• Title/Summary/Keyword: cost rate function

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A Solution Procedure for Minimizing AS/RS Construction Costs under Throughput Rate Requirement Constraint (작업처리능력 제약하에서 자동창고 건설비용 최소화를 위한 연구)

  • 나윤균;이동하;오근태
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.25 no.4
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    • pp.40-45
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    • 2002
  • An AS/RS construction cost minimization model under throughput rate requirement constraint has been developed, whose objective function includes S/R machine cost, storage rack cost, and interrace conveyor cost. S/R machine cost is a function of the storage rack height, the unit load weight, and the control logic used by the system, while storage rack cost is a function of the storage rack height, the weight and the volume of the unit load. Since the model is a nonlinear integer programming problem which is very hard to solve exactly with large problem size, a solution procedure is developed to determine the height and the length of the storage rack with a fixed number of S/R machines, while increasing the number of S/R machines one by one to meet the throughput rate requirement.

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".

A Study of Optimal Maintenance Schedules of a System under the Periodic Inspection Policy (주기적인 검사 정책하에서 최적예방 교체시기 결정에 관한 연구)

  • 정현태;김제승
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.44
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    • pp.263-271
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    • 1997
  • This paper presents a preventive maintenance model for determining the preventive replacement period of a system in which a failure rate is affected by the cumulative damage of fault and inspection. Especially, the failure rate function is considered to be a function of the cumulative damage of the fault and inspection time. Types of replacement considered are preventive replacement and failure replacement. Failure rate and expected cost function between replacement are derived. An optimal policy is obtained that minimizes the average cost per unit time for preventive replacement, failure replacement, inspection and repair.

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Robust EOQ Models with Decreasing Cost Functions (감소하는 비용함수를 가진 Robust EOQ 모형)

  • Lim, Sung-Mook
    • Journal of the Korean Operations Research and Management Science Society
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    • v.32 no.2
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    • pp.99-107
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    • 2007
  • We consider (worst-case) robust optimization versions of the Economic Order Quantity (EOQ) model with decreasing cost functions. Two variants of the EOQ model are discussed, in which the purchasing costs are decreasing power functions in either the order quantity or demand rate. We develop the corresponding worst-case robust optimization models of the two variants, where the parameters in the purchasing cost function of each model are uncertain but known to lie in an ellipsoid. For the robust EOQ model with the purchasing cost being a decreasing function of the demand rate, we derive the analytical optimal solution. For the robust EOQ model with the purchasing cost being a decreasing function of the order quantity, we prove that it is a convex optimization problem, and thus lends itself to efficient numerical algorithms.

LCC Optimization for Reinforced Concrete Structures under Seismic Hazards

  • Park, Soon-Kyu
    • KCI Concrete Journal
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    • v.13 no.2
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    • pp.26-32
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    • 2001
  • A simple expected damage cost model is developed and a systematic approach to evaluate the economic effects of seismic hazards to reinforced concrete structures is presented. An expected damage cost function during a specific lifetime is modeled by a Poisson's process with uniform continuous cash flow assumption. It is possible that the proposed method can decouple the damage cost effect from random earthquake events. Thus, expected damage cost function can be formulated as a combination of three independent terms; a present worth factor of Poisson's process, a damage cost interpolation function and a mean occurrence rate of earthquake intensity. The validity of the proposed method is demonstrated by a comparative study of LCC evaluations with the previous study.

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Consideration of Appropriate Thermal Storage Time of Air-Conditioning System with Slab Thermal Storage in an Office Building by Use of Measurement Value (실측치를 통한 사무소건물 슬래브축열 공조시스템의 적정 축열시간 검토)

  • Jung, Jae-Hoon
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.22 no.10
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    • pp.719-726
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    • 2010
  • In this paper, the appropriate thermal storage time of an air-conditioning system with slab thermal storage was considered by use of summer measurement values. Two standards of heat extraction rate and criterion function were established as the standard that evaluates appropriateness. When heat extraction rate was a standard, zero hour and seven hours were obtained as appropriate thermal storage time, in the case of evaluation by energy consumption and running cost individually. Also, when criterion function was a standard, the difference between energy consumption and running cost was small, it was because the weight function to room air temperature deviation was much bigger than heat extraction rate.

