• Title/Summary/Keyword: Optimal Inventory Level

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Order-level Inventory Policy with Two Suppliers

  • Hwang, H.;Ko, C.S.
    • Journal of Korean Institute of Industrial Engineers
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    • v.11 no.1
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    • pp.41-49
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    • 1985
  • This paper studies the two supplier inventory system in which order-level inventory policy with constant leadtimes is adopted. An optimal ordering policy to achieve the expected minimum total inventory cost is found by utilizing the concepts of the equivalence relation. Sensitivity analysis of the system parameters, the replenishment cost and the unit price, is done through a numerical example.

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Analysis of the effect of emergency lateral transshipment on a multi-echelon inventory model in SCM Environment (SCM 환경의 다단계 재고모형에서 긴급상호대차의 효과에 관한 연구)

  • Sung Chang Sup;Kim Julie;Jung Su Jin
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2002.05a
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    • pp.742-749
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    • 2002
  • This paper deals with a continuous-review two-echelon inventory model with one-for-one replenishment and Poisson demand where transshipments among retailers are allowed. Two classes of inventory systems are considered by the number of distribution centers(DCs) which provide each retailor with inventory items. 1:N class inventory system and M:N class inventory system respectively. Two-phase model is constructed to find out the optimal inventory positions which minimize supply chain costs. Approximations for customer service levels of the system are evaluated in the first phase, and the optimal inventory positions are found subject to the constraints for service level in the second phase. Simulation tests are performed to assure the effectiveness of the proposed model. The effect of transshipment is evaluated.

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Analysis of Multi-Level Inventory Distribution System for an Item with Low Level of Demand

  • Lee, Jin-Seok;Yoon, Seung-Chul
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.23 no.60
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    • pp.11-22
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    • 2000
  • The main objective of this research is to analyze an order point and an order quantity of a distribution center and each branch to attain a target service level in multi-level inventory distribution system. In case of product item, we use the item with low volume of average monthly demand. Under the continuous review method, the distribution center places a particular order quantity to an outside supplier whenever the level of inventory reaches an order point, and receives the order quantity after elapsing a certain lead time. Also, each branch places an order quantity to the distribution center whenever the level of inventory reaches an order point, and receives the quantity after elapsing a particular lead time. When an out of stock condition occurs, we assume that the item is backordered. For considering more realistic situations, we use generic type of probability distribution of lead times. In the variable lead time model, the actually achieved service level is estimated as the expected service level. Therefore, this study focuses on the analysis of deciding the optimal order point and order quantity to achieve a target service level at each depot as a expected service level, while the system-wide inventory level is minimized. In addition, we analyze the order level as a maximum level of inventory to suggest more efficient way to develop the low demand item model.

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A Sensitivity Analysis of the Optimal Inventory Control for a Vertically Integrated Supply Chain (수직적으로 통합된 공급사슬을 위한 최적 재고 정책의 민감도 분석)

  • Kim, Engab
    • Journal of Korean Institute of Industrial Engineers
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    • v.30 no.3
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    • pp.197-204
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    • 2004
  • This paper deals with a supply chain with a company and its contractor that produces products by the OEM contract with the company. The supply chain of interest has two distinct features. First, the company is the supplier of raw material required in the production at the contractor. Second, the company and its contractor make a delivery shipment arrangement that the replenishment lead time is determined depending on demand process. We show that the optimal inventory policy is monotonically changed as either the replenishment setup cost or inventory holding cost becomes increased or decreased. We also present asymptotic properties of the optimal inventory policy when either the number of outstanding customer orders or the inventory level becomes very large.

An Algorithm for Optimal Inventory Level in Multi - Echelon Repairable - Item Inventory System with General Service Time distribution (일반 서비스 시간 분포를 갖는 다단계 수리가능 재고 시스템에 대한 최적재고수준 알고리듬)

  • Kim, Tai-Young;Kim, Jong-Soo;Hur, Sun
    • Journal of Korean Institute of Industrial Engineers
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    • v.27 no.3
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    • pp.226-232
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    • 2001
  • This paper presents an efficient method for the problem of determining the spare inventory level of a multi-echelon repairable-item inventory system. We consider the system with two levels of inventory, two levels of service and with a general service time distribution. We propose an algorithm that determines the spare inventory level to satisfy the minimum fill rate with the minimum cost. Experimental results show that the algorithm is accurate and efficient.

