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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

  • 신성환 (한라대학교 화학공학과)
  • Received : 2023.07.11
  • Accepted : 2023.09.05
  • Published : 2023.09.30

Abstract

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.

신용거래(Trade Credit)는 제품 공급자가 중간유통자에게 제품 구입비용에 대하여 일정 기간 동안 지불 유예를 허용하는 거래 행위로 일반적으로 경쟁 기업과의 차별화 수단으로 허용되어 진다. 이와 같은 신용 거래는 고객의 거래량(주문량 크기) 증대를 목적으로 거래량의 크기에 따라 종속적으로 허용되는 것을 흔히 볼 수 있다. 또한 중간유통자 입장에서 보면 신용거래가 허용되면, 제품 구입비용에 대하여 일정 기간 동안의 지불 유예가 가능하여 재고투자비용의 절감 효과를 기대할 수 있고, 이와 같은 재고 투자비용의 절감은 최종 고객의 수요를 늘릴 수단으로 판매가격을 할인하는 요인이 될 수 있다. 본 연구에서는 공급자가 중간유통자의 거래량에 종속적으로 지불 유예 기간을 허용하는 상황 하에서 최종고객의 연간 수요가 중간유통자의 판매가격에 지수적으로 감소하는 가격탄력함수(a price elasticity function)의 경우를 고려하여 중간유통자 관점의 최적 판매가격과 주문량을 결정하는 모형을 분석하고자 한다. 문제 분석을 위하여 제품은 시간이 경과함에 따라 일정율로 퇴화하는 경우에 중간유통자의 재고 모형을 수립하고, 퇴화가 중간유통자의 재고 정책에 미치는 영향에 대해서 분석 해 보고자 한다.

Keywords

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