Replacement Model Based on Cost and Downtime

  • Jung, Ki-Mun;Han, Sung-Sil;Lim, Jae-Hak
    • Journal of the Korean Data and Information Science Society
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    • v.14 no.4
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    • pp.889-901
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    • 2003
  • In this paper, we consider the optimal replacement policies following the expiration of the combination warranty. The combination warranty can be divided into the renewing combination warranty and the non-renewing combination warranty. The criterion used to determine the optimal replacement period is the overall value function based on the expected cost and the expected downtime. Thus, we obtain the expected cost rate per unit time and the expected downtime per unit time for our model. And then the overall value function suggested by Jiagn and Ji(2002) is applied to obtain the optimal replacement period. The numerical examples are presented for illustrative purpose.

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A Study of Natural Air Drying of Rough Rice Leading to Optimization -Part II - Optimum Grain Depth and Least Cost System- (시물레이숀에 의한 상온통풍건조방법(常温通風乾燥方法)의 적정화(適正化)에 관(關)한 연구 -Part II : 최적퇴적(最適堆積)깊이와 최소건조비용(最少乾燥費用))

  • Chung, Chang Joo;Koh, Hak Kyun;Noh, Sang Ha;Han, Yong Jo
    • Journal of Biosystems Engineering
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    • v.7 no.1
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    • pp.42-52
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    • 1982
  • This study was intended to develop a cost function for the natural air in-bin drying: system which could lead to an optimization of the drying system cost. Based on the cost function developed, a series of simulated drying tests were conducted with 10-year weather data (1970~1979) for 7 different regions by applying an appropriate levels of system factors. System performance factors treated in this study were initial moisture content, airflow rate, bin diameter and grain depth. An optimization procedure to find the least cost system was developed as follows: First, the worst year of the past decade was determined in consideration of the dryiang time and maximum dry matter loss. Second, the minimum airflow rate for a fixed bin diameter and grain depth was determined. Third, the optimum grain depth was found for the minimum airflow rate with different initial moisture contents and bin diameters. The results obtained in this study are summarized as follows: 1. The optimization procedure developed in this study was able to reduce the time and efforts significantly. 2. Optimum values of drying parameters including airflow rate, grain depth, and fan size were determined for different initial moisture contents and bin diameters in each region. The results are shown in Tables 3 to 9. 3. Optimum grain depths decreased as the initial moisture content and airflow rate increased. 4. Drying time for the least cost system should be reduced with higher initial moisture content and lower drying potential to prevent grain spoilage. 5. The fixed cost was 65 to 75 percent of the total system cost and the variable cost was 25 to 35 percent. To reduce the fixed cost it is desirable to use a drying bin 2 or 3 times a year.

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A Maintenance Policy Determination of Dependent k-out-of-n:G System with Setup Cost (초기설치비를 고려한 의존적 k-out-of-n:G 시스템의 보전정책 결정)

  • 조성훈;안동규;성혁제;신현재
    • Journal of the Korean Society of Safety
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    • v.14 no.2
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    • pp.155-162
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    • 1999
  • reliability from components reliability. In this case, it assumes that components failure is mutually independent, but it may not true in real systems. In this study, the mean cost per unit time is computed as the ratio of mean life to the mean cost. The mean life is obtained by the reliability function under power rule model. The mean cost is obtained by the mathematical model based on the inspection interval. A heuristic method is proposed to determine the optimal number of redundant units and the optimal inspection interval to minimize the mean cost per unit time. The assumptions of this study are as following : First, in the load-sharing k-out-of-n:G system, total loads are applied to the system and shared by the operating components. Secondly, the number of failed components affects the failure rate of surviving components as a function of the total load applied. Finally, the relation between the load and the failure rate of surviving components is set by the power rule model. For the practical application of the above methods, numerical examples are presented.

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A Solution Procedure for Designing Automated Storage/Retrieval Systems (자동창고 설계를 위한 최적화 모델 및 해법에 관한 연구)

  • 나윤균
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.18 no.34
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    • pp.9-14
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    • 1995
  • A cost minimization model for designing AS/RS (Automated Storage/Retrieval Systtems) has been developed under the S/R (Storage/Retrieval) machine throughput rate and total storage capacity requirements. The objective function includes S/R machine cost storage rack cost, and interface conveyor cost. Since the model is a nonlinear integer programming problem which is very hard to solve with large problem size, the model is simplified using previous research results to be solved exactly and a simultion procedure is combined to verify that throughput rate requirements are satisfied.

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