Annals of Operations Research

, Volume 233, Issue 1, pp 449–463 | Cite as

Sequential unreliable newsboy ordering policies

  • Divya Tiwari
  • Rahul PatilEmail author
  • Janat Shah


In this paper, we show how ordering time can be used as a mechanism to mitigate the supply risks of the unreliable newsboy. We consider the situation where a firm has an option of placing a series of sequential orders such that a new order is placed only after the yield from the previous order is known and derive an optimal order quantity for each ordering stage. The effectiveness of our approach is assessed by comparing its expected cost with the expected cost of the conventional reliable newsboy problem. It is demonstrated that the adverse effect of supply side risks can be almost completely negated by adopting our approach when the combined purchasing and holding costs for a low cost supplier at an earlier stage are equal to those of a high cost supplier at the next stage. Computational experiments suggest that the sequential ordering policy performs better than a simultaneous ordering strategy when customer service level norms become stringent and inventory holding costs decrease.


Unreliable newsboy Supply chain risk management Stochastic dynamic programming Multiple lot sizing 


  1. Babich, V., Burnetas, A. N., & Ritchken, P. H. (2007). Competition and diversification effects in supply chains with supplier default risk. Manufacturing and Service Operations Management, 9(2), 123–146.CrossRefGoogle Scholar
  2. Burke, G. J., Carrillo, J. E., & Vakharia, A. J. (2007). Single versus multiple supplier sourcing strategies. European Journal of Operational Research, 182, 95–112.CrossRefGoogle Scholar
  3. Burke, G. J., Carrillo, J. E., & Vakharia, A. J. (2009). Sourcing decisions with stochastic supplier reliability and stochastic demand. Production and Operations Management, 18(4), 475–484.CrossRefGoogle Scholar
  4. Chao, X., Gong, X., & Zheng, S. (2014). Optimal pricing and inventory policies with reliable and random-yield suppliers: characterization and comparison. Annals of operations Research. doi: 10.1007/s10479-014-1547-0.
  5. Chen, W., Feng, Q., & Seshadri, S. (2013). Sourcing from suppliers with random yield for price-dependent demand. Annals of Operations Research, 208, 557–579. doi: 10.1007/s10479-011-1046-5.
  6. Dada, M., Petruzzi, N. C., & Schwarz, L. B. (2007). A newsvendor’s procurement problem when suppliers are unreliable. Manufacturing and Service Operations Management, 9(1), 9–32.CrossRefGoogle Scholar
  7. Federgruen, A., & Yang, N. (2009). Optimal supply diversification under general supply risks. Operations Research, 57(6), 1451–1468.CrossRefGoogle Scholar
  8. Federgruen, A., & Yang, N. (2011). Supply chain management under simultaneous supply and demand risks. In H. Gurnani, A. Mehrotra, & S. Ray (Eds.), Supply chain disruptions: Theory and practice of managing risk. London: Springer.Google Scholar
  9. Gerchak, Y. (1996). A newsvendor with multiple, unreliable, all or- nothing suppliers. Working paper. Waterloo, ON: University of Waterloo.Google Scholar
  10. Gerchak, Y., Vickson, R. G., & Parlar, M. (1988). Periodic review production models with variable yield and uncertain demand. IIE Transactions, 20(2), 144–150.CrossRefGoogle Scholar
  11. Grosfeld-Nir, A., & Gerchak, Y. (1996). Production to order with random yields: Single-stage multiple lot sizing. IIE Transactions, 28, 669–676.Google Scholar
  12. Grosfeld-Nir, A., & Gerchak, Y. (2004). Multiple lot-sizing in production to order with random yields: Review of recent advances. Annals of Operations Research, 126, 43–69.CrossRefGoogle Scholar
