• Title/Summary/Keyword: Optimal Inventory Level

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Determining of an Optimal Spares Stocking Policy with Reliability Improvement

  • Jun Hong Kim
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.56
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    • pp.1-8
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    • 2000
  • We present in this paper an optimal stocking policy for a repairable inventory system under reliability improvement. For this purpose we illustrate commercial flight lines with a large number of planes. This model is supported by a central repair facility. For modeling the nonstationary M/M/s system we implemented SIMAN for computing the time dependent number of units in the repair facility with any number of units. In this model we provide the required inventory level at each location. 1y month. for various levels of associated stock-out risk.

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Sensitivity Analysis for a Make-to-Order Inventory-Production System with Limited Order Acceptance Level (제한된 주문허용 수준을 갖는 주문공산 재고시스템을 위한 민감도 분석)

  • Kim Eungab;Kim Jiseung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.30 no.2
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    • pp.117-129
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    • 2005
  • This paper considers a make-to-order inventory-production system in which customer orders are admitted only when the number of outstanding customer orders is below a value committed by the system. We deal with general distributions for the customer order Inter-arrival, production, and replenishment lead time processes. Monotonicities of the optimal average cost with respect to these distribution parameters are established using sample path coupling arguments. When distributions are given as an exponential one, we implement a sensitivity analysis on the optimal inventory policy and show that it has monotonicities with respect to system costs using dynamic programming.

Optimum Inventory Level and optimal Selling Price to Realize a Pre-determined Level of Profit

  • Kang, Suk-Ho;Noh, Seung-Jong
    • Journal of Korean Institute of Industrial Engineers
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    • v.12 no.1
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    • pp.43-48
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    • 1986
  • In this paper, the one period multi-item inventory model is considered in which it is required to determine the production quantity and selling price of each item which maximize the probability of realizing predetermined level of profit. The objective function of this model is the sum of weighted probabilities which represent the possibility of obtaining the predetermined level of profit for each item. Budget constraint, inventory site constraint and constraints of price are considered. Finally this paper shows a numerical example in which random demand of each item has exponential distribution.

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Optimal Inventory Level of Bicycle Sharing Service Considering Operation Costs (운영비용을 고려한 자전거 쉐어링의 최적 재고수준)

  • Kim, Jin-Sik;Lee, Chul-Ung
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.1
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    • pp.163-173
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    • 2015
  • In this paper, it shows optimal inventory level of bicycle sharing service terminal by maintaining the lowest costs. As the interest to environment and exhaustion of resource increases globally, investment to sustainable transportation increases around advanced countries and interest to efficient transportation, managing and consuming of vehicle increases also. Vehicle sharing service is a model of rental car where customer rent cars for short periods of time often by the hour and its users are increasing for the reason that it is more convenient than car rent. In addition, bicycle sharing service is one of the major parts in vehicle sharing program and many of country are already managing it. This paper proposes optimal inventory levels of vehicle sharing service's terminal by using simulation calculating operation costs of vehicle sharing service.

An (s, S) spare-part inventory model with general leadtime (일반적인 조달기간을 갖는 (s, S) 예비품 재고 모형)

  • 박원재;박영택
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1996.04a
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    • pp.285-288
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    • 1996
  • This paper deals with an (s, S) spare-part inventory model with general leadtime. In the model, if the inventory level falls to a reorder point s, a replenishment order quantity Q is ordered. Assumming that the number of operating units is one and the lifetime of a unit follows an exponential distribution, we derive the expected cost rate and suggest a procedure to obtain the optimal pair of (s, S) minimizing the cost rate.

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Stochastic Order Level Inventory System with Dependent Lead Times (제품인도기간에 함수인 확률적 주문수준 재고정책에 관한 연구)

  • Kim, Yeong-Min
    • Journal of Korean Society for Quality Management
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    • v.14 no.1
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    • pp.33-38
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    • 1986
  • This paper deals with probabilistic order level inventory system which the quantity ordered at the end of the scheduling period is dependent on lead times. To find an optimal solution, pearson system of distributions is used to approximate the probability density function of the on-order quantity. An example is solved and sensitivity analysis is performed to examine the relation between lead times and the ordering quantity.

