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Optimal ordering policy for newsvendor models with bidirectional changes in demand using expert judgment

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Abstract

Demand forecast is a critical determinant of order quantity under newsvendor problem (NVP) framework and warrants major revision in the event of changing circumstances or happening of some unforeseen events having potential to alter the demand. Retailers of single period products such as fashion apparels are required to pass their orders far ahead of selling seasons and apply preseason two-stage ordering procedure, where an initial order (first stage) is followed by a final confirmed order (second stage). The enterprise forecasting experts may get additional information related to the occurrence of some unforeseen events that may significantly impact the initial demand estimation. In this paper, the potential impact of such events is combined using a weight factor to obtain revised demand forecasts. In this context, this paper develops inventory models under NVP framework to determine the optimal order quantity and weight factor on the basis of revised forecasts. Considering the bidirectional changes in demand, we formulate a unique objective function that operates as a profit maximization function for the positive demand adjustment and turns into a cost minimization function for the negative demand adjustment. Models developed without constraints at first instance are extended subsequently by incorporating constraints of budget limits, storage space capacity and required service level. Near closed form expressions of decision variables for four demand distributions with multiplicative demand forms are presented. The results demonstrate economic benefits of using revised demand through models developed, negative impact of constraints, and role of demand distribution entropy in determining the order size and expected profit.

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References

  1. Gallego, G., Moon, I.: The distribution free newsboy problem: review and extensions. J. Oper. Res. Soc. 44(8), 825–834 (1993)

    Article  Google Scholar 

  2. Khouja, M.: The single-period (news-vendor) problem: literature review and suggestions for future research. Omega-Int. J. Manag. Sci. 27, 537–553 (1999)

    Article  Google Scholar 

  3. Qin, Y., Wang, R., Vakharia, A.J., Chen, Y., Serel, M.: The newsvendor problem: review and directions for future research. Eur. J. Oper. Res. 213(2), 361–374 (2011)

    Article  Google Scholar 

  4. Kalpana, P., Kaur, A.: Single-period inventory models with multiple ordering opportunities: a review. Int. J. Log. Syst. Manag. 13(2), 209–229 (2012)

    Google Scholar 

  5. Lau, A., Lau, H.: The newsboy problem with price-dependent demand distribution. IIE Trans. 20(2), 168–175 (1988)

    Article  Google Scholar 

  6. Petrovic, D., Petrovic, R., Vujosevic, M.: Fuzzy models for the newsboy problem. Int. J. Prod. Econ. 45(1–3), 435–441 (1996)

    Article  Google Scholar 

  7. Urban, T.L., Baker, R.C.: Optimal ordering and pricing policies in a single-period environment with multivariate demand and markdowns. Eur. J. Oper. Res. 103(3), 573–583 (1997)

    Article  Google Scholar 

  8. Alfares, H.K., Elmorra, H.H.: The distribution-free newsboy problem: extensions to the shortage penalty case. Int. J. Prod. Econ. 93–94, 465–477 (2005)

    Article  Google Scholar 

  9. Dutta, P., Chakraborty, D.: Incorporating one-way substitution policy into the newsboy problem with imprecise customer demand. Eur. J. Oper. Res. 200(1), 99–110 (2010)

    Article  Google Scholar 

  10. Yu, Y., Zhu, J., Wang, C.: A newsvendor model with fuzzy price-dependent demand. Appl. Math. Modell. 37, 2644–2661 (2013)

    Article  Google Scholar 

  11. Qin, Z., Kar, S.: Single-period inventory problem under uncertain environment. Appl. Math. Comp. 219(18), 9630–9638 (2013)

    Article  Google Scholar 

  12. Rossi, R., Prestwich, S., Tarim, S.A., Hnich, B.: Confidence-based optimisation for the newsvendor problem under binomial, Poisson and exponential demand. Eur. J. Oper. Res. 239(3), 674–684 (2014)

    Article  Google Scholar 

  13. Lawrence, M., Goodwin, P., O’Connor, P., O¨nkal, D.: Judgmental forecasting: a review of progress over the last 25 years. Int. J. Fore 22(3), 493–518 (2006)

    Article  Google Scholar 

  14. Webby, R., O’Connor, M.: Judgmental and statistical time series forecasting: a review of the literature. Int. J. Fore. 12(1), 91–118 (1996)

    Article  Google Scholar 

  15. Armstrong. J.S, Collopy F.: Integration of statistical methods and judgment for time series forecasting: principles from empirical research. In: Wright, G., Goodwin P. (eds.) Forecasting with Judgment, Wiley, pp. 269–293. (1998)

  16. Goodwin, P., Fildes, R.: Judgmental forecasts of time series affected by special events: Does providing a statistical forecast improve accuracy? J Behav. Decis. Making 12, 37–53 (1999)

    Article  Google Scholar 

  17. Fildes, R., Goodwin, P., Lawrence, M., Nikolopoulos, K.: Effective forecasting and judgmental adjustments: an empirical evaluation and strategies for improvement in supply-chain planning. Int. J. Forecast. 25(1), 3–23 (2009)

    Article  Google Scholar 

  18. Lobo, G.J., Nair, R.D.: Combining judgmental and statistical forecasts: an application to earnings forecasts. Decis. Sci. 21, 446–60 (1990)

    Article  Google Scholar 

  19. Batchelor, R., Dua, P.: Forecaster diversity and the benefits of combining forecasts. Man. Sci. 41, 68–75 (1995)

    Article  Google Scholar 

  20. Webby, R., O’Connor, M, Lawrence, M.: Judgmental time series forecasting with domain knowledge, In Armstrong, J.S. (ed.) Principles of forecasting: a handbook for researchers and practitioners, Kluwer Academic Publishers, Norwall

