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Opportunity loss minimization and newsvendor behavior. (English) Zbl 1369.90011
Summary: To study the decision bias in newsvendor behavior, this paper introduces an opportunity loss minimization criterion into the newsvendor model with backordering. We apply the Conditional Value-at-Risk (CVaR) measure to hedge against the potential risks from newsvendor’s order decision. We obtain the optimal order quantities for a newsvendor to minimize the expected opportunity loss and CVaR of opportunity loss. It is proven that the newsvendor’s optimal order quantity is related to the density function of market demand when the newsvendor exhibits risk-averse preference, which is inconsistent with the results in [M. E. Schweitzer and G. P. Cachon, Manage. Sci. 46, No. 3, 404–420 (2000; Zbl 1231.90058)]. The numerical example shows that the optimal order quantity that minimizes CVaR of opportunity loss is bigger than expected profit maximization (EPM) order quantity for high-profit products and smaller than EPM order quantity for low-profit products, which is different from the experimental results in [loc. cit.]. A sensitivity analysis of changing the operation parameters of the two optimal order quantities is discussed. Our results confirm that high return implies high risk, while low risk comes with low return. Based on the results, some managerial insights are suggested for the risk management of the newsvendor model with backordering.
90B05 Inventory, storage, reservoirs
91B06 Decision theory
Full Text: DOI
[1] Khouja, M., The single-period (news-vendor) problem: literature review and suggestions for future research, Omega, 27, 5, 537-553, (1999)
[2] Qin, Y.; Wang, R.; Vakharia, A. J.; Chen, Y.; Seref, M. M. H., The newsvendor problem: review and directions for future research, European Journal of Operational Research, 213, 2, 361-374, (2011) · Zbl 1215.90005
[3] Arıkan, E.; Fichtinger, J., The risk-averse newsvendor problem under spectral risk measures: a classification with extensions, European Journal of Operational Research, 256, 1, 116-125, (2017) · Zbl 1394.90015
[4] Corsten, D.; Gruen, T., Stock-outs cause walkouts, Harvard Business Review, 86, 5, 26-28, (2004)
[5] Montgomery, D. C.; Bazaraa, M. S.; Keswani, A. K., Inventory models with a mixture of backorders and lost sales, Naval Research Logistics, 20, 2, 255-263, (1973) · Zbl 0262.90020
[6] Weng, Z. K., Coordinating order quantities between the manufacturer and the buyer: a generalized newsvendor model, European Journal of Operational Research, 156, 1, 148-161, (2004) · Zbl 1043.90521
[7] San José, L. A.; Sicilia, J.; García-Laguna, J., Analysis of an inventory system with exponential partial backordering, International Journal of Production Economics, 100, 1, 76-86, (2006)
[8] Lodree, E. J., Advanced supply chain planning with mixtures of backorders, lost sales, and lost contract, European Journal of Operational Research, 181, 1, 168-183, (2007) · Zbl 1121.90013
[9] Lodree, J. E. J.; Kim, Y.; Jang, W., Time and quantity dependent waiting costs in a newsvendor problem with backlogged shortages, Mathematical and Computer Modelling, 47, 1-2, 60-71, (2008) · Zbl 1145.90309
[10] Zhou, Y.-W.; Wang, S.-D., Manufacturer-buyer coordination for newsvendor-type-products with two ordering opportunities and partial backorders, European Journal of Operational Research, 198, 3, 958-974, (2009) · Zbl 1176.90391
[11] Pando, V.; San-José, L. A.; García-Laguna, J.; Sicilia, J., A newsboy problem with an emergency order under a general backorder rate function, Omega (United Kingdom), 41, 6, 1020-1028, (2013)
[12] Chen, J.; Huang, S.; Hassin, R.; Zhang, N., Two backorder compensation mechanisms in inventory systems with impatient customers, Production and Operations Management, 24, 10, 1640-1656, (2015)
[13] Liu, S.; Song, M.; Tan, K. C.; Zhang, C., Multi-class dynamic inventory rationing with stochastic demands and backordering, European Journal of Operational Research, 244, 1, 153-163, (2015) · Zbl 1346.90039
[14] Hsu, L.-F.; Hsu, J.-T., Economic production quantity (EPQ) models under an imperfect production process with shortages backordered, International Journal of Systems Science. Principles and Applications of Systems and Integration, 47, 4, 852-867, (2016) · Zbl 1333.90035
[15] Braglia, M.; Castellano, D.; Gallo, M., Approximated closed-form minimum-cost solution to the \((r, q)\) policy with complete backordering and further developments, Applied Mathematical Modelling. Simulation and Computation for Engineering and Environmental Systems, 40, 19-20, 8406-8423, (2016)
[16] Khalilpourazari, S.; Pasandideh, S. H.; Niaki, S. T., Optimization of multi-product economic production quantity model with partial backordering and physical constraints: SQP, SFS, SA, and WCA, Applied Soft Computing, 49, 770-791, (2016)
