%0 Journal Article
%T Geo/Geo/1 Working Vacation Queue with Nª²policy and Negative Customers
%A GUO Hong-xia
%A XU Xiu-li
%A GENG Jie
%J Journal of Chongqing Normal University
%D 2013
%I Chongqing Normal University
%X This paper is on the basis of a Geom/Geom/1 queue with multiple working vacations£¬in addition to negative customers£¬N policy and set up time.This is a new model.The results obtained the improvement of the conclusions in previous literatures.The working vacation policy means that the servers continue to serve at a lower rate rather than stop service during the vacation£¬which can not only reduce the loss that the impatient customers leaves the queue because of waiting in a long time£¬but also improve the economical efficiency.Negative customers need not accept service£»remove positive customers only one by one at the head when they are served£¬which obeys RCH policy.An embedded Markov chain is used to obtain the state transferring probability matrix.Using quasi birth and death process and matrix geometric solution method£¬the paper gains concise expressions of the steady state distributions for queue length * and obtains the result of stochastic decomposition of the queue length *. (* Indicates a formula, please see the full text)
%K working vacation£»N policy£»set up time£»matrix geometric solution£»stochastic decomposition
%U http://journal.cqnu.edu.cn/1301/pdf/130113.pdf