混合服务方式下的轮询服务系统稳定性条件

本文给出在混合服务方式下 ,轮询服务系统稳定性的通用判定条件 .文中的判定条件不但适用于混合式服务 ,同样适用于单一式服务 ,如穷尽式服务、门限式服务和限定式服务等 .对于没有精确解的轮询服务系统 ,如限定式服务( K≠ 1 ) ,仍然可以利用本文的判定条件来判别系统稳定性 .分析表明 ,以往的轮询服务系统稳定性判定条件均是文中的特例 .

In this paper,the stability conditions, under which the polling systems with mixed serve will be still stable, are investigated, and which is also proper to the polling systems single with single serve, such as exhausted serve, gated serve and limited serve in particular, both queue stability and system stability are considered for those whose exact analysis has not yet been obtained. The analysis indicates that stability conditions previously established by other authors are special cases of the condition established here.

国家自然科学基金重大项目 !( 5 9990 470 );;国家“九五”攻关项目!( 97-75 6 );;沈阳市基金!( 1977_ B2 J0 13 )