• Title/Summary/Keyword: Inventory, EOQ model

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An Inventory Model for Deteriorating Products with Ordering Cost inclusive of a Freight Cost under Trade Credit (신용거래 하에 운송비용이 포함된 주문 비용을 고려한 퇴화성 제품의 재고 모형)

  • Shinn, Seong-Whan
    • The Journal of the Convergence on Culture Technology
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    • v.5 no.1
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    • pp.353-360
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    • 2019
  • Trade credit is being used as a price discrimination strategy by the suppliers in order to increase the customer's demand. From the viewpoint of the customer, if delayed payment is allowed for a certain period of time from the supplier, the effect of reducing the inventory carrying cost will positively affect the customer's order quantity. Also, in deriving the economic order quantity(EOQ) formula, it is tacitly assumed that the customer's ordering cost is a fixed cost. However in many business transactions, the customer pays the freight cost for the transportation of his order and so, the customer's ordering cost contains not only a fixed cost but also a freight cost which is a function of the order size. Therefore, in this study, we analyzed the inventory model which considers that the customer's ordering cost contains not only a fixed cost but also a freight cost which is a function of the customer's order size when the supplier permits a delay in payments. For the analysis, it is also assumed that inventory is exhausted not only by customer's demand but also by deterioration. Investigation of the properties of an optimal solution allows us to develop an algorithm whose validity is illustrated using an example problem.

Distributor's reliable inventory model for deteriorating product when the supplier offers an uncharged addition in a supply chain (묶음판매가 허용되는 공급사슬에서 퇴화성 제품을 취급하는 중간분배자의 신뢰성있는 재고모형)

  • Shin, Seong-Whan;Lee, Deok-Soo
    • Journal of the Korea Safety Management & Science
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    • v.10 no.1
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    • pp.167-174
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    • 2008
  • 본 연구는 공급자, 중간분배자 그리고 고객으로 구성된 2 단계 공급사슬에서 시간에 따라 일정률로 퇴화하는 퇴화성 제품을 취급하는 중간분배자의 경제적 재고모형을 분석하였다. 문제 분석을 위하여 공급자는 고객으로부터의 수요를 증대시키기 위한 수단으로 일정한 묶음 단위별로 일정한 양의 덤을 제공한다는 가정 하에 재고모형을 설계하였고, 모형 분석을 통하여 이익을 최대화하는 경제적 주문량 결정 방법을 제시하였다. 또한 예제를 통하여 제시된 해법을 적용하고, 그 타당성을 보였다.

Analysis of Economic Replenishment Policy for Exponentially Deteriorating Products under Trade Credit Depending on the Amount of Purchase (구매량에 종속적인 외상기간을 고려한 퇴화성 제품의 경제적 주문정책)

  • Shinn, Seong-Whan
    • Journal of Korean Institute of Industrial Engineers
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    • v.28 no.3
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    • pp.232-239
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    • 2002
  • This paper analyzes how a buyer can determine the economic replenishment policy when the supplier allows delay in payments for an order of a product. For the analysis, it is assumed that the length of credit period is a function of the buyer's amount of purchase, and inventory is depleted not only by buyer's demand but also by deterioration. Investigation of the properties of the model developed allows us to develop an algorithm whose validity is illustrated using an example problem.

Supply Chain Inventory Model for Items with Stock Dependent Demand Rate and Exponential Deterioration under Order-Size-Dependent Delay in Payments (주문량 종속 신용거래 하에서 재고 종속형 제품수요를 갖는 퇴화성제품의 공급체인 재고모형)

  • Shinn, Seong Whan
    • Journal of the Korea Safety Management & Science
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    • v.17 no.3
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    • pp.279-287
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    • 2015
  • 본 연구는 공급자(supplier), 중간공급자(distributor) 그리고 고객(customer)으로 구성된 2 단계 공급사슬에서 퇴화성 제품(deteriorating products)에 대한 중간공급자의 재고모형을 분석하였다. 문제 분석을 위해 공급자는 중간공급자의 수요 증대를 목적으로 중간공급자의 주문 크기에 따라 차별적으로 외상 기간을 허용하고, 최종 고객의 수요는 중간공급자의 재고 수준에 따라 선형적(linearly)으로 증가한다는 가정 하에 모형을 분석하였다. 중간공급자의 이익을 최대화하는 경제적 주문량 결정 방법을 제시하였고, 예제를 통하여 그 해법의 타당성을 보였으며, 민감도 분석을 통하여 퇴화율이 재고정책에 미치는 영향을 분석하였다.