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An Order Level Inventory Model for Deteriorating Items with Power Pattern Demand

  • Hwang, Hark;Ree, Paek
    • Journal of the Korean Operations Research and Management Science Society
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    • v.5 no.1
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    • pp.53-59
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    • 1980
  • An order level inventory model is developed for deteriorating items. The demand during prescribed scheduling period is constant and deterministic in which the demand follows power pattern. Deterioration is assumed to be a constant fraction of the on hand inventory. The expression for the optimal order level is developed and an example is given to illustrate the model.

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Stock Returns and Market Making with Inventory

  • Park, Seyoung;Jang, Bong-Gyu
    • Management Science and Financial Engineering
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    • v.18 no.2
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    • pp.1-4
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    • 2012
  • We study optimal trading strategy of a market maker with stock inventory. Following Avellaneda and Stoikov (2008), we assume the stock price follows a normal distribution. However, we take a constant expected rate of the stock return and assume that the stock volatility is an inverse function of the stock price level. We show that the optimal bid-ask spread of the market maker is wider for a higher expected rate of stock returns.

An Algorithm to Determine the Spare Inventory Level of Finite Repairable-item Inventory System with Finite Number of Operating Items (유한가동제품을 가진 수리가능시스템의 여유제품수준의 결정)

  • Shin, Kyu-Chul;Kim, Jong-Soo;Hur, Sun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.21 no.48
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    • pp.15-23
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    • 1998
  • This paper concerns the problem of determining the spare inventory level for multi-echelon repairable-item inventory system with finite number of operating items. We consider the system which has several bases and a central depot. When an item fails, it is dispatched to a repair facility and, a spare, if available, is plugged in immediately. When the failed item is repaired, it is sent to the base and either is used to fill a backorder or is stored at a spare inventory point. Using queueing network, we develop an algorithm to find the spare inventory level which minimizes the total expected cost and, simultaneously, satisfies a specified minimum fill rate. The results of the algorithm clearly indicate that the algorithm successfully generate output with optimal solution.

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Robust Newsvendor Model With Random Yield and Customer Balking (불확실한 수율과 고객이탈행위를 고려한 강건한 뉴스벤더 모델)

  • Jung, Uk;Lee, Se Won
    • Journal of Korean Society for Quality Management
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    • v.40 no.4
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    • pp.441-452
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    • 2012
  • Purpose: In this paper, we have considered a problem of newsvendor model in an environment of random yields in quality and customer balking behavior, in which only the mean and the variance of the demand are known. In practice, the distributional information of the demand is very limited and only the mean and variance are guessed by experience. In addition, due to the customers balking behavior occurring when the available inventory level decreases, the product's demand becomes a function of inventory level so that the classical newsvendor's optimal order quantity is no longer optimal. Methods: We have developed an optimal order quantity model that enables us to incorporate the random yield of a product and the customer balking information such as a threshold inventory level of balking and the corresponding probability of a sale during the balking. Results: We illustrated the concepts developed here through simple numerical examples and showed the robustness of our model in a various setting of parameters. Conclusion: This paper provides a useful analysis showing that our distribution-specific and distribution-free approach to the optimal order quantity in the newsboy model can act as an effective tools to match supply with demand for these product lines.

Single-period Stochastic Inventory Problems with Quadratic Costs

  • Song, Moon-Ho
    • Journal of the military operations research society of Korea
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    • v.5 no.2
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    • pp.15-25
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    • 1979
  • Single-period inventory problems such as the newspaper boy problem having quadratic cost functions for both shortages and overage are examined to determine the optimal order level under various principles of choice such as minimum expected cost, aspiration level, and minimax regret. Procedures for finding the optimum order levels are developed for both continuous and discrete demand patterns.

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