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The price-setting newsvendor with service and loss constraints


  • Jammernegg, Werner
  • Kischka, Peter


Current performance measurement systems consider not only financial measures, like costs and profits, but also non-financial indicators with respect to customer service, quality and flexibility. Using the newsvendor model, we analyse the respective influence of these possibly conflicting performance measures on important operations and marketing decisions, for instance the order quantity and the selling price of a product. As in the classical newsvendor model for price-independent as well as price-dependent demand distribution, the objective of the firm is to maximise expected profit. In this paper, we also consider a service constraint—a lower bound for the level of product availability—and a loss constraint—an upper bound for the probability of a loss occurring. For both models, we provide conditions for the existence of solutions. We then analyse the influence of demand variability using a set of conditions specifying the quantiles of the predetermined performance measures: a higher variability of demand implies a smaller admissible region of the decision variables. In the price-independent case, the optimal solution has a control-limit structure: the optimal order quantity is thus given either by the classical newsvendor solution or by the control-limits corresponding to the constraints. In the price-setting model with multiplicative demand, this structure is used to check whether small admissible prices are determined by the service constraint or by the loss constraint. Using these structural results, a procedure is developed to more easily enable the computation of the optimal values of the order quantity, selling price and expected profit.

Suggested Citation

  • Jammernegg, Werner & Kischka, Peter, 2013. "The price-setting newsvendor with service and loss constraints," Omega, Elsevier, vol. 41(2), pages 326-335.
  • Handle: RePEc:eee:jomega:v:41:y:2013:i:2:p:326-335
    DOI: 10.1016/

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    References listed on IDEAS

    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Maurice E. Schweitzer & Gérard P. Cachon, 2000. "Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence," Management Science, INFORMS, vol. 46(3), pages 404-420, March.
    3. Werner Jammernegg & Peter Kischka, 2007. "Risk-averse and risk-taking newsvendors: a conditional expected value approach," Review of Managerial Science, Springer, vol. 1(1), pages 93-110, April.
    4. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    5. Yang, Shilei & Shi, Chunming Victor & Zhao, Xuan, 2011. "Optimal ordering and pricing decisions for a target oriented newsvendor," Omega, Elsevier, vol. 39(1), pages 110-115, January.
    6. Xu, Xiaolin & Cai, Xiaoqiang & Chen, Youhua, 2011. "Unimodality of price-setting newsvendor's objective function with multiplicative demand and its applications," International Journal of Production Economics, Elsevier, vol. 133(2), pages 653-661, October.
    7. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2012. "Risk tolerance and a retailer's pricing and ordering policies within a newsvendor framework," Omega, Elsevier, vol. 40(2), pages 188-198, April.
    8. Qin, Yan & Wang, Ruoxuan & Vakharia, Asoo J. & Chen, Yuwen & Seref, Michelle M.H., 2011. "The newsvendor problem: Review and directions for future research," European Journal of Operational Research, Elsevier, vol. 213(2), pages 361-374, September.
    9. Xu, Minghui & Chen, Youhua (Frank) & Xu, Xiaolin, 2010. "The effect of demand uncertainty in a price-setting newsvendor model," European Journal of Operational Research, Elsevier, vol. 207(2), pages 946-957, December.
    10. Wang, Charles X. & Webster, Scott, 2009. "The loss-averse newsvendor problem," Omega, Elsevier, vol. 37(1), pages 93-105, February.
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    Cited by:

    1. Khouja, Moutaz, 2016. "Late season low inventory assortment effects in the newsvendor problem," Omega, Elsevier, vol. 63(C), pages 123-133.
    2. Wang, Yulan & Wallace, Stein W. & Shen, Bin & Choi, Tsan-Ming, 2015. "Service supply chain management: A review of operational models," European Journal of Operational Research, Elsevier, vol. 247(3), pages 685-698.
    3. Raza, Syed Asif, 2015. "An integrated approach to price differentiation and inventory decisions with demand leakage," International Journal of Production Economics, Elsevier, vol. 164(C), pages 105-117.
    4. Serel, Doğan A., 2017. "A single-period stocking and pricing problem involving stochastic emergency supply," International Journal of Production Economics, Elsevier, vol. 185(C), pages 180-195.
    5. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    6. Abad, Prakash, 2014. "Determining optimal price and order size for a price setting newsvendor under cycle service level," International Journal of Production Economics, Elsevier, vol. 158(C), pages 106-113.
    7. Lu, Xin & Shang, Jennifer & Wu, Shin-yi & Hegde, Gajanan G. & Vargas, Luis & Zhao, Daozhi, 2015. "Impacts of supplier hubris on inventory decisions and green manufacturing endeavors," European Journal of Operational Research, Elsevier, vol. 245(1), pages 121-132.
    8. Serel, Doğan A., 2015. "Production and pricing policies in dual sourcing supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 76(C), pages 1-12.
    9. Pando, Valentín & San-José, Luis A. & García-Laguna, Juan & Sicilia, Joaquín, 2013. "A newsboy problem with an emergency order under a general backorder rate function," Omega, Elsevier, vol. 41(6), pages 1020-1028.
    10. V. Pando & L. San-José & J. García-Laguna & J. Sicilia, 2014. "Some general properties for the newsboy problem with an extraordinary order," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 674-693, July.
    11. Ye, Taofeng & Sun, Hao, 2016. "Price-setting newsvendor with strategic consumers," Omega, Elsevier, vol. 63(C), pages 103-110.


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