A Discrete-time Queue With Negative Customer

In recent years, on the discrete-time queuing system of work is rapidly evolving, many scholars at home and abroad are to study the theory in this area, particularly digital information systems and communication systems involved in the massive queues.Over the last the two decades,queueing systems with negative arrivals(of mainly negative customers or diasters)have been studied extensively and applied to computer networks,communication systems,and manufacturing systems.Two typical removal disciplines considered in the literature are the removal of a customer at the end (RCE) and the removal of a customer at the head (RCH). This paper is based mainly on the model with negative customer, as well as some models by our predecessors,including the MMBP/Geo/1 queue in discrete-time with negative customers and the MMBP/GI/1 queue in discrete-time with negative customers.In this paper we consider the removal discipline that a negative customer only removes the positive customer who is being served.By solving we can get some parameter index about the two queueing systems,for example,buffer contents,unfinished work and cell delay. IV...