CAJ | 학술논문

研究单重休假M／PH／1排队系统驱动的流模型，应用经典的矩阵解析方法，证得流模型联合分布的Laplace变换具有矩阵幂函数结构，基于这一事实，得到的稳态库存水平的Laplace变换及空库概率。休假策略的引入将为流模型的优化设计提供更为丰富的变化。
연구단중휴가M／PH／1배대계통구동적류모형，응용경전적구진해석방법，증득류모형연합분포적Laplace변환구유구진멱함수결구，기우저일사실，득도적은태고존수평적Laplace변환급공고개솔。휴가책략적인입장위류모형적우화설계제공경위봉부적변화。
This article analyzed a fluid model driven by an M/PH/1 queue with single exponential vaca-tions.It is proved that the expression for the Laplace transform of the joint steady -state distribution of the fluid model is of a simple matrix power function form , base on which the Laplace transform of the steady -state distri-bution of the buffer content was obtained , as well as the stationary probability of empty buffer content .The vaca-tion policy will bring more varieties for the optimization and design of the fluid model .