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The Optimal Base-Stock Level in Assembly lines (조립 생산 시스템에서 최적 Base-Stock 수준)

  • Ko, Sung-Seok;Seo, Dong-Won
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.30 no.3
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    • pp.89-93
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    • 2007
  • In this study, we consider an assembly line operated under a base-stock policy. A product consists of two parts, and a finished product transfers to a warehouse in which demands are satisfied. Assume that demands arrive according to a Poisson process and processing times at each production line are exponentially distributed. Whenever a demand arrives, it is satisfied immediately from an inventory in the warehouse if available; otherwise, it is backlogged and satisfied later by the next product exiting from production lines. In either case, an arriving demand automatically triggers the production of a part at both production lines. These two parts will be assembled into a product that eventually transfers to the warehouse. We obtain a closed form formula of approximation for delay time or lead time distribution of a demand when a base- stock level is s. Moreover, it can be applied to the optimal base-stock level which minimizes the total inventory cost. Numerical examples are presented to show our optimal base-stock level's quality.

A study on Inventory Policy (s, S) in the Supply Chain Management with Uncertain Demand and Lead Time (불확실한 수요와 리드타임을 갖는 공급사슬에서 (s,S) 재고정책에 관한 연구)

  • Han, Jae-Hyun;Jeong, Suk-Jae
    • Journal of the Korea Safety Management & Science
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    • v.15 no.1
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    • pp.217-229
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    • 2013
  • As customers' demands for diversified small-quantity products have been increased, there have been great efforts for a firm to respond to customers' demands flexibly and minimize the cost of inventory at the same time. To achieve that goal, in SCM perspective, many firms have tried to control the inventory efficiently. We present an mathematical model to determine the near optimal (s, S) policy of the supply chain, composed of multi suppliers, a warehouse and multi retailers. (s, S) policy is to order the quantity up to target inventory level when inventory level falls below the reorder point. But it is difficult to analyze inventory level because it is varied with stochastic demand of customers. To reflect stochastic demand of customers in our model, we do the analyses in the following order. First, the analysis of inventory in retailers is done at the mathematical model that we present. Then, the analysis of demand pattern in a warehouse is performed as the inventory of a warehouse is much effected by retailers' order. After that, the analysis of inventory in a warehouse is followed. Finally, the integrated mathematical model is presented. It is not easy to get the solution of the mathematical model, because it includes many stochastic factors. Thus, we get the solutions after the stochastic demand is approximated, then they are verified by the simulations.

A Study on the Repair Parts Inventory Cost Estimation and V-METRIC Application for PBL Contract (PBL 계약을 위한 수리부속 재고비용 예측과 V-METRIC의 활용에 관한 연구)

  • Kim, Yoon Hwa;Lee, Sung Yong
    • Journal of the Korean Society of Systems Engineering
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    • v.13 no.1
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    • pp.79-88
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    • 2017
  • For the PBL contract, it is necessary for the contracting parties to share information regarding the reasonable inventory-level and the cost of its repair parts for the estimated demand. There are various models which can be used for this purpose. Among them, V-METRIC model is considered to be the most efficient and is most frequently applied. However, this model is usually used for optimizing the inventory level of the repair parts of the system under operation. The model uses a time series forecast model to determine the demand rate, which is a mandatory input factor for the model, based on past field data. However, since the system at the deployment stage has no operational performance record, it is necessary to find another alternative to be used as the demand rate of the model application. This research applies the V-METRIC model to find the optimal inventory level and cost estimation for repairable items to meet the target operational availability, which is a key performance indicator, at the time of the PBL contract for the deployment system. This study uses the calculated value based on the allocated MTBF to the system as the demand rate, which is used as input data for the model. Also, we would like to examine changes in inventory level and cost according to the changes in target operational availability and MTBF allocation.

Reinforcement leaning based multi-echelon supply chain distribution planning (강화학습 기반의 다단계 공급망 분배계획)

  • Kwon, Ick-Hyun
    • Journal of the Korea Safety Management & Science
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    • v.16 no.4
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    • pp.323-330
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    • 2014
  • Various inventory control theories have tried to modelling and analyzing supply chains by using quantitative methods and characterization of optimal control policies. However, despite of various efforts in this research filed, the existing models cannot afford to be applied to the realistic problems. The most unrealistic assumption for these models is customer demand. Most of previous researches assume that the customer demand is stationary with a known distribution, whereas, in reality, the customer demand is not known a priori and changes over time. In this paper, we propose a reinforcement learning based adaptive echelon base-stock inventory control policy for a multi-stage, serial supply chain with non-stationary customer demand under the service level constraint. Using various simulation experiments, we prove that the proposed inventory control policy can meet the target service level quite well under various experimental environments.