一类具有到达损失、第二次多选服务、反馈的M/G／1重试排队系统

摘要

考虑了一个具有到达损失、第二次多选服务、反馈和一般重试时间的M/G/1排队模型.假定重试区域中只有队首的顾客允许重试.重试时间具有一般分布时,得到了系统稳态的充分必要条件.使用补充变量法和状态转移方程分析该模型,求得稳态时系统队长和重试区域中队长分布及相关指标.%We study a M/G/1 queue system with loss of arrival, more than one choose after the first service, feedback and general retrial times. It is assumed that only the customer at the head of the queue has priority access to the server. For an arbitrarily distributed retrial time distribution, the necessary and sufficient condition for the stable sys tem is obtained. By using the supplemental variable method and the state transfer analysis, the steady-state distribu tions of the number of customers in the system and the queue are obtained along with other performance measures.