가격차에 의한 수요대체를 고려한 최적가격 및 주문량 결정을 위한 추계학적 모형
A Stochastic Model for Deciding Optimal Prices and Ordering Quantities in the Presence of Price-Driven Substitution
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초록
수요대체는 고객이 원래 구매하려고 했던 상품의 품절로 인하여 구매할 수 없는 경우 이를 대체할 수 있는 유사한 상품을 구매함으로써 발생한다. 뿐만 아니라 수요대체는 고객이 원래 구매하려고 했던 상품의 가격의 변화에 의하여 대체 가능한상품을 구매함으로써 발생하는 경우도 있으며 이를 가격차에 의한 수요대체라 한다. 본 연구에서는 두 상품 간의 가격차에 의하여 발생하는 수요대체를 고려할 때 최적가격과 주문량을 결정하는 추계학적 최적화 모형을 제시한다. 또한 본 연구에서 제시된 추계학적 모형을 기존에 제시된 바 있는 확정적 모형과 비교한다. 본 연구의 목적은 모형의 이론적 및 실증 분석을 통하여 가격차에 따른 수요대체가 최적해 및 기대수익에 어떠한 영향을 주는가를 규명하는데 있다.
Abstract
Substitution occurs when a customer cannot purchase the originally requested product due to stockout and might buy a substitutable or similar product. Substitution also occurs when a customer might purchase a substitutable product if the price of the originally requested product changes, which is referred to as price-drive substitution. In this study, we consider a stochastic optimization model for deciding the optimal prices and ordering quantities in the presence of price-driven substitution. We also compare the existing deterministic price-driven substitution model with the stochastic price-driven substitution model of this research. The objective of this study is to investigate the impact of price-driven substitution on the optimal solutions and the expected profits through theoretical analysis and numerical experiments.
참고문헌 (44)
- 김상원, "가격차에 의해 발생하는 수요대체효과를 고려한 정태적 최적가격결정 모형 수립", 한국경영과학회지, 33(1), pp.1~17 (2008), 한국경영과학회
- Anupindi, R., "Estimation of consumer demand with stockout based substitution: An approach to vending machine products", Marketing Science, 17, pp.406~423 (1998)
- Bassok, Y., "Single-period multiproduct inventory models with substitution", Operations Research, 47, pp.632~642 (1999)
- Birge, J., "Se tting single-period optimal capacity levels and prices for substitutable products", International Journal of Flexible Manufacturing Systems, 10, pp.407~430 (1998)
- Bitran, G., "Ordering policies in an environment of stochastic yields and substitution demands", Operations Research, 40, pp.999~1017 (1992)
- Bitran, G., "Pricing policies for perishable products with demand substitution" (2005), MIT
- Blattberg, Robert C., "Price-induced patters of competition", Marketing Science, 8, pp.291~309 (1989)
- Chen,F.,H.Yan,and L.Yao, "“A newsvendor pricing game,” IEEE Transactions on Systems", Man and Cybernetics - Part A, 34, pp.450~456 (2004)
- Chen, L., "Dynamic inventory management with learning about the demand distribution and substitution probability", Manufacturing & Service Operations Management, 10, pp.236~256 (2008)
- Child, P., "SRM Forum: the management of complexity", Sloan Management Review, 31, pp.73~80 (1991)
- Elmaghraby, W., "Dynamic Pricing in the Presence of Inventory Considerations: Research Overview: Current Practices and Future Directions", Management Science, 49, pp.1287~1309 (2003)
- Federgruen, A., "Combined pricing and inventory control under uncertainty", Operations Research, 47, pp.454~475 (1999)
- Gerchak, Y., "A single period inventory problem with partially controlled demand", Computers and Operations Research, 14, pp.1~9 (1987)
- Gerchak, Y., "Optimal rationing policies and production quantities for products with several demand classes", Canadian Journal of Administrative Sciences,, 27, pp.343~352 (1985)
- Heath, T., "Asymmetrical decoy effects on lower- quality versus higherquality brands", Journal of Consumer Research, 22, pp.268~277 (1995)
- Hopp, W. J., "A Static Approximation for Dynamic Demand Substitution with Applications in a Competitive Market", Operations Research, 56, pp.630~645 (2008)
- Hsu, A., "Random Yield and Random Demand in a Production System with Downward Substitution", Operations Research, 47, pp.277~290 (1999)
