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불확실한 수율과 고객이탈행위를 고려한 강건한 뉴스벤더 모델

Robust Newsvendor Model With Random Yield and Customer Balking

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초록

Purpose: In this paper, we have considered a problem of newsvendor model in an environment of random yields in quality and customer balking behavior, in which only the mean and the variance of the demand are known. In practice, the distributional information of the demand is very limited and only the mean and variance are guessed by experience. In addition, due to the customers balking behavior occurring when the available inventory level decreases, the product’s demand becomes a function of inventory level so that the classical newsvendor’s optimal order quantity is no longer optimal. Methods: We have developed an optimal order quantity model that enables us to incorporate the random yield of a product and the customer balking information such as a threshold inventory level of balking and the corresponding probability of a sale during the balking. Results: We illustrated the concepts developed here through simple numerical examples and showed the robustness of our model in a various setting of parameters. Conclusion: This paper provides a useful analysis showing that our distribution-specific and distribution-free approach to the optimal order quantity in the newsboy model can act as an effective tools to match supply with demand for these product lines.

Abstract

Purpose: In this paper, we have considered a problem of newsvendor model in an environment of random yields in quality and customer balking behavior, in which only the mean and the variance of the demand are known. In practice, the distributional information of the demand is very limited and only the mean and variance are guessed by experience. In addition, due to the customers balking behavior occurring when the available inventory level decreases, the product’s demand becomes a function of inventory level so that the classical newsvendor’s optimal order quantity is no longer optimal. Methods: We have developed an optimal order quantity model that enables us to incorporate the random yield of a product and the customer balking information such as a threshold inventory level of balking and the corresponding probability of a sale during the balking. Results: We illustrated the concepts developed here through simple numerical examples and showed the robustness of our model in a various setting of parameters. Conclusion: This paper provides a useful analysis showing that our distribution-specific and distribution-free approach to the optimal order quantity in the newsboy model can act as an effective tools to match supply with demand for these product lines.

참고문헌 (13)

  1. Alfares, Hesham K., "The distribution-free newsboy problem: extension to the shortage penalty case", International Journal of Production Economics, 93-94, pp.465~477 (2005)
  2. Cachon, Geˊrard, "Matching Supply with Demand : An Introduction to Operations Management" (2009), McGraw-Hill
  3. Gallego, Guillermo, "The distribution free newsboy problem : review and extensions", Journal of the Operational Research Society, 44, pp.825~34 (1993)
  4. Inderfurth, Karl., "Analytical solution for a single-period production-inventory problem with uniformly distributed yield and demand", Central European Journal of Operations Research, 12, pp.117~27 (2004)
  5. 정성환, "품질보증 이슈 조기감지 시스템의 경제성 평가", 품질경영학회지, 40(1), pp.39~48 (2012), 한국품질경영학회
  6. Liao, Yi, "A distribution-free newsvendor model with balking and lost sales penalty", International Journal of Production Economics, 133, pp.224~27 (2011)
  7. 임성욱, "A Spare Ordering Policy for Preventive Replacement with Repair", 품질경영학회지, 39(4), pp.480~485 (2011), 한국품질경영학회
  8. 임성욱, "수명교체와 예비품 재고 정책의 통합 최적화", 품질경영학회지, 40(1), pp.88~91 (2012), 한국품질경영학회
  9. Moon, Ilkyeong, "Distribution free newsboy problem with balking", Journal of the Operational Research Society, 46, pp.537~42 (1995)
  10. Moon, Ilkyeong, "Distribution free procedures for make-to-order(MTO), make-in-advance(MIA), and composite policies", International Journal of Production Economics, 48, pp.21~28 (1997)
  11. Rekik, Yacine, "A comprehensive analysis of the newsvendor model with unreliable supply", OR Spectrum, 29, pp.207~33 (2007)
  12. Scarf, H., "A min-max solution of an inventory problem, In Studies in The Mathematical Theory of Inventory and Production" (1958), Stanford University Press
  13. Vairaktarakis, George L., "Robust multi-item newsboy model with a budget constraint", International Journal of Production Economics, 66, pp.213~26 (2000)

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