• Title/Summary/Keyword: Optimal rate

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Optimal Periodic Preventive Maintenance Schedule When Preventive Maintenance is Imperfect (예방보전이 불완전할 때 최적 주기적 예방보전 계획)

  • Kim, Dae-Kyung;Shin, Sang-Wook;Lim, Jae-Hak
    • Journal of Korean Society for Quality Management
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    • v.35 no.4
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    • pp.140-146
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    • 2007
  • In this paper, we consider a periodic imperfect preventive maintenance(PM) policy in which the system's failure rate after each PM remains unchanged. The system undergoes only minimal repairs at failures between PMs. Exact mathematical formula of the expected cost rate per unit time is derived. Optimal number of PMs and optimal maintenance period are derived by minimizing the expected cost rate per unit time. A numerical example is provided to illustrate the proposed approach under Weibull lifetime distribution.

Optimal Preventive Maintenance Policy for a Repairable System (수리 가능한 시스템에서의 최적 예방 보전 정책)

  • Ji Hwan Cha;Jong Tae Jung;Jae Joo Kim
    • Journal of Korean Society for Quality Management
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    • v.29 no.2
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    • pp.46-53
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    • 2001
  • In this paper, a preventive maintenance(PM) policy for a repairable system is considered. The failure rate model proposed by Park et at.(2000) is generalized by assuming that after each PM not only the PM slows down the degradation process of the system but also reduces down the system failure rate by a certain fixed amount. Long-run expected cost rate of the PM policy is derived and the properties of joint solution of the optimal PM period and optimal number of PM which minimizes the expected cost rate are obtained. Numerical examples for the case of a Weibull-type failure rate are given.

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OPTIMAL CONTROL OF A QUEUEING SYSTEM WITH $P^M_{\lambda}$-SERVICE POLICY

  • Kim, Sung-Gon;Bae, Jong-Ho
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.45-55
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    • 2008
  • We consider an M/G/1 queue with $P^M_{\lambda}$-service policy, which is a two-stage service policy. The server starts to serve with rate 1 if a job arrives to the sever in idle state. If the workload of the system upcrosses $\lambda$, then the service rate is changed to M and this rate continues until the system is empty. It costs to change the service rate to M and maintaining the rate. When the expectation of the stationary workload is supposed to be less than a given value, we derive the optimal value of M.

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A Study on Optimal Preventive Maintenance Policy When Failure Rate is Exponentially Increasing After Repair (수리 후 고장률이 지수적으로 증가하는 경우에 최적 예방보전 정책)

  • Kim, Tae-Hui;Na, Myung-Hwan
    • Journal of Applied Reliability
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    • v.11 no.2
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    • pp.167-176
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    • 2011
  • This paper introduces models for preventive maintenance policies and considers periodic preventive maintenance policy with minimal repair when the failure of system occurs. It is assumed that minimal repairs do not change the failure rate of the system. The failure rate under prevention maintenance received an effect by a previously prevention maintenance and the slope of failure rate increases the model where it considered. Also the start point of failure rate under prevention maintenance considers the degradation of system and that it increases quotient, it assumed. Per unit time it bought an expectation cost from under this prevention maintenance policy. We obtain the optimal periodic time and the number for the periodic preventive maintenance by using Nakagawa's Algorithm, which minimizes the expected cost per unit time.

A Study on the Efficient Applicability of Fenton Oxidation for the Wastewater Containing Non-biodegradable Organics (생물난분해성 유기물질 함유 폐수처리를 위한 Fenton 산화법의 효율적 적용방안에 관한 연구)

