), Applied mathematics, Fraction (mathematics), Management Science and Operations Research, Queue |
| الوصف: | A discrete-time queue with feedback subject to system disaster, server failures and repair is considered in this paper. The time-dependent system-size probabilities are obtained by using generating functions where the system of difference equations in two parameters namely time epoch (m) and number of customers (n) are transformed into another difference equation in terms of generating functions. The difference equations of generating functions satisfy a three-term recurrence relation which leads to continued fraction. System-size probabilities and some performance measures in steady-state are derived. Further, busy period distribution, reliability and availability are also obtained. Numerical illustrations are provided for different parameter values to see their effect on performance measures and to get more in-sight of the model behaviour. |
| تدمد: | 1745-7653 1745-7645 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::349f2a27e8de63a6e143c38926ba4e7aTest https://doi.org/10.1504/ijor.2019.10021032Test |
| رقم الانضمام: | edsair.doi.dedup.....349f2a27e8de63a6e143c38926ba4e7a |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 17457653 17457645 |
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