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조정가능한 대기모형에 {T:Min(T,N)} 운용방침이 적용되었을 때의 시스템분석
이한교 한국산업경영시스템학회 2015 한국산업경영시스템학회지 Vol.38 No.1
A steady-state controllable M/G/1 queueing model operating under the {T:Min(T,N)} policy is considered where the {T:Min(T,N)} policy is defined as the next busy period will be initiated either after T time units elapsed from the end of the previous busy period if at least one customer arrives at the system during that time period, or after T time units elapsed without a customer’ arrival, the time instant when Nth customer arrives at the system or T time units elapsed with at least one customer arrives at the system whichever comes first. After deriving the necessary system characteristics including the expected number of customers in the system, the expected length of busy period and so on, the total expected cost function per unit time for the system operation is constructed to determine the optimal operating policy. To do so, the cost elements associated with such system characteristics including the customers’ waiting cost in the system and the server’s removal and activating cost are defined. Then, procedures to determine the optimal values of the decision variables included in the operating policy are provided based on minimizing the total expected cost function per unit time to operate the queueing system under considerations.
삼변수운용방침이 적용되는 M/G/1 대기모형에서 가상확률밀도함수를 이용한 busy period의 기대값 유도
이한교,오현승 한국산업경영시스템학회 2007 한국산업경영시스템학회지 Vol.30 No.2
The expected busy period for the controllable M/G/1 queueing model operating under the triadic policy is derived by using the pseudo probability density function which is totally different from the actual probability density function. In order to justify the approach using the pseudo probability density function to derive the expected busy period for the triadic policy, well-known expected busy periods for the dyadic policies are derived from the obtained result as special cases.
Busy period 기대값을 사용하여 삼변수 Min(N, T, D)와 Max(N, T, D) 운용방침사이의 관계식 설정
이한교 한국산업경영시스템학회 2010 한국산업경영시스템학회지 Vol.33 No.3
Based on the known results of the expected busy periods for the triadic Min (N, T, D) and Max (N, T, D) operating policies applied to a controllable M/G/1 queueing model, a relation between them is constructed. Such relation is represented in terms of the expected busy periods for the simple N, T and D, and the dyadic Min (N, T), Min (T, D) and Min (N, D) operating policies. Hence, if any system characteristics for one of the two triadic operating policies are known, unknown corresponding system characteristics for the other triadic operating policy could be obtained easily from the constructed relation.
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) 운용방침이 적용되는 조정가능한 M/G/1 대기모형의 busy period의 기대값 유도
이한교ㆍ오현승 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
Development of a Stochastic Group Replacement Model for Two Independent Equipments
이한교,Rhee, Hahn-Kyou Korean Institute of Industrial Engineers 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.