• 제목/요약/키워드: Linear decreasing demand function

검색결과 5건 처리시간 0.021초

Sensitivity Analysis for Joint Pricing and Lot-sizing Model with Price Dependent Demand under Day terms Supplier Credit in a Two-stage Supply Chain

  • Shinn, Seong-Whan
    • International Journal of Advanced Culture Technology
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    • 제8권2호
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    • pp.270-276
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    • 2020
  • In this paper, we analyze the buyer's joint pricing and lot-sizing model in a two-stage supply chain consisting of the supplier, the buyer and the customer. It is assumed that the supplier will permit a certain fixed period for settling the amount the buyer owes to him for the items supplied in order to stimulate the demand for the product. Generally, credit transactions would have a positive effect to the buyer. The availability of credit transactions from the supplier effectively reduces the cost of holding stocks for the buyer and therefore, the buyer has a lot of price options to choose his sales price for a customer in anticipation of increased the customer's demand and, as a result, it will appear to increase the buyer's inventory levels. On the other hand, in the case of decaying products in which their utility decay over time, the decaying rate with time may be expected to reduce inventory levels. In this regard, we need to analyze how much the length of credit period and the decaying rate affect the buyer's pricing and lot-sizing policy. For the analysis, we consider the situation where the customer's demand is represented as a linearly decreasing function of the buyer's sales price. From this perspective, we formulate the buyer's annual net profit and analyze the effect of the length of credit period and decaying rate of the product on the buyer's inventory policy numerically.

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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    • 제9권2호
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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.

Buyer's Price and Inventory Policy with Price Dependent Demand for Decaying Items Day terms Supplier Credit in a Two-stage Supply Chain

  • Shinn, Seong-Whan
    • International Journal of Advanced Culture Technology
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    • 제6권3호
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    • pp.151-162
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    • 2018
  • In deriving the economic order quantity (EOQ) formula, it is tacitly assumed that the buyer has to pay product price while receiving the product from the supplier. However, as a marketing policy, some suppliers permit a delay in payments to the buyers to increase demand for the product they made. Credit transactions would have a positive effect on both suppliers and buyers. For a supplier who offers trade credit, it is an effective means of price differentiation to increase the demand for the product. Availability of opportunity to delay the payment in buyer effectively reduces the cost of holding stocks and therefore, the buyer has a lot of price options to choose his sales price for a customer. Since the buyer's order is affected by the customer's demand, the problems of determining the sales price and EOQ are interdependent and must be solved simultaneously. From this perspective, this paper evaluates the problem of determining the optimal sales price and EOQ for the buyer at the same time when the supplier allows a delay in payments for the product whose demand is represented as a function that decreases linearly with the sales price. For the analysis, it is also assumed that inventory is exhausted not only by customer's but also by decay.

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

  • 신성환
    • 문화기술의 융합
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    • 제8권3호
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    • pp.485-491
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    • 2022
  • 전통적인 경제적주문량(Econo,ic Orde Quantity: EOQ) 모형은 제품을 공급 받는 즉시 제품의 구입비용을 지불한다는 기본 가정 하에 모형을 분석하였다. 그러나 제품 공급자는 경쟁 기업과의 차별화 수단으로 제품의 구입비용에 대하여 일정 기간 지불 유예를 허용하고 있으며, 또한 이와 같은 신용거래는 공급자의 수요 증대를 목적으로 거래량에 따라 탄력적으로 허용되는 것이 더 일반적이라고 볼 수 있다. 중간유통자 입장에서 볼 때 신용거래는 제품 구입 비용에 대한 일시적인 유용이 가능하여 결과적으로 재고 투자 비용을 절감하는 효과를 기대할 수 있고, 결국 최종 고객의 수요 증대를 목적으로 판매 가격을 낮추는 요인이 될 수 있다. 이와 같은 관점에서 고객의 연간 수요는 중간유통자의 판매 가격에 선형적으로 감소하는 함수라는 가정 하에 중간유통자 관점의 최적 주문량과 판매 가격을 결정하는 모형을 분석하고자 한다. 문제 분석을 위하여 제품은 시간이 경과함에 따라 일정율로 퇴화한다는 경우에 중간유통자의 연간 수익에 대한 모형을 수립하고, 총 수익을 최대화하는 경제적 주문량과 판매 가격 결정으로 위한 해법을 제시하고자 한다.

감가상각모형의 유형화에 기초한 적용방안 (Implementation Strategy Based on the Classification of Depreciation Models)

  • 최성운
    • 대한안전경영과학회지
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    • 제16권2호
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    • pp.217-230
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    • 2014
  • The purpose of this study is to develop the Generalized Depreciation Function (GDF) and Winfrey Depreciation Function (WDF) by reviewing methods for the depreciation accountings. The Depreciation Accounting Models (DAM), including straight-line model, declining-balance model, sum-of-the-year-digit model and sinking fund model presented in this paper, are reclassified into the charging pattern of increasing type, decreasing type and constant type. This paper also discusses the development of the GDFs based on convex type, concave type and constant type according to the demand pattern of product, frequency of plant usage, deterioration of time, relative inadequacy, Capital Expenditure (CAPEX) and Operating Expenditure (OPEX) of the Total Productive Maintenance (TPM). The WDFs presented in this paper depict a sudden degradation of plant performance by measuring the change of TPM activity at the midpoint of useful life of asset. The WDFs are classified into left-modal type, symmetrical type and right-modal type by varying the value of skewness and kurtosis. Moreover, three increasing patterns, such as convex, concave and linear types, are used in this paper to present the distinct identification of WFDs by using Instantaneous Depreciation Rate (IDR) in terms of Performance Depreciation Function (PDF) and Depreciation Density Function (DDF). In order to have better understanding of depreciation models, the numerical examples are used for evaluating the Net Operating Less Adjusted Tax (NOPLAT) and Economic Value Added (EVA). It is concluded that the depreciation models showing a large dispersion of EVA require the adjustment of NOPLAT and Invested Capital (IC) based on the objective cash basis and net operating activity for reducing the variation of EVA.