• Title/Summary/Keyword: Order-size-dependent delay

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Joint Pricing and Lot Sizing Policy under Order-Size-Dependent Delay in Payments

  • Seong Whan Shinn
    • Proceedings of the Safety Management and Science Conference
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    • 2000.05a
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    • pp.77-86
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    • 2000
  • This paper deals with the problem of determining the retailer's optimal price and order size under the condition of order-size-dependent delay in payments. It is assumed that the length of delay is a function of the retailer's total amount of purchase. The constant price elasticity demand function is adopted which is a decreasing function of retail price. Investigation of the properties of an optimal solution allows us to develop an algorithm whose validity is illustrated through an example problem.

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Optimal Pricing and Ordering Policies with Price Dependent Demand Linearly under Order-Size-Dependent Delay in Payments

  • Shinn, Seong-whan
    • International Journal of Advanced Culture Technology
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    • v.9 no.2
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    • pp.91-99
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    • 2021
  • In Korea, some pharmaceutical companies and agricultural machine manufacturers associate the length of the credit period with the retailer's order size. This kind of commercial practice is based on the principle of economy of scale from the supplier's point of view and tends to make retailer's order size large enough to qualify a certain credit period break. Also, the credit period allowed by the supplier makes it possible to reduce the retail price expecting that the retailer can earn more profits by the stimulating the customer's demand. Since the retailer's order size is affected by the end customer's demand, it is reasonable to determine the retail price and the order size simultaneously. In this regard, this paper analyzes the retailer's problem who has to decide his sales price and order quantity from a supplier who offers different credit periods depending on his order size. And we show that the retailer's order size large enough to qualify a certain credit period break. Also, it is assumed that the end customer's demand rate is represented by a linear decreasing function of the retail price.

On the Distributor's EOQ with Inventory-level-dependent Demand Rate in the Presence of Order-size-dependent Delay in Payments (주문량에 종속적인 신용거래 하에 재고 종속형 제품수요를 고려한 경제적 주문량 모형)

  • Shinn, Seong Whan
    • Journal of the Korea Safety Management & Science
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    • v.16 no.4
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    • pp.313-321
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    • 2014
  • 본 연구는 공급자(supplier)가 중간 유통자(wholesaler/retailer)의 수요 증대를 목적으로 중간 유통자의 주문량에 따라 차별적으로 외상 기간을 허용한다는 기본적인 가정 하에 중간 유통자의 재고 모형을 다루었다. 문제 분석을 위하여 최종 고객(customer)의 수요는 중간 유통자의 재고 수준에 따라 선형적(linearly)으로 증가한다는 가정하에 모형을 분석하였고, 모형 분석을 통하여 중간 유통자의 이익을 최대화하는 경제적 주문주기와 경제적 주문량 결정 방법을 제시하고, 예제를 통하여 그 제시된 해법의 타당성을 보였다.

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.

Buyer's EOQ model for deteriorating products under order-size-dependent delay in payments

  • Shinn Seong-Whan;Song Chang-Yong
    • Proceedings of the Safety Management and Science Conference
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    • 2002.05a
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    • pp.243-247
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    • 2002
  • This paper deals with the problem of determining the buyer's economic lot sizing policy for exponentially deteriorating products under trade credit. Assuming that the supplier's credit terms are already known and the length of delay is a function of the buyer's order size, we formulate the mathematical model and the solution algorithm is developed based on the properties of an optimal solution.

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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.

Sensitivity analysis of RPLS inventory model with price dependent demand linearly under order-size-dependent delay in payments in a two-stage supply chain (주문량에 따라 종속적으로 외상거래기간이 허용되는 상황 하에 선형수요함수를 고려한 RPLS 재고모형의 퇴화율에 따른 민감도분석)

  • Shinn, Seong-Whan
    • The Journal of the Convergence on Culture Technology
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    • v.8 no.5
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    • pp.577-582
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    • 2022
  • Credit transactions are used as a means of price discrimination from competitors in order for suppliers to increase customer demand. In particular, in the case of a two-stage supply chain consisting of a supplier, a retailer, and a customer, the deferral of payment for goods allowed by the supplier is a means of reducing the inventory investment cost of the retailer. Retailers have the opportunity to discount the selling price while anticipating an increase in end-customer demand through the reduction of the inventory investment cost. In view of the fact that such trade credit is provided for the purpose of increasing demand as a means of discrimination from competitors, it may be more general that the credit transaction period is allowed flexibly according to the transaction volume. In particular, in the case of deteriorating products, the credit transaction period given according to the order volume is a factor that increases the order volume of the retailer, but product deterioration can be a limiting factor in the increase in the order volume. The deterioration rate actually plays an important role in determining the inventory policy of the retailer. Therefore, in this paper, the effect of such deterioration rate on the inventory policy of retailer is analyzed.

A Basic Study on the Attachment Process of Lightning Leader to Ground (낙뢰 리더의 대지부착과정에 대한 기초적 연구)

  • Yoo, Yang-Woo;Kim, Seung-Min;Kim, You-Ha;Lee, Bok-Hee
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.28 no.10
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    • pp.82-88
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    • 2014
  • This paper presents the results of model tests for the attachment process of lightning leader to ground which is one of poorly understood processes of cloud-to-ground lightning discharges. In order to simulate the attachment process of lightning leader to ground, we investigated the discharge characteristics of air gap between the tip of needle-shaped electrode and the soil surface as a parameter of moisture content in soils when the positive and negative $1.2/50{\mu}s$ lightning impulse voltages are applied. The breakdown voltage and the discharge light were observed. As a result, the attachment processes of lightning leader to ground are strongly dependent on the grain size and the moisture content of soils. The time to breakdown was shortened with increasing the magnitude of incident impulse voltages. The delay time from application of the highest voltage to breakdown in sand is shortened with increasing the moisture content. The delay time from application of the voltage to breakdown in gravel varied from about $0.5{\mu}s$ to several ${\mu}s$. As the moisture content in soil increases, the breakdown voltages are decreased and the breakdown voltage versus time to breakdown curves are shifted toward the lower side. The results obtained in this work are similar to those for non-uniform air gap stressed by lightning impulse voltages.

Optimal Pricing and Ordering Policies for an Exponential Deteriorating Product under Order-size-dependent Delay in Payments (주문량에 따라 종속적인 신용거래 하에 퇴화성제품의 최적 가격 및 재고정책)

  • Seong-Whan Shinn
    • The Journal of the Convergence on Culture Technology
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    • v.9 no.5
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    • pp.493-499
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    • 2023
  • Trade credit refers to a transaction where a product supplier allows an distributor to defer payment for a certain period of time for the purchase cost of the products. This practice is generally permitted as a means of differentiation between competing companies. Such trade credit is commonly granted based on the volume of transactions, aiming to increase customer orders. From the perspective of the distributor, trade credit allows for a deferred payment period for the purchase cost, leading to cost savings in inventory investment. These cost savings in inventory investment can be a factor in reducing selling prices with the aim of increasing customer demand. In this study, we analyze a model that determines the optimal selling price and order quantity from the perspective of the distributor, assuming that the supplier allows a deferred payment period dependent on the transaction volume. We assume that the final customer's annual demand exhibits an exponential decrease with respect to the distributor's selling price, using a constant price elasticity function. To analyze the problem, we assume that the product deteriorates at a constant rate over time and aim to establish an inventory model for the intermediate distributor. We also want to analyze the impact of deterioration on the inventory policies of the intermediate distributor.