An M/G/1 Retrial Queue with Negative Arrivals and Unreliable Server

摘要

We study an M/G/1 retrial queue with negative arrivals and repeated attempts. This model is motivated by several practical applications. In multiprocessor computer systems, negative arrivals represent commands to delete some transactions. In Neural networks, primary and negative arrivals represent excitatory and inhibitory signals respectively. Such models can be used in relation with some problems of virus infection.