CAJ | 학술논문

研究了带有正、负顾客且顾客容量有限的 M/M/1/N多重休假排队系统，引入不耐烦、空竭服务、反馈和启动期策略，同时假设服务台可能发生故障。利用马尔科夫过程理论建立系统稳态矩阵方程组，并利用矩阵几何解和分块矩阵方法得到了稳态概率的矩阵解，求出了系统稳态下的一些性能指标。最后运用M atlab软件进行数值分析，为系统的优化设计提供参考。
연구료대유정、부고객차고객용량유한적 M/M/1/N다중휴가배대계통，인입불내번、공갈복무、반궤화계동기책략，동시가설복무태가능발생고장。이용마이과부과정이론건립계통은태구진방정조，병이용구진궤하해화분괴구진방법득도료은태개솔적구진해，구출료계통은태하적일사성능지표。최후운용M atlab연건진행수치분석，위계통적우화설계제공삼고。
This paper studies an M/M/1/N multiple working vacation queuing system with limited capacity , in w hich customers are either “positive” or “negative” , introducing impatient strategy , exhaustive service , feedback and set-up time , simultaneously assuming desk may malfunction . The matrix form solution of steady-state probability is derived by the Markov process method , and the steady-state probability in matrix form is derived by using matrix-geometric solution and block-matrix-solution method , some reliable indices of the steady-state system are given . Finally , the corresponding numerical analysis is made by Matlab ,which would provide a basis for optimal design .