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수량 할인과 예산 제약을 고려한 재고관리 정책에 관한 연구

A Study on Inventory Control Policy for Quantity-Discount and Budget Constraint

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초록

As order quantity is increased, the ordering cost per item will be cheaper due to saving of transportation and material handling costs. In this paper, two realistic assumptions such as quantity discount and budget limit are considered. Quantity discount means that all units in the order will be discounted according to the predetermined order levels. Budget limit represents that the costs for inventory investments are bounded. This paper develops a Lagrangian relaxation approach for a continuous review inventory model with a budget constraint and quantity discounts. Computational results indicate that the proposed approach provides a good solution. Sensitivity analysis is done to get some insights on budget limit and quantity discount. As budget limit or the amount of discount according to order quantity is increased, order quantity is increased, whereas reorder point is not always increased.

Abstract

As order quantity is increased, the ordering cost per item will be cheaper due to saving of transportation and material handling costs. In this paper, two realistic assumptions such as quantity discount and budget limit are considered. Quantity discount means that all units in the order will be discounted according to the predetermined order levels. Budget limit represents that the costs for inventory investments are bounded. This paper develops a Lagrangian relaxation approach for a continuous review inventory model with a budget constraint and quantity discounts. Computational results indicate that the proposed approach provides a good solution. Sensitivity analysis is done to get some insights on budget limit and quantity discount. As budget limit or the amount of discount according to order quantity is increased, order quantity is increased, whereas reorder point is not always increased.

참고문헌 (12)

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  2. Chang, H. -C., "A note on economic lot size model for price-dependent demand under quantity and freight discounts", Int J Prod Eco, 144(1), pp.175~179 (2013)
  3. Chen, L., "A multiple-item budget-constraint newsboy problem with a reservation policy", Omega, 38(6), pp.431~439 (2010)
  4. Darwish, M. A., "Joint Determination of order quantity and reorder point of continuous review model under quantity and freight rate discounts", Com and Oper Res, 35(12), pp.3902~3917 (2008)
  5. Ghalebsaz-Jeddi, B., "A multiproduct continuous review inventory system with stochastic demand, backorders, and a budget constraint", Euro J of Oper Res, 158(2), pp.456~469 (2004)
  6. Hiller, F.S., "Introduction to Operations Research" (2005), McGraw-Hill Com.
  7. 이동주, "예산의 제약이 있는 다품종 연속적 재고 관리 문제에서 추정을 통한 해법", 산업경영시스템학회지, 31(4), pp.134~139 (2008), 한국산업경영시스템학회
  8. Shin, H., "A quantity discount approach to supply chain coordination", Euro J of Oper Res, 180(2), pp.601~616 (2007)
  9. Vairaktarakis, G.L, "Robust multi-item newsboy models with a budget constraint", Int J Prod Econ, 66(3), pp.213~226 (2000)
  10. Wang, T.Y., "An inventory control system for products with optional components under service level and budget constraints", Euro J of Oper Res, 189(1), pp.41~58 (2008)
  11. Wang, T.Y., "Heuristic method on solving an inventory model for products with optional components under stochastic payment and budget constraints", Exp sys with App, 37(3), pp.2588~2598 (2010)
  12. Zhang, G., "The multi-product newsboy problem with supplier quantity discounts and a budget constraint", Euro J of Oper Res, 206(2), pp.350~360 (2010)

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