非对称核方法在 PH/M/1 排队系统强稳定性研究中的应用

IF 0.8 Q3 STATISTICS & PROBABILITY

Monte Carlo Methods and Applications Pub Date : 2023-12-13 DOI:10.1515/mcma-2023-2023

Yasmina Djabali, Sedda Hakmi, Nabil Zougab, D. Aïssani

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引用次数: 0

摘要

摘要本文提出了非参数非对称核方法，用于研究PH/M/1排队系统的强稳定性，在到达分布扰动后评价复杂GI/M/1系统的接近性，其中GI是一个未知的一般分布。广义伽玛核(GG)类由于其几个有趣的性质和灵活性而被考虑。通过计算变异距离和稳定性误差，对多个模型进行了仿真，验证了GG非对称核估计在PH/M/1强稳定性研究中的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymmetric kernel method in the study of strong stability of the PH/M/1 queuing system

Abstract This paper proposes the nonparametric asymmetric kernel method in the study of strong stability of the PH/M/1 queuing system, after perturbation of arrival distribution to evaluate the proximity of the complex GI/M/1 system, where GI is a unknown general distribution. The class of generalized gamma (GG) kernels is considered because of its several interesting properties and flexibility. A simulation for several models illustrates the performance of the GG asymmetric kernel estimators in the study of strong stability of the PH/M/1, by computing the variation distance and the stability error.

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来源期刊

Monte Carlo Methods and Applications STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

22.20%

发文量