[17] Taleizadeh, A. A.; Zarei, H. R.; Sarker, B. R., An optimal control of inventory under probablistic replenishment intervals and known price increase, European Journal of Operational Research, 257, 3, 777-791, (2017) · Zbl 1394.90049
[18] Khalilpourazari, S.; Pasandideh, S. H. R., Multi-item EOQ model with nonlinear unit holding cost and partial backordering: moth-flame optimization algorithm, Journal of Industrial and Production Engineering, 34, 1, 42-51, (2017)
[19] Schweitzer, M. E.; Cachon, G. P., Decision bias in the newsvendor problem with a known demand distribution: experimental evidence, Management Science, 46, 3, 404-420, (2000) · Zbl 1231.90058
[20] Wang, C. X.; Webster, S., The loss-averse newsvendor problem, Omega, 37, 1, 93-105, (2009)
[21] Bolton, G. E.; Katok, E., Learning by doing in the newsvendor problem: a laboratory investigation of the role of experience and feedback, Manufacturing and Service Operations Management, 10, 3, 519-538, (2008)
[22] Kremer, M.; Minner, S.; Van Wassenhove, L. N., Do random errors explain newsvendor behavior?, Manufacturing and Service Operations Management, 12, 4, 673-681, (2010)
[23] Ho, T.-H.; Lim, N.; Cui, T. H., Reference dependence in multilocation newsvendor models: a structural analysis, Management Science, 56, 11, 1891-1910, (2010) · Zbl 1232.90057
[24] Nagarajan, M.; Shechter, S., Prospect theory and the newsvendor problem, Management Science, 60, 4, 1057-1062, (2014)
[25] Long, X.; Nasiry, J., Prospect theory explains newsvendor behavior: the role of reference points, Management Science, 61, 12, 3009-3012, (2015)
[26] Lau, N.; Hasija, S.; Bearden, J. N., Newsvendor pull-to-center reconsidered, Decision Support Systems, 58, 1, 68-73, (2014)
[27] Zhao, X.-B.; Geng, W., A note on “Prospect theory and the newsvendor problem”, Journal of the Operations Research Society of China, 3, 1, 89-94, (2015) · Zbl 1317.90041
[28] Zhao, Y.; Zhao, X., How a competing environment influences newsvendor ordering decisions, International Journal of Production Research, 54, 1, 204-214, (2016)
[29] Lan, Y.; Gao, H.; Ball, M. O.; Karaesmen, I., Revenue management with limited demand information, Management Science, 54, 9, 1594-1609, (2008) · Zbl 1232.91391
[30] Ng, T. S., Robust regret for uncertain linear programs with application to co-production models, European Journal of Operational Research, 227, 3, 483-493, (2013) · Zbl 1292.90195
[31] Ruan, J.; Shi, Y., Monitoring and assessing fruit freshness in IOT-based e-commerce delivery using scenario analysis and interval number approaches, Information Sciences, 373, 557-570, (2016)
[32] Ruan, J. H.; Wang, X. P.; Chan, F. T. S.; Shi, Y., Optimizing the intermodal transportation of emergency medical supplies using balanced fuzzy clustering, International Journal of Production Research, 54, 14, 4368-4386, (2016)
[33] Rockafellar, R. T.; Uryasev, S., Optimization of conditional value-at-risk, The Journal of Risk, 2, 21-41, (2000)
[34] Rockafellar, R. T.; Uryasev, S., Conditional value-at-risk for general loss distributions, Journal of Banking and Finance, 26, 7, 1443-1471, (2002)
[35] Chen, X.; Sim, M.; Simichi-Levi, D.; Sun, P., Risk Aversion in Inventory Management, (2003), Cambridge, UK: MIT, Cambridge, UK
[36] Gotoh, J.-Y.; Takano, Y., Newsvendor solutions via conditional value-at-risk minimization, European Journal of Operational Research, 179, 1, 80-96, (2007) · Zbl 1275.90057
[37] Chen, Y.; Xu, M.; Zhang, Z. G., A risk-averse newsvendor model under the CVaR criterion, Operations Research, 57, 4, 1040-1044, (2009) · Zbl 1233.90015
[38] Eskandarzadeh, S.; Eshghi, K., Decision tree analysis for a risk averse decision maker: CVaR criterion, European Journal of Operational Research, 231, 1, 131-140, (2013) · Zbl 1317.91023
[39] Wu, M.; Zhu, S. X.; Teunter, R. H., A risk-averse competitive newsvendor problem under the CVaR criterion, International Journal of Production Economics, 156, 13-23, (2014)
[40] Chan, T. C. Y.; Mahmoudzadeh, H.; Purdie, T. G., A robust-CVaR optimization approach with application to breast cancer therapy, European Journal of Operational Research, 238, 3, 876-885, (2014) · Zbl 1338.90490
[41] Xu, X.; Meng, Z.; Shen, R.; Jiang, M.; Ji, P., Optimal decisions for the loss-averse newsvendor problem under CVaR, International Journal of Production Economics, 164, 146-159, (2015)
[42] Xu, X.; Meng, Z.; Ji, P.; Dang, C.; Wang, H., On the newsvendor model with conditional Value-at-Risk of opportunity loss, International Journal of Production Research, 54, 8, 2449-2458, (2016)
[43] Eeckhoudt, L.; Gollier, C.; Schlesinger, H., The risk-averse (and prudent) newsboy, Management Science, 41, 5, 786-794, (1995) · Zbl 0843.90036
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