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Development of a Stochastic Group Replacement Model for Two Independent Equipments
이한교,Rhee, Hahn-Kyou 대한산업공학회 1999 산업공학 Vol.12 No.1
A system consisting of two continuously and independently operating equipment subject to breakdown and repair, is considered. It is assumed that both equipment age only when in operation, and a group replacement policy is in effect, that is, both equipment are replaced simultaneously by new identical ones as soon as either of them reaches a specified replacement age. First, a system of partial differential equations based on enumerating the various probabilistic events, is derived. Then, solutions of such system of equations for a model considered in the steady-state are obtained. Finally, an economic analysis is performed to determine the optimal replacement ages of both equipment.
조정가능한 M/G/1 대기모형에 삼변수 Min(N, T, D) 운용방침이 적용될 때 busy period 기대값의 상한과 하한 유도
이한교 한국산업경영시스템학회 2010 한국산업경영시스템학회지 Vol.33 No.2
Us ing the known result of the expected bllsy period for the triadic Min (N, T, 0) operating po licy applied to a controllable M/GI1 queueing model, its upper and lower bounds are derived to approximate its corresponding ac tual value. 80th bounds are rep
가상확률밀도함수를 사용하여 Max(N, T, D) 운5방침이 적용되는 조정가능한 M/G/1 대기모형의 busy period의 기대값 유도
이한교,오현승,Rhee, Hahn-Kyou,Oh, Hyun-Seung 한국산업경영시스템학회 2008 한국산업경영시스템학회지 Vol.31 No.4
The expected busy period for the controllable M/G/1 queueing model operating under the triadic Max (N, T, D) policy is derived by using a new concept so called "the pseudo probability density function." In order to justify the proposed approaches for the triadic policy, well-known expected busy periods for the dyadic policies are recovered from the obtained result as special cases.
가상확률밀도함수를 사용하여 Max(N, T, D) 운용방침이 적용되는 조정가능한 M/G/1 대기모형의 busy period의 기대값 유도
이한교,오현승 한국산업경영시스템학회 2008 한국산업경영시스템학회지 Vol.31 No.4
The expected busy period for the controllable M/G/1 queueing model operating under the triadic Max (N, T, D) policy is derived by using a new concept so called “the pseudo probability density function.” In order to justify the proposed approaches for the triadic policy, well-known expected busy periods for the dyadic policies are recovered from the obtained result as special cases.
가장 일반화된 형태의 삼변수 운용방침 개발과그에 따른 Busy Period 기대값 유도
이한교,오현승 한국산업경영시스템학회 2009 한국산업경영시스템학회지 Vol.32 No.4
The most generalized form of the triadic operating policy for an M/G/1 queueing model is developed. It consists of three simple N, T and D operating policies and has a peculiar structure possessing concepts of dyadic policies. Using the concept of the pseudo probability density function of the busy period, its expected busy period for the controllable M/G/1 queueing model is derived. Since the obtained result is the most generalized form the triadic polity, the expected busy periods for all known dyadic policies are recovered as special cases from it.