산업경영시스템학회지 (Journal of Korean Society of Industrial and Systems Engineering)

  • 제43권1호
  • /
  • Pages.70-78
  • /
  • 2020
  • /
  • 2005-0461(pISSN)
  • /
  • 2287-7975(eISSN)
한국산업경영시스템학회 (Society of Korea Industrial and System Engineering)
권호 표지
DOI QR코드

DOI QR Code

구매 종속적 수요에 대한 접근방법의 고찰

A Systematic Approach to the Purchase Dependence

  • 투고 : 2020.02.16
  • 심사 : 2020.03.19
  • 발행 : 2020.03.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

Under the situation which customer orders are cancelled unless all products in the order are delivered all at once, this paper concentrates on the purchase dependent demands and explores the systematic approach to implant the purchase dependence into the multi-product inventory model. First, by acknowledging that it is a challenging task to formulate a suitable inventory model for the purchase dependence, we derive the optimal solution condition using an EOQ model and extend the optimal solution condition to periodic review models. Then, through the comparison simulation of four inventory policies regarding several degrees of purchase dependence, we demonstrate that the inventory models which consider the purchase dependence generate less total cost than the inventory models which ignore the purchase dependence. In general, the inventory models which consider the purchase dependence reduce the loss of sales by maintaining more inventories, which results in reducing the total cost. Consequently, the simulation result supports the effectiveness of this paper's approach. In addition, this paper uses the individual order period and joint order period obtained from the EOQ model for the multi-product inventory model. Through the in-depth analysis of comparing the two models, we observe that the model of using the joint order period produces less total cost when the degree of purchase dependence is high, but the model of using the individual order period produces less total cost when the degree of purchase dependence is low.

키워드

참고문헌

  1. Agrawal, N. and Cohen, M.A., Optimal material control in an assembly system with component commonality, Naval Research Logistics, 2001, Vol. 48, No. 5, pp. 409-429. https://doi.org/10.1002/nav.1026
  2. Cohen, M.A., Kleindorfer, P.R., and Lee, H.L., Near-optimal service constrained stocking policies for spare parts, Operations Research, 1989, Vol. 37, No. 1, pp. 104-117. https://doi.org/10.1287/opre.37.1.104
  3. Corbett, C.J. and Rajaram, K., A generalization of the inventory pooling effect to nonnormal dependent demand, Manufacturing and Service Operations Management, 2006, Vol. 8, No. 4, pp. 351-358. https://doi.org/10.1287/msom.1060.0117
  4. Erkip, N., Hausman, W.H., and Nahmias, S., Optimal centralized ordering policies in multi-echelon inventory systems with correlated demands, Management Science, 1990, Vol. 36, No. 3, pp. 381-392. https://doi.org/10.1287/mnsc.36.3.381
  5. Hadley, G. and Whitin, T.M., Analysis of Inventory Systems, Englewood Cliffs, N.J. : Prentice-Hall, 1963.
  6. Hausman, W.H., Lee, H.L., and Zhang, A.X., Joint demand fulfillment probability in a multi-item inventory system with independent order-up-to policies, European Journal of Operational Research, 1998, Vol. 109, No. 3, pp. 646-659. https://doi.org/10.1016/S0377-2217(97)00152-5
  7. Larsen, C., The Q(s,S) control policy for the joint replenishment problem extended to the case of correlation among item-demands, International Journal of Production Economics, 2009, Vol. 118, No. 1, pp. 292-297. https://doi.org/10.1016/j.ijpe.2008.08.025
  8. Lee, L.H. and Chew, E.P., A dynamic joint replenishment policy with auto-correlated demand, European Journal of Operational Research, 2005, Vol. 165, No. 3, pp. 729-747. https://doi.org/10.1016/j.ejor.2003.04.010
  9. Liu, L. and Yuan, X.M., Coordinated replenishments in inventory systems with correlated demands, European Journal of Operational Research, 2000, Vol. 123, No. 3, pp. 490-503. https://doi.org/10.1016/S0377-2217(99)00102-2
  10. Nasr, W.W. and Maddah, B., Continuous (s, S) policy with MMPP correlated demand, European Journal of Operational Research, 2015, Vol. 246, No. 3, pp. 874-885. https://doi.org/10.1016/j.ejor.2015.05.029
  11. Park, C., Partial backordering inventory model under purchase dependence, Industrial Engineering and Management Systems, 2015, Vol. 14, No. 3, pp. 275-288. https://doi.org/10.7232/iems.2015.14.3.275
  12. Park, C., A partial backordering inventory model with a drop-shipping option under purchase dependence, Asia-Pacific Journal of Operational Research, 2017, Vol. 34, No. 4, pp. 1-20. https://doi.org/10.1142/S0217595917500166
  13. Park, C., Iterative approach to calculating the order fill rate under purchase dependence, Industrial Engineering and Management Systems, 2017, Vol. 16, No. 3, pp. 363-374. https://doi.org/10.7232/iems.2017.16.3.363
  14. Park, C. and Seo, J., Consideration of purchase dependence in inventory management, Computers and Industrial Engineering, 2013, Vol. 66, No. 2, pp. 274-285. https://doi.org/10.1016/j.cie.2013.06.015
  15. Shin, H., Park, S., Lee, E., and Bentond, W.C., A classification of the literature on the planning of substitutable products, European Journal of Operational Research, 2015, Vol. 246, No. 3, pp. 686-699. https://doi.org/10.1016/j.ejor.2015.04.013
  16. Song, J.S., On the order fill rate in a multi-item, basestock inventory system, Operations Research, 1998, Vol. 46, No. 6, pp. 831-845. https://doi.org/10.1287/opre.46.6.831
  17. Urban, T.L., A periodic-review model with seriallycorrelated, inventory-level-dependent demand, International Journal of Production Economics, 2005, Vol. 95, No. 3, pp. 287-295. https://doi.org/10.1016/j.ijpe.2003.11.015
  18. Wong, R.C., Fu, A.W., and Wang, K., Data mining for inventory item selection with cross-selling considerations, Data Mining and Knowledge Discovery, 2005, Vol. 11, No. 1, pp. 81-112. https://doi.org/10.1007/s10618-005-1359-6
  19. Yan, X.S., Robb, D.J., and Silver, E.A., Inventory performance under pack size constraints and spatiallycorrelated demand, International Journal of Production Economics, 2009, Vol. 117, No. 2, pp. 330-337. https://doi.org/10.1016/j.ijpe.2008.11.006
  20. Zhang, R., An extension of partial backordering EOQ with correlated demand caused by cross-selling considering multiple minor items, European Journal of Operational Research, 2012, Vol. 220, No. 3, pp. 876-881. https://doi.org/10.1016/j.ejor.2012.02.015
  21. Zhang, R., Kaku, I., and Xiao, Y., Deterministic EOQ with partial backordering and correlated demand caused by cross-selling, European Journal of Operational Research, 2011, Vol. 210, No. 3, pp. 537-551. https://doi.org/10.1016/j.ejor.2010.10.001