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A newsvendor analysis of a binomial yield production process

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  • Choi, Sungyong
  • Jeon, Sumin
  • Kim, Jinmin
  • Park, Kwangtae

Abstract

We study a binomial yield production process using a newsvendor approach by considering the mismatch costs between a given demand and a non-defective yield amount. Using a normal approximation, we reformulate the original discrete and exact model as a continuous and approximate model. We conduct a comparative static analysis of the parameters in the approximate model and derive the monotone properties of the (approximate) optimal solution in the case that the given demand is sufficiently large. The analytical results are all consistent with our insights and are also supported by economic explanations. Our numerical study with sample-based optimization indicates that the approximate model is sufficiently close to the exact model in most real-world examples, with some limiting cases included. Then, a simple and naive solution is found to have significant suboptimality. Finally, the results of a sensitivity analysis of the model parameters are confirmed numerically.

Suggested Citation

  • Choi, Sungyong & Jeon, Sumin & Kim, Jinmin & Park, Kwangtae, 2019. "A newsvendor analysis of a binomial yield production process," European Journal of Operational Research, Elsevier, vol. 273(3), pages 983-991.
  • Handle: RePEc:eee:ejores:v:273:y:2019:i:3:p:983-991
    DOI: 10.1016/j.ejor.2018.09.029
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    References listed on IDEAS

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    1. Wang, Yunzeng & Gerchak, Yigal, 2000. "Input control in a batch production system with lead times, due dates and random yields," European Journal of Operational Research, Elsevier, vol. 126(2), pages 371-385, October.
    2. 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.
    3. Gurnani, Haresh & Gerchak, Yigal, 2007. "Coordination in decentralized assembly systems with uncertain component yields," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1559-1576, February.
    4. Steven Nahmias & Kamran Moinzadeh, 1997. "Lot Sizing with Randomly Graded Yields," Operations Research, INFORMS, vol. 45(6), pages 974-989, December.
    5. T W Sloan, 2004. "A periodic review production and maintenance model with random demand, deteriorating equipment, and binomial yield," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 647-656, June.
    6. Shapiro, Alexander, 2008. "Asymptotics of minimax stochastic programs," Statistics & Probability Letters, Elsevier, vol. 78(2), pages 150-157, February.
    7. Abraham Grosfeld-Nir & Yigal Gerchak, 2002. "Multistage Production to Order with Rework Capability," Management Science, INFORMS, vol. 48(5), pages 652-664, May.
    8. Shoshana Anily & Abraham Grosfeld-Nir, 2006. "An Optimal Lot-Sizing and Offline Inspection Policy in the Case of Nonrigid Demand," Operations Research, INFORMS, vol. 54(2), pages 311-323, April.
    9. Abraham Grosfeld-Nir & Boaz Ronen, 1993. "A Single Bottleneck System with Binomial Yields and Rigid Demand," Management Science, INFORMS, vol. 39(5), pages 650-653, May.
    10. Grosfeld-Nir, Abraham & Robinson, Lawrence W., 1995. "Production to order on a two machine line with random yields and rigid demand," European Journal of Operational Research, Elsevier, vol. 80(2), pages 264-276, January.
    11. Grosfeld-Nir, Abraham, 2005. "A two-bottleneck system with binomial yields and rigid demand," European Journal of Operational Research, Elsevier, vol. 165(1), pages 231-250, August.
    12. Candace Arai Yano & Hau L. Lee, 1995. "Lot Sizing with Random Yields: A Review," Operations Research, INFORMS, vol. 43(2), pages 311-334, April.
    13. Choi, Sungyong & Ruszczynski, Andrzej, 2011. "A multi-product risk-averse newsvendor with exponential utility function," European Journal of Operational Research, Elsevier, vol. 214(1), pages 78-84, October.
    14. Sungyong Choi & Andrzej Ruszczyński & Yao Zhao, 2011. "A Multiproduct Risk-Averse Newsvendor with Law-Invariant Coherent Measures of Risk," Operations Research, INFORMS, vol. 59(2), pages 346-364, April.
    15. Grosfeld-Nir, Abraham & Anily, Shoshana & Ben-Zvi, Tal, 2006. "Lot-sizing two-echelon assembly systems with random yields and rigid demand," European Journal of Operational Research, Elsevier, vol. 173(2), pages 600-616, September.
    16. Hau L. Lee & Candace Arai Yano, 1988. "Production Control in Multistage Systems with Variable Yield Losses," Operations Research, INFORMS, vol. 36(2), pages 269-278, April.
    17. Abraham Grosfeld-Nir & Yigal Gerchak & Qi-Ming He, 2000. "Manufacturing to Order with Random Yield and Costly Inspection," Operations Research, INFORMS, vol. 48(5), pages 761-767, October.
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