系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2008年
12期
140~146
,共null页
排队系统 多重休假 更换策略 几何过程 期望效益
排隊繫統 多重休假 更換策略 幾何過程 期望效益
배대계통 다중휴가 경환책략 궤하과정 기망효익
queuing system; multiple vacations; replacement policy; geometric process; expected benefit
针对修理工多重休假的退化可修排队系统,提出了一种新的维修更换模型, 假定服务台是可修的,且服务台逐次故障后的维修时间构成随机递增的几何过程,服务台工作时间构成随机递减的几何过程,在修理工休假时间分别为随机变量和定长的情况下,选取被服务的顾客数N为更换策略,利用几何过程理论建立了系统的维修更换模型,问题是确定最优的N^*,使得系统经长期运行单位时间内期望效益达到最大,并求出了该目标函数的明显表达式, 最后还对结果进行了讨论。
針對脩理工多重休假的退化可脩排隊繫統,提齣瞭一種新的維脩更換模型, 假定服務檯是可脩的,且服務檯逐次故障後的維脩時間構成隨機遞增的幾何過程,服務檯工作時間構成隨機遞減的幾何過程,在脩理工休假時間分彆為隨機變量和定長的情況下,選取被服務的顧客數N為更換策略,利用幾何過程理論建立瞭繫統的維脩更換模型,問題是確定最優的N^*,使得繫統經長期運行單位時間內期望效益達到最大,併求齣瞭該目標函數的明顯錶達式, 最後還對結果進行瞭討論。
침대수리공다중휴가적퇴화가수배대계통,제출료일충신적유수경환모형, 가정복무태시가수적,차복무태축차고장후적유수시간구성수궤체증적궤하과정,복무태공작시간구성수궤체감적궤하과정,재수리공휴가시간분별위수궤변량화정장적정황하,선취피복무적고객수N위경환책략,이용궤하과정이론건립료계통적유수경환모형,문제시학정최우적N^*,사득계통경장기운행단위시간내기망효익체도최대,병구출료해목표함수적명현표체식, 최후환대결과진행료토론。
To study deteriorative repairable queuing system with multiple repairman vacations, this paper proposes a kind of new maintenance and replacement model. Supposing that the service station is repairable, the consecutive repair time constitutes an increasing geometric process, meanwhile, the successive survival time constitutes a decreasing geometric process. Under the conditions that the time of repairman vacation is respectively random variable and regular constant, we take the number N of the customer that have been serviced at the service station as its replacement policy, and establish the maintenance and replacement model for this system by using geometric process theory, the problem is to determine the optimal replacement policy N^* such that the long-nm expected benefit per unit time is maximized, the explicit expressions of the objective function is derived in this paper. Finally, we discuss the result also. It will improve the management of engineering practice.