系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2011年
11期
2151~2160
,共null页
离散时间Geo／G／1排队 延迟N-策略 全概率分解技术 队长分布 随机分解 系统容量 设计
離散時間Geo／G／1排隊 延遲N-策略 全概率分解技術 隊長分佈 隨機分解 繫統容量 設計
리산시간Geo／G／1배대 연지N-책략 전개솔분해기술 대장분포 수궤분해 계통용량 설계
discrete-time Geo/G/1 queue; delayed N-policy; total probability decomposition technique; queue length distribution; stochastic decomposition; system capacity design
考虑延迟N-策略离散时间Geo／G／1排队系统，使用全概率分解技术，从任意初始状态出发，研究了队长的瞬态和稳态性质．导出了在任意时刻n瞬态队长分布的Z-变换的递推表达式和稳态队长分布的递推表达式，以及稳态队长的随机分解．最后，通过数值实例，讨论了稳态队长分布对系统参数的敏感性，并阐述了获得便于计算的稳态队长分布的表达式在系统容量设计中有重要的价值．
攷慮延遲N-策略離散時間Geo／G／1排隊繫統，使用全概率分解技術，從任意初始狀態齣髮，研究瞭隊長的瞬態和穩態性質．導齣瞭在任意時刻n瞬態隊長分佈的Z-變換的遞推錶達式和穩態隊長分佈的遞推錶達式，以及穩態隊長的隨機分解．最後，通過數值實例，討論瞭穩態隊長分佈對繫統參數的敏感性，併闡述瞭穫得便于計算的穩態隊長分佈的錶達式在繫統容量設計中有重要的價值．
고필연지N-책략리산시간Geo／G／1배대계통，사용전개솔분해기술，종임의초시상태출발，연구료대장적순태화은태성질．도출료재임의시각n순태대장분포적Z-변환적체추표체식화은태대장분포적체추표체식，이급은태대장적수궤분해．최후，통과수치실례，토론료은태대장분포대계통삼수적민감성，병천술료획득편우계산적은태대장분포적표체식재계통용량설계중유중요적개치．
This paper considers the discrete-time Geo/G/1 queueing system with delayed N-policy. By using the total probability decomposition technique, we study the transient and equilibrium properties of the queue length from the beginning of the any initial state, obtain both the recursion expressions of the z-transformation of the transient queue length distribution at any time n and the recursion expressions of the steady state queue length distribution, and the stochastic decomposition of the queue length at a random point in equilibrium. Finally, by numerical examples, we discuss the sensitivity of the steady state queue length distribution towards system parameters, and illustrate the important value of the expressions of the steady state queue length distribution for calculating conveniently in the system capacity design.
