CAJ | 학술논문

针对一类带有止步和中途退出及 K─重休假的两阶段服务 M/M/1排队系统,利用平衡方程、母函数法,取得了该类排队系统的稳态概率、队长分布和平均队长,以及顾客的平均中途退出率,平均止步率等.通过数值例子,进一步探究了单重、K 重、多重休假对系统平均队长等性能指标的影响.该成果在通讯系统、交通系统、计算机存储系统等领域有广泛的应用.
침대일류대유지보화중도퇴출급 K─중휴가적량계단복무 M/M/1배대계통,이용평형방정、모함수법,취득료해류배대계통적은태개솔、대장분포화평균대장,이급고객적평균중도퇴출솔,평균지보솔등.통과수치례자,진일보탐구료단중、K 중、다중휴가대계통평균대장등성능지표적영향.해성과재통신계통、교통계통、계산궤존저계통등영역유엄범적응용.
@@@@A two-phase queuing system with K-vacation and impatient customers is investigated in this paper. The probability generating functions for the numbers of customers in the system in various server states are derived. In addition, the mean system sizes for various server states, the average rate of balking, and the average rate of reneging are obtained. The study outcomes can be universally applied in communication system, traffic system, and computer storage system.