Measurement and performance of the strong stability method
| العنوان: | Measurement and performance of the strong stability method |
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| المؤلفون: | Louiza Bouallouche, Djamil Aïssani |
| المصدر: | Theory of Probability and Mathematical Statistics. 72:1-9 |
| بيانات النشر: | American Mathematical Society (AMS), 2006. |
| سنة النشر: | 2006 |
| مصطلحات موضوعية: | Statistics and Probability, Combinatorics, Stationary distribution, Markov chain, Approximation error, Computation, M/M/1 queue, Order (group theory), Applied mathematics, Statistics, Probability and Uncertainty, Queue, Stability (probability), Mathematics |
| الوصف: | The aim of this paper is to show how to use in practice the strong stability method and also to prove its efficiency. That is why we chose the GI/M/1 model for which there exist analytical results. For this purpose, we first determine the approximation conditions of the char- acteristics of the GI/M/1 system. Under these conditions, we obtain the stability inequalities of the stationary distribution of the queue size. We finally elaborate upon an algorithm for the approximation of the GI/M/1 system by the M/M/1 system, which calculates the approximation error with an exact computation. In order to give some idea about its application in practice, we give a numerical example. The accuracy of the approach is evaluated by comparison with some known exact results. |
| تدمد: | 1547-7363 0094-9000 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::daf1c35f12e50bdf47f6fbefff72c141Test https://doi.org/10.1090/s0094-9000-06-00659-4Test |
| حقوق: | OPEN |
| رقم الانضمام: | edsair.doi...........daf1c35f12e50bdf47f6fbefff72c141 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15477363 00949000 |
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