  21. Mostard, J., Teunter, R., Koster, R.: Forecasting demand for single-period products: a case study in the apparel industry. Eur. J. Oper. Res. 211(1), 139–147 (2011)

    Article  Google Scholar 

  22. Choi, T.M., Li, D., Yan, H.: Optimal two-stage ordering policy with Bayesian information updating. J. Oper. Res. Soc. 54(3), 846–859 (2003)

    Article  Google Scholar 

  23. Choi, T.M.: Pre-season stocking and pricing decisions for fashion retailers with multiple information updating. Int. J. Prod. Econ. 106(1), 146–170 (2007)

    Article  Google Scholar 

  24. Sanders, N.R., Ritzman, L.P.: Bringing judgment into combination forecasts. J. Oper. Manag. 13(4), 311–321 (1995)

    Article  Google Scholar 

  25. Marmier, F., Cheikhrouhou, N.: Structuring and integrating human knowledge in demand forecasting: a judgmental adjustment approach. Prod. Plan. Cont. 21(4), 399–412 (2010)

    Article  Google Scholar 

  26. Yan, X., Wang, Y.: A newsvendor model with capital constraint and demand forecast update. Int. J. Prod. Res. 52(17), 5021–5040 (2014)

    Article  Google Scholar 

  27. Blattberg, R.C., Hoch, S.J.: Database models and managerial intuition: 50 % model + 50 % manager. Manag. Sci. 36, 887–899 (1990)

    Article  Google Scholar 

  28. Trapero, J.R., Fildes, R., Davydenko, A.: Non-linear identification of judgmental forecasts effects at SKU-level. J. Fores. 30(2011), 490–508 (2011)

    Google Scholar 

  29. Khouja, M., Robbins, S.: Linking advertising and quantity decisions in the single period inventory model. Int. J. Prod. Econ. 86(2), 93–105 (2003)

  30. Lee, C.M., Hsu, S.L.: The effects of advertising on the distribution-free newsboy problem. Int. J. Prod. Econ. 129(1), 217–224 (2011)

  31. Dai, J., Meng, W.: A risk-averse newsvendor model under marketing-dependency and price-dependency. Int. J. Prod. Econ. 160, 220–229 (2015)

  32. Lau, H.: Simple formulas for the expected costs in the newsboy problem: an educational note. Eur. J. Oper. Res. 100, 557–561 (1997)

    Article  Google Scholar 

  33. Kao, C., Hsu, W.K.: A single-period inventory model with fuzzy demand. Comp. Math. Appl. 43(6–7), 841–848 (2002)

  34. Jammernegg, W., Kischka, P.: Risk preferences of a newsvendor with service and loss constraints. Int. J. Prod. Econ. 143, 410–415 (2013)

  35. Shi, J., Zhang, G., Sha, J.: Jointly pricing and ordering for a multi-product multi-constraint newsvendor problem with supplier quantity discounts. Appl. Math. Modell. 35, 3001–3011 (2011)

  36. Abdel-Malek, L., Otegbeye, M.: Separable programming/duality approach to solving the multi-product Newsboy/ Gardener Problem with linear constraints. Appl. Math. Modell. 37, 4497–4508 (2013)

  37. Wang, T., Hu, Q.: Coordination of supply chain with advertise-and-price-setting Newsvendor, Chinese Control and Decision Conference. IEEE, 885–890 (2011)

  38. Hillier, F.S., Lieberman, G.J.: Introduction to operations research, 9th edn. McGraw-Hill, New Delhi (2010)

  39. Wang, S.D., Zhou, Y.W., Wang, J.P.: Supply chain coordination with two production modes and random demand depending on advertising expenditure and selling price. Int. J. Syst. Sci. 41(10), 1257–1272 (2010)

  40. Charnes, A., Cooper, W.: Chance-constrained programming. Manag. Sci. 6(1), 73–79 (1959)

  41. Panda, D., Kar, S., Maity, K., Maiti, M.: A single period inventory model with imperfect production and stochastic demand under chance and imprecise constraints. Eur. J. Oper. Res. 188(1), 121–139 (2008)

  42. Nagar, L., Dutta, P., Jain, K.: An integrated supply chain model for new products with imprecise production and supply under scenario dependent fuzzy random demand. Int. J. Syst. Sci. 45(5), 873–887 (2014)

  43. Abdel-Malek, L., Montanari, R.: An analysis of the multi-product newsboy problem with a budget constraint. Int. J. Prod. Econ. 97(3), 296–307 (2005)

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Authors and Affiliations

  1. Department of Production Engineering, Veermata Jijabai Technological Institute (VJTI), Matunga (E), Mumbai, 400019, India

    Madhukar Nagare

  2. Shailesh J. Mehta School of Management, Indian Institute of Technology Bombay, Mumbai, 400076, India

    Pankaj Dutta

  3. Haute école de gestion de Genève, HES-SO, University of Applied Sciences Western Switzerland, CH-1227, Geneva, Switzerland

    Naoufel Cheikhrouhou

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  1. Madhukar Nagare
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  2. Pankaj Dutta
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  3. Naoufel Cheikhrouhou
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Correspondence to Pankaj Dutta.

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Nagare, M., Dutta, P. & Cheikhrouhou, N. Optimal ordering policy for newsvendor models with bidirectional changes in demand using expert judgment. OPSEARCH 53, 620–647 (2016). https://doi.org/10.1007/s12597-016-0248-7

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