系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2014年
3期
746~755
,共null页
修理设备 N-策略 可更换 排队指标 可靠性指标
脩理設備 N-策略 可更換 排隊指標 可靠性指標
수리설비 N-책략 가경환 배대지표 가고성지표
repair facility; N-policy; replaceable; queueing index; reliability index
本文把“修理设备可发生故障”引入到N-策略M/G/1可修排队系统中,考虑了修理设备可更换的N-策略M/G/1可修排队系统.通过引进服务台的“广义修理时间”、顾客的“广义服务时间”和修理设备的“广义忙期”,讨论了系统的排队指标和服务台的可靠性指标.同时,使用全概率分解方法,利用拉普拉斯变换工具,重点讨论了修理设备的不可用度和在(0,t)纠时间内的平均更换次数,并给出了数值计算实例.最后,本文在给定的费用结构下讨论了最优策略N^*。的求解问题,并给出了数值计算例子。
本文把“脩理設備可髮生故障”引入到N-策略M/G/1可脩排隊繫統中,攷慮瞭脩理設備可更換的N-策略M/G/1可脩排隊繫統.通過引進服務檯的“廣義脩理時間”、顧客的“廣義服務時間”和脩理設備的“廣義忙期”,討論瞭繫統的排隊指標和服務檯的可靠性指標.同時,使用全概率分解方法,利用拉普拉斯變換工具,重點討論瞭脩理設備的不可用度和在(0,t)糾時間內的平均更換次數,併給齣瞭數值計算實例.最後,本文在給定的費用結構下討論瞭最優策略N^*。的求解問題,併給齣瞭數值計算例子。
본문파“수리설비가발생고장”인입도N-책략M/G/1가수배대계통중,고필료수리설비가경환적N-책략M/G/1가수배대계통.통과인진복무태적“엄의수리시간”、고객적“엄의복무시간”화수리설비적“엄의망기”,토론료계통적배대지표화복무태적가고성지표.동시,사용전개솔분해방법,이용랍보랍사변환공구,중점토론료수리설비적불가용도화재(0,t)규시간내적평균경환차수,병급출료수치계산실례.최후,본문재급정적비용결구하토론료최우책략N^*。적구해문제,병급출료수치계산례자。
This paper considers the M/G/1 queueing system with N-policy and a replaceable repair facility in which the "repair facility subject to breakdowns" is introduced. By introducing into the "generalized repair time" of the service station, "generalized service time" of the customer and "generalized busy period" of the repair facility, we discuss the queueing indices of the system and the reliability indices of the service station. Meanwhile, the emphasis is upon obtained some reliability indices of the repair facility, such as the unavailability and the expected replacement number during (0, t) by using the total probability decomposition technique and the Laplace transform. Furthermore, some numerical examples are also given. Finally, we discuss the optimum policy N^* and give an numerical example under the assumed cost structure model.