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Constrained Optimization of a Newsboy Problem with Return Policy Using KKT Conditions and GA

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New Trends in Applied Artificial Intelligence (IEA/AIE 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4570))

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Abstract

A newsboy problem model in which a vendor has limited resource is developed. It is assumed that the supplier will either sell the items to the vendor outright or offer the items to the vendor with return policy. In the latter case, the supplier buys back at certain percentage of original cost from the vendor the unsold items at the end of the selling season. The purpose of this study is to investigate how the vendor should replenish the items with return policy, constrained resources and changing procured price. Three numerical examples are provided. In one example with two constrained variables, an optimal solution is derived by using KKT (Karush-Kuhn-Tucker) conditions. The other two multiple variables examples with a minimum service level or a limited budget are solved using GA (genetic algorithm).

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References

  1. Emmons, H., Gilbert, S.M.: The role of returns policies in pricing and inventory decisions for catalogue goods. Management Science 44(2), 277–283 (1998)

    Google Scholar 

  2. Mantrala, M.K., Raman, K.: Demand uncertainty and supplier’s returns policies for a multi-store style-good retailer. European Journal of Operational Research 115, 270–284 (1999)

    Article  MATH  Google Scholar 

  3. Pasternack, B.A.: Optimal pricing and return policies for perishable commodities. Marketing Science 4(2), 166–176 (1985)

    Article  Google Scholar 

  4. Khouja, M.: The single-period (news-vendor) problem: literature review and suggestions for future research. The International Journal of Management Science 27, 537–553 (1999)

    Google Scholar 

  5. Khouja, M.: The newsboy problem under progressive multiple discounts. European Journal of Operational Research 84, 458–466 (1995)

    Article  MATH  Google Scholar 

  6. Khouja, M., Mehrez, A.: A multi-product constrained newsboy problem with progressive multiple discounts. Computers & Industrial Engineering 30, 95–101 (1996)

    Article  Google Scholar 

  7. Lau, H.-S., Lau, A.H.-L.: The newsstand problem: A capacitated multi-product single-period inventory problem. European Journal of Operational Research 94, 29–42 (1996)

    Article  MATH  Google Scholar 

  8. Pasternack, B.A.: The capacitated newsboy problem with revenue sharing. Journal of Applied Mathematics and Decision Sciences 5(10), 21–33 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  9. Holland, J.H.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

  10. Jinxing, X., Jiefang, D.: Heuristic genetic algorithm for general capacitated lot-sizing problems. Computers and Mathematics with Applications 44, 263–276 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  11. Li, Y., Man, K.F., Tang, K.S.: Genetic algorithm to production planning and scheduling problems for manufacturing systems. Production Planning & Control 11(5), 443–458 (2000)

    Article  Google Scholar 

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Hiroshi G. Okuno Moonis Ali

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© 2007 Springer Berlin Heidelberg

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Yang, P.C., Wee, H.M., Chung, S.L., Kang, S.H. (2007). Constrained Optimization of a Newsboy Problem with Return Policy Using KKT Conditions and GA. In: Okuno, H.G., Ali, M. (eds) New Trends in Applied Artificial Intelligence. IEA/AIE 2007. Lecture Notes in Computer Science(), vol 4570. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73325-6_23

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  • DOI: https://doi.org/10.1007/978-3-540-73325-6_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73322-5

  • Online ISBN: 978-3-540-73325-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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