  13. Gurnani, H., Akella, R., & Lehoczky, J. (1996). Optimal order policies in assembly systems with random demand and random supplier delivery. IIE Transactions, 28, 865–878.Google Scholar
  14. Guu, S.-M., & Zhang, A. X. (2003). The finite multiple lot sizing problem with interrupted geometric yield and holding costs. European Journal of Operational Research, 145(3), 635–644.CrossRefGoogle Scholar
  15. Hammond, J. H., & Raman, A. (1994). Sport Obermeyer Ltd. HBR case study no. 695022.Google Scholar
  16. Henig, M., & Gerchak, Y. (1990). The structure of periodic review policies in the presence of random yield. Operations Research, 38(4), 634–642.CrossRefGoogle Scholar
  17. Inderfurth, K. (2004). Analytical solution for a single-period production-inventory problem with uniformly distributed yield and demand. Central European Journal of Operations Research, 12, 117–127.Google Scholar
  18. Jones, P. C., Lowe, T. J., Traub, R. D., & Kegler, G. (2001). Matching supply and demand: The value of a second chance in producing hybrid seed corn. Manufacturing and Service Operations Management, 3, 122–137.CrossRefGoogle Scholar
  19. Kazaz, B. (2004). Production planning under yield and demand uncertainty with yield-dependent cost and price. Manufacturing and Service Operations Management, 6(3), 209–224.CrossRefGoogle Scholar
  20. Leidy, M. P. (1992). Hedging across suppliers under stochastic input deliveries. Economic Notes, 21, 39–59.Google Scholar
  21. Merzifonluoglu, Y., & Feng, Y. (2013). Newsboy problem with multiple unreliable suppliers. International Journal of Production Research. doi: 10.1080/00207543.2013.835497.
  22. Ozekici, S., & Parlar, M. (1999). Inventory models with unreliable suppliers in a random environment. Annals of Operations Research, 91, 123–136.CrossRefGoogle Scholar
  23. Parlar, M., & Wang, D. (1993). Diversification under yield randomness in inventory models. European Journal of Operational Research, 66, 52–64.CrossRefGoogle Scholar
  24. Parlar, M., Wang, Y., & Gerchak, Y. (1995). A periodic review inventory model with Markovian supply availability. International Journal of Production Economics, 42(2), 131–136.CrossRefGoogle Scholar
  25. Qin, Y., Wang, R., Vakharia, A. J., Chen, Y., & Seref, M. (2010). The newsvendor problem: Review and directions for future research. European Journal of Operational Research. doi: 10.1016/j.ejor.2010.11.024.
  26. Rekik, Y., Sahin, E., & Dallery, Y. (2007). A comprehensive analysis of the newsvendor model with unreliable supply. OR Spectrum, 29(2), 207–233.CrossRefGoogle Scholar
  27. Stecke, K., & Kumar, S. (2009). Sources of supply chain disruptions, factors that breed vulnerability, and mitigating strategies. Journal of Marketing Channels, 16(3), 193–226.CrossRefGoogle Scholar
  28. Tiwari, D., Patil, R., & Shah, J. (2011). Unreliable newsboy problem with a forecast update. Operations Research letters, 39, 278–282.CrossRefGoogle Scholar
  29. Tomlin, B., & Wang, Y. (2005). On the value of mix-flexibility and dual sourcing in Unreliable newsvendor networks. Manufacturing and Service Operations Management, 7(1), 37–57.CrossRefGoogle Scholar
  30. Tomlin, B. (2009). The impact of supply learning when suppliers are unreliable. Manufacturing and Service Operations Management, 11(2), 192–209.CrossRefGoogle Scholar
  31. Turnbull, G. K. (1986). Theory of the firm under the threat of input supply interruption. Southern Economic Journal, 53, 807–817.CrossRefGoogle Scholar
  32. Yano, C. A., & Lee, H. L. (1995). Lot sizing with random yield: A review. Operations Research, 43(2), 311–334.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.BangaloreIndia
  2. 2.SJMSOMIIT BombayMumbaiIndia
  3. 3.IIM UdaipurUdaipurIndia

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