- Ignall, E., "Optimality of myopic inventory policies for several substitute products", Management Science, 15, pp.284~304 (1969)
- Khouza, M., "A two-item newsboy problem with substitutability", International Journal of Production Economics, 44, pp.267~275 (1996)
- Kok, A., "Demands estimation and assortment optimization under substituttion: Methodology and application", Operations Research, 55, pp.1001~1021 (2007)
- Kuyumcu, H., "Deterministic price-inventory management for substitutable products", Journal of Revenue and Pricing Management, 4, pp.354~366 (2006)
- Lau, A., "The newsboy pro blem with price-dependent demand distribution", IIE Transactions, 20, pp.168~175 (1988)
- Mahajan, S., "Stocking retail assortments under dynamic consumer substitution", Operations Research, 49, pp.334~351 (2001)
- McGillivray, A., "Some concepts for inventory control under substitutable demands", INFOR, 16, pp.47~63 (1978)
- Mulhern, F., "Implicit price bundling of retail products: A multi-product approach to maximizing store profitability", Journal of Marketing, 55, pp.63~73 (1991)
- Nagarajan, M., "Inventory models for substitutable products: Optimal policies and heuristics", Management Science, 54, pp.1453~1466 (2008)
- Parlar, M., "Optimal ordering policies for a perishable and substitutable product: A Markov decision model", Canadian Journal of Adminstrative Sciences, 23, pp.182~195 (1985)
- Parlar, M., "Optimal ordering decisions for two substitutable products with stochastic demands", OPSEARCH, 72, pp.1~15 (1984)
- Pasternack, B., "Optimal inventory policies for substitutable commodities with stochastic demand", Naval Research Logistics, 38, pp.221~240 (1991)
- Paul, K., "Switching gasoline price controls and the leaded-unleaded gasoline price differential", Journal of Environmental Economics and Management, 8, pp.287~305 (1981)
- Petruzzi, N, "Pricing and the newsvendor problem: A review with extensions", Operations Research, 47, pp.183~194 (1999)
- Quelch, J., "Extend profits, not product lines", Harvard Business Review, pp.94509~ (1994)
- Rajaram, K., "The impact of product substitution on retail merchandising", European Journal of Operational Research, 135, pp.582~601 (2001)
- Rao, U., "Multi-product inventory planning with downward substitution, stochastic demand and setup costs", IIE Transactions, 36, pp.59~71 (2004)
- Reibstein, D., "Optimal product line pricing:The influence of elasticities and cross elasticities", Journal of Marketing Research, 21, pp.259~267 (1984)
- Shanker, V., "Proactive and reactive strategies: Asymmetries between market leaders and followers", Management Science, 52, pp.276~292 (2006)
- Shugan, Steven M., "Comments on pricing a product line", Journal of Business, 57, pp.23~26 (1984)
- Schmidt, G., "Changes in product attributes and costs as drivers of new product diffusion and substitution", Production and Operations Management, 14, pp.272~286 (2005)
- Shivakumar, K., "Quality tier competition: How price change influences brand choice and category choice", Journal of Marketing, 6, pp.171~184 (1997)
- Shumsky, R., "Dynamic capacity management with substitution", Operations Research, 57(3), pp.671~684 (2009)
- Smith, S., "Management of multi-item retail inventory systems with demand substitution", Operations Research, 48, pp.50~64 (2000)
- Taheri, A., "Oil shocks and the dynamics of substitution adjustments of industrial fuels in the US", Applied Economics, 26, pp.751~757 (1994)
- Wagner, H., "Dynamic version of the economic lot size model", Management Science, 5, pp.89~96 (1958)
- Wang, X. H., "Duality, income and substitution effects for the competitive firm under price uncertainty", Managerial and Decision Economics, 26, pp.249~253 (2004)
