The M/M/1 Queue with Bernoulli Feedback under Multiple Working Vacation Policy
会议名称：《第五届中国不确定系统年会》
会议日期：2007年
学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学]
关 键 词：Bernoulli feedback Multiple working vacations Stochastic decomposition property Quasi birth-death process and matrix-geometric solution Regular busy period
摘 要：正Consider an M/M/1 queue with Bernoulli feedback under multiple working vacation *** server works at a lower rate rather than com- pletely stopping during a vacation *** quasi- birth-and-death process and matrix-geometric so- lution method,we gain concise expressions of the steady-state distributions for queue length and con- ditional response time which have intuitive proba- bilistic ***,we get the stochastic de- composition structure of queue length in the station- ary state and the distribution for additional queue ***,we indicate the equation that LST of regular busy period satisfies,the expectation of regular busy period,bnsy cycle and global working vacation.