A Batch Sizing Model at a Bottleneck Machine in Production Systems (생산라인의 병목공정에서 배치크기 결정 모형)

  • Koo, Pyung-Hoi;Koh, Shie-Gheun
    • Journal of Korean Institute of Industrial Engineers
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    • v.33 no.2
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    • pp.246-253
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    • 2007
  • All of the machines in a production line can be classified into bottleneck and non-bottleneck machines. A bottleneck is a resource whose capacity limits the throughput of the whole production facility. This paper addresses a batch sizing problem at the bottleneck machine. Traditionally, most batch sizing decisions have been made based on the EOQ (economic order quantity) model where setup and inventory costs are considered while throughput rate is assumed to be given. However, since batch size affects the capacity of the bottleneck machine, the throughput rate may not be constant. As the batch size increases, the frequency of the setup decreases. The saved setup time can be transferred to processing time, which results in higher throughput. But, the larger batch size may also result in longer lead time and larger WIP inventory level. This paper presents an alternative method to determine batch size at the bottleneck machine in a manufacturing line. A linear search algorithm is introduced to find optimal throughput rate and batch size at the same time. Numerical examples are provided to see how the proposed method works and to investigate the effects of some parameters.

MAINTENANCE SETUP AND SETUP PERFORMANCE IMPROVEMENT IN AN UNRELIABLE PRODUCTION SYSTEM

  • Lee, Chang-Hwan
    • Management Science and Financial Engineering
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    • v.3 no.1
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    • pp.57-74
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    • 1997
  • An EOQ-like inventory model for a manufacturing process is studied. The system is assumed to deteriorate during the production process. The results are either the production of a number of defective items, or the breakdown of the production machine. The optimal production lot size is derived. The model is extended to the case in which the probabilities of making defective items and machine breakdowns are a function of both the quantity (amount) and quality (performance) of the consumed setup cost (including the preventive maintenance cost). We further assume that the setup performance can be improved by investing in the performance improvement program. Hence, the same or a better setup outcome can be achieved with a lower setup cost. We then investigate the optimal setup cost and investment policy simultaneously, thereby achieving a better process quality and setup cost reduction concurrently.

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A Study on the Effect of Setup Time Reduction on Production Lot Sizes (생산준비시간 단축과 생산로트사이즈에 대한 연구)

  • 구일섭;김진수
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.17 no.32
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    • pp.121-126
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    • 1994
  • Setup Time Reduction is an important aspect of the Just-in-Time(JIT) and Zero Inventory(Zl) Concepts since it supports reductions in manufacturing lead times and inventories. It also enables small lot sizes and kanban systems implementation for material flow - achieving major improvements in production floor management. One concept fundamental to the pursuit of JIT production in Japan and other countries is adoption of a setup time reduction. This paper looks at the necessities of setup time reduction and the relations to machine utilization. By using an EOQ model for evaluate the effect of setup time reduction, we get the results that over 75 % reduction in setup time is obtain the desired results in the lot size reduction.

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A Study on a Procedure to Determine the Economic Incoming Quantity of Materials in Consideration of the Process Fraction Defectives (공정불량률(工程不良率)을 고려(考慮)한 자재납입량(資材納入量)의 결정(決定))

  • Lee, Hoe-Sik;Hwang, Ui-Cheol
    • Journal of Korean Society for Quality Management
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    • v.18 no.1
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    • pp.1-8
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    • 1990
  • In this paper we present a procedure to determine the quantity of incoming materials when the nonconforming materials appear in the production process. We determined the total loss of materials $D_2$ due to fraction defectives in process and added this $D_2$ to the quantity of incoming materials $Q_0$ considered ingoing-outgoing quality level. The quantity of materials $Q_1$ as a result of this procedure should be an economic purchasing quantity and is a rectifying quantity of the EOQ determined in classical inventory model.

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Distributor's pricing and ordering policies with linearly price dependent demand for decaying products under order-size-dependent delay in payments (주문량의 크기에 따라 신용거래 기간이 허용되는 상황하에 선형적으로 감소하는 고객 수요를 고려한 퇴화성제품의 최적 가격 및 재고정책)

  • Shinn, Seong-Whan
    • The Journal of the Convergence on Culture Technology
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    • v.8 no.3
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    • pp.485-491
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    • 2022
  • The traditional economic order quantity (EOQ) model is analyzed under the basic assumption that the purchase price is paid immediately upon receiving the product. However, product suppliers may allow a certain period of deferral of payment for product purchase costs in order to differentiate themselves from competitors. From the distributor's point of view, such a credit transaction can temporarily divert product purchase costs, resulting in a reduction in inventory investment costs, and ultimately, a factor that lowers the selling price for the purpose of increasing end-customer demand can be. In addition, in that credit transactions are provided for the purpose of increasing the demand of suppliers as a means of differentiation from competitors, it is more general to be allowed flexibly according to the transaction volume. In this regard, assuming that the end customer's demand is represented by a linear decreasing function of the distributor's selling price, this study analyzes a model for determining the distributor's pricing and ordering policies under order-size-dependent delay in payments. For the analysis, we also assume that the inventory is depleted not only by customer's demand but also by decaying.