CAJ | 학술논문

引入一种新的分析方法,研究了一类具有启动/关闭时间的N-策略的M/G/1排队系统的队长分布.首先,使用随机分解技术导出了系统的队长分布的概率母函数;再根据Leibniz公式结合随机分解结果直接得到附加队长分布,进一步得到该排队系统队长分布的表达式;最后,举例说明队长分布表达式的分析应用.
인입일충신적분석방법,연구료일류구유계동/관폐시간적N-책략적M/G/1배대계통적대장분포.수선,사용수궤분해기술도출료계통적대장분포적개솔모함수;재근거Leibniz공식결합수궤분해결과직접득도부가대장분포,진일보득도해배대계통대장분포적표체식;최후,거례설명대장분포표체식적분석응용.
@@@@In this paper, a new method was developedfor calculating the queue length distribution on one M/G/1 queueing system under N-policy with general startup/closedown. Firstly, the stochastic decomposition property was used to derive the p.g.f. of the queue length distribution. By the Leibniz formula of derivation, the addition?al queue length distribution was investigated, and then, the expression of queue length distribution was derived. Finally, an example was given for illustrating the application of the expression.