基于启动时间和完全故障的双阶段休假排队系统的流体模型性能分析

Abstract

Abstract:

Based on the energy conversion mechanism of wind power street lamps, this paper constructed and analyzed a fluid model driven by the M/M/1 queueing system with set-up time and complete failure. Firstly, the driving system is described and the stationary probability distribution of the driving system is obtained by using the matrix-geometry method. Secondly, the differential and difference equations of the fluid level in steady-state conditions are obtained based on the net input rate structure of the fluid model and using the probability analysis method. Then, the expected buffer content and the probability of the empty buffer under steady-state conditions are obtained by using the Laplace-Stieltjes transform(LST) method. The cost function of the system is constructed according to the performance index. Finally, the influence of parameters changing on the performance indicators and cost function are illustrated in numerical analysis.

Key words: Fluid model, Two-stage vacation, Set-up time, Complete failure, Buffer content

CLC Number:

O226

Xu Xiuli, Zhang Yitong, Wang Xun, Liu Mingxin. Performance Analysis of Fluid Model Based on Two-Stage Vacation Queue with Set-Up Time and Complete Failure[J].Acta mathematica scientia,Series A, 2024, 44(4): 1092-1109.

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Performance Analysis of Fluid Model Based on Two-Stage Vacation Queue with Set-Up Time and Complete Failure

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