주문량 증가에 따른 할인 정책이 있는 다기간 재고 모형의 해법 연구

• 영문명: A Study on a Multi-period Inventory Model with Quantity Discounts Based On the Previous Order
• 발행기관: 한국산업경영시스템학회
• 저자명: 임성묵(Sungmook Lim)
• 간행물 정보: 『산업경영시스템학회지』제32권 제4호, 53~62쪽, 전체 10쪽
• 주제분류: 경제경영 > 경영학
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

Lee[15] examined quantity discount contracts between a manufacturer and a retailer in a stochastic, two-period inventory model where quantity discounts are provided based on the previous order size During the two periods, the retailer faces stochastic(truncated Poisson distributed) demands and he/she places orders to meet the demands The manufacturer provides for the retailer a price discount for the second period order if its quantity exceeds the first period order quantity In this paper we extend the above two-period model to a k-period one (where 𝑘＞2) and propose a stochastic nonlinear mixed binary integer program for it In order to make the program tractable, the nonlinear term involving the sum of truncated Poisson cumulative probability function values over a certain range of demand is approximated by an 𝑖-interval piecewise linear function With the value of 𝑖 selected and fixed, the piecewise linear function is determined using an evolutionary algorithm where its fitness to the original nonlinear term is maximized The resulting piecewise linear mixed binary integer program is then transformed to a mixed binary integer linear program With the 𝑘-period model developed, we suggest a solution procedure of receding horizon control style to solve 𝑛-period (𝑛＞𝑘) order decision problems We implement Lee's two-period model and the proposed k-period model for the use in receding horizon control style to solve n-period order decision problems, and compare between the two models in terms of the pattern of order quantities and the total profits Our computational study shows that the proposed model is superior to the two-period model with respect to the total profits, and that order quantities from the proposed model have higher fluctuations over periods

키워드

Inventory Multi-period Inventory Model Quantity Discount Demand Uncertainty