  • Jun, Se Jin;Kim, Mi Jeong
    • Journal of Korean Society of Water and Wastewater
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    • v.14 no.1
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    • pp.76-83
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    • 2000
  • This research is about wastewater containing non-biodegradable TDI(Toluene Diisocyanate) that is treated by the activated carbon adsorption method. In the case of the Fenton oxidation process being applied to the existing process, optimal pH, reaction time, chemical dosing amount, removal rate, and cost were investigated. A pilot plant test was applied after finding optimal conditions with lab experiments. The optimal conditions were pH 3~5(COD removal rate 84~88%) and reaction time 30min~1hr. In higher $H_2O_2$ dosing amount, COD removal rate was a little higher. But there was little difference in the removal rate according to $FeSO_4{\cdot}7H_2O$ dosing amount. Treatment cost was economical in the case of the Fenton oxidation process being operated earlier than activated carbon adsorption system. But chemical dosing point, chemical mixing effect, chemical dosing amount, removal rate, and the cost of facility and others must be considered in practical process.

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A Comparative Analysis between Inflow rate Maximizing and Outflow rate Maximizing for the Urban Expressway Ramp Metering (도시고속도로 램프미터링을 위한 진입극대화방안과 진출극대화방안의 비교 연구)

  • 이인원;김대호
    • Journal of Korean Society of Transportation
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    • v.14 no.4
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    • pp.7-29
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    • 1996
  • The optimal solution obtained by a linear programming model is to maximize the ramp inflow rate. It is argued in this paper that the maximization of inflow rate is different from the maximization of outflow rate under congested conditions. Therefore, this paper proposes a systematic searching procedure from a linear programing formulation to a integer programming : first obtain the optimal solution by a linear programming and then adding weight to linear programming then. solve the optimal solution again by integer programming i.e. The proposed method is an interactive approach. Measure of effectiveness by simulation models regards the real time data(O/D, queue, delay, etc), can be utilized in the proposed interactive process.

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Inventory Models for Fresh Agriculture Products with Time-Varying Deterioration Rate

  • Ning, Yufu;Rong, Lixia;Liu, Jianjun
    • Industrial Engineering and Management Systems
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    • v.12 no.1
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    • pp.23-29
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    • 2013
  • This paper presents inventory models for fresh agriculture products with time-varying deterioration rate. Due to the particularity of fresh agriculture products, the demand rate is a function that depends on sale price and freshness. The deterioration rate increases with time and is assumed to be a time-varying function. In the models, the inventory cycle may be constant or variable. The optimal solutions of models are discussed for different freshness and the deterioration rate. The results of experiments show that the profit depends on the freshness and deterioration rate of products. With the increasing inventory cycle, the sale price and profit increase at first and then start decreasing. Furthermore, when the inventory cycle is variable, the total profit is a binary function of the sale price and inventory cycle. There exist unique sale price and inventory cycle such that the profit is optimal. The results also show that the optimal sale price and inventory cycle depend on the freshness and the deterioration rate of fresh agriculture products.

A Study on the Maintenance Policy Considering the Failure Data of the EMU Braking System and the Cost Function (전동차 제동장치의 고장데이터와 비용함수를 고려한 유지보수 정책에 관한 연구)

  • Han, Jae-Hyun;Kim, Jong-Woon;Koo, Jeong-Seo
    • Journal of the Korean Society of Safety
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    • v.30 no.3
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    • pp.13-19
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    • 2015
  • Railway vehicle equipment goes back again to the state just before when failure by the repair. In repairable system, we are interested in the failure interval. As such, a statistical model of the point process, NHPP power law is often used for the reliability analysis of a repairable system. In order to derive a quantitative reliability value of repairable system, we analyze the failure data of the air brake system of the train line 7. The quantitative value is the failure intensity function that was modified, converted into a cost-rate function. Finally we studied the optimal number and optimal interval in which the costs to a minimum consumption point as cost-rate function. The minimum cost point was 194,613 (won/day) during the total life cycle of the braking system, then the optimal interval were 2,251days and the number of optimal preventive maintenance were 7 times. Additionally, we were compared to the cost of a currently fixed interval(4Y) and the optimum interval then the optimal interval is 3,853(won/day) consuming smaller. In addition, judging from the total life, "fixed interval" is smaller than 1,157 days as "optimal interval".

