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A maximum entropy approach for the N policy M/G/1 queueing system with a removable server | ||
Computational Sciences and Engineering | ||
مقاله 5، دوره 3، شماره 2، آذر 2023، صفحه 219-229 اصل مقاله (433.34 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22124/cse.2024.27465.1079 | ||
نویسندگان | ||
Moein Mohsenzadeh* 1؛ Abdolrahim Badamchizadeh2؛ Mohammad Jelodari Mamaghani3 | ||
1Department of Statistics, Allameh Tabataba’i University, Tehran, Iran. | ||
2Department of Statistics, Allameh Tabataba’i University, Tehran, Iran. | ||
3Department of Mathematics, Allameh Tabataba'i University, Tehran, Iran | ||
چکیده | ||
The maximum entropy principle has grown progressively more pertinent to queueing systems. The principle of maximum entropy presents an impartial framework as a promising method to examine complex queuing processes. In this research, the N policy M/G/1 queueing system with a removable server was analyzed by using the maximum entropy method. We use maximum entropy principle to derive the approximate formulas for the steady-state probability distributions of the queue length. The maximum entropy approach is then used to give a comparative perusal between the system’s exact and estimated waiting times. We demonstrate that the maximum entropy approach is efficient enough for practical purpose and is a feasible method for approximating the solution of complex queueing systems. | ||
کلیدواژهها | ||
Maximum entropy؛ M/G/1 queueing system؛ N policy؛ Removable server | ||
مراجع | ||
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