The Study on the Optimal Operating Conditions of Direct Charging Type Electrospray for Particulate Matter Collection (미세먼지 집진을 위한 직접 하전 방식 정전분무의 최적 동작 조건에 관한 연구)

  • Sugi Choi;Sunghwan Kim;Haiyoung Jung
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.36 no.5
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    • pp.474-481
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    • 2023
  • This paper is an experimental study on the optimal operating conditions of direct charging type electrospray for particulate matter collection. To perform the research, a direct charging type electrospray visualization system was configured to photograph the spray shape of microdroplets, and experiments were performed with varying electrode distance, flow rate, and applied voltage, which are the main factors affecting the particulate matter collection efficacy. Through image processing, the total number of microdroplets according to each condition was analyzed, and the number of microdroplets with a diameter of 1.5 mm or less was confirmed. In addition, by calculating the number of microdroplets per power consumption according to the applied voltage, the optimal operating conditions were derived in terms of energy consumption efficacy, and the microdroplet size distribution was analyzed under the optimal operating conditions. As a result of the experiment, it was confirmed that the optimal operating condition was at a flow rate of 10 mL/min and a voltage of -20 kV in case of 5 mm electrode distance, and at a flow rate of 15 mL/min and a voltage of -30 kV in case of 100 mm electrode distance.

Estimating Optimal Harvesting Production of Yellow Croaker Caught by Multiple Fisheries Using Hamiltonian Method (해밀토니안기법을 이용한 복수어업의 참조기 최적어획량 추정)

  • Nam, Jong-Oh;Sim, Seong-Hyun;Kwon, Oh-Min
    • The Journal of Fisheries Business Administration
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    • v.46 no.2
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    • pp.59-74
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    • 2015
  • This study aims to estimate optimal harvesting production, fishing efforts, and stock levels of yellow croaker caught by the offshore Stow Net and the offshore Gill Net fisheries using the current value Hamiltonian method and the surplus production model. As analyzing processes, firstly, this study uses the Gavaris general linear model to estimate standardized fishing efforts of yellow croaker caught by the above multiple fisheries. Secondly, this study applies the Clarke Yoshimoto Pooley(CY&P) model among the various exponential growth models to estimate intrinsic growth rate(r), environmental carrying capacity(K), and catchability coefficient(q) of yellow croaker which inhabits in offshore area of Korea. Thirdly, the study determines optimal harvesting production, fishing efforts, and stock levels of yellow croaker using the current value Hamiltonian method which is including average landing price of yellow croaker, average unit cost of fishing efforts, and social discount rate based on standard of the Korean Development Institute. Finally, this study tries sensitivity analysis to understand changes in optimal harvesting production, fishing efforts, and stock levels of yellow croaker caused by changes in economic and biological parameters. As results drawn by the current value Hamiltonian model, the optimal harvesting production, fishing efforts, and stock levels of yellow croaker caught by the multiple fisheries were estimated as 19,173 ton, 101,644 horse power, and 146,144 ton respectively. In addition, as results of sensitivity analysis, firstly, if the social discount rate and the average landing price of yellow croaker continuously increase, the optimal harvesting production of yellow croaker increases at decreasing rate and then finally slightly decreases due to decreases in stock levels of yellow croaker. Secondly, if the average unit cost of fishing efforts continuously increases, the optimal fishing efforts of the multiple fisheries decreases, but the optimal stock level of yellow croaker increases. The optimal harvest starts climbing and then continuously decreases due to increases in the average unit cost. Thirdly, when the intrinsic growth rate of yellow croaker increases, the optimal harvest, fishing efforts, and stock level all continuously increase. In conclusion, this study suggests that the optimal harvesting production and fishing efforts were much less than actual harvesting production(35,279 ton) and estimated standardized fishing efforts(175,512 horse power) in 2013. This result implies that yellow croaker has been overfished due to excessive fishing efforts. Efficient management and conservative policy on stock of yellow croaker need to be urgently implemented.