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Production planning for a deteriorating item with stochastic demand and consumer choice

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  • Lodree Jr., Emmett J.
  • Uzochukwu, Benedict M.

Abstract

This paper concerns inventory control of a deteriorating product with non-negligible procurement lead-time that perishes after a known number of periods. Demand for fresh products during each period is represented as a random variable with known probability distribution, but only a fraction of this demand is satisfied during any given period due to item deterioration. We derive the expected profit function for a two-period problem with one production opportunity before the selling season begins and a single product type with two-period shelf life. For the case in which demand during both periods is uniform, independent, and identically distributed, we identify sufficient conditions for the existence of an optimal solution and present a straightforward procedure for obtaining the solution.

Suggested Citation

  • Lodree Jr., Emmett J. & Uzochukwu, Benedict M., 2008. "Production planning for a deteriorating item with stochastic demand and consumer choice," International Journal of Production Economics, Elsevier, vol. 116(2), pages 219-232, December.
    • Handle: RePEc:eee:proeco:v:116:y:2008:i:2:p:219-232
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    1. A J Higgins & L A Laredo, 2006. "Improving harvesting and transport planning within a sugar value chain," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(4), pages 367-376, April.
    2. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    3. Biswas, Animesh & Pal, Bijay Baran, 2005. "Application of fuzzy goal programming technique to land use planning in agricultural system," Omega, Elsevier, vol. 33(5), pages 391-398, October.
    4. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    5. Timothy J. Lowe & Paul V. Preckel, 2004. "Decision Technologies for Agribusiness Problems: A Brief Review of Selected Literature and a Call for Research," Manufacturing & Service Operations Management, INFORMS, vol. 6(3), pages 201-208.
    6. Widodo, K.H. & Nagasawa, H. & Morizawa, K. & Ota, M., 2006. "A periodical flowering-harvesting model for delivering agricultural fresh products," European Journal of Operational Research, Elsevier, vol. 170(1), pages 24-43, April.
    7. Ferrer, Juan-Carlos & Mac Cawley, Alejandro & Maturana, Sergio & Toloza, Sergio & Vera, Jorge, 2008. "An optimization approach for scheduling wine grape harvest operations," International Journal of Production Economics, Elsevier, vol. 112(2), pages 985-999, April.
    8. Lodree, Emmett Jr., 2007. "Advanced supply chain planning with mixtures of backorders, lost sales, and lost contract," European Journal of Operational Research, Elsevier, vol. 181(1), pages 168-183, August.
    9. Itoh, Takeshi & Ishii, Hiroaki & Nanseki, Teruaki, 2003. "A model of crop planning under uncertainty in agricultural management," International Journal of Production Economics, Elsevier, vol. 81(1), pages 555-558, January.
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    Cited by:

    1. Chang, Chun-Tao & Teng, Jinn-Tsair & Goyal, Suresh Kumar, 2010. "Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand," International Journal of Production Economics, Elsevier, vol. 123(1), pages 62-68, January.
    2. Shunyu Yao & Neng Fan & Clark Seavert & Trent Teegerstrom, 2023. "Demand-Driven Harvest Planning and Machinery Scheduling for Guayule," SN Operations Research Forum, Springer, vol. 4(1), pages 1-25, March.
    3. Taleizadeh, Ata Allah & Noori-daryan, Mahsa & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "Joint optimization of price, replenishment frequency, replenishment cycle and production rate in vendor managed inventory system with deteriorating items," International Journal of Production Economics, Elsevier, vol. 159(C), pages 285-295.
    4. Zhangwei Feng & Peng Jin & Guiping Li, 2023. "Investment Decision of Blockchain Technology in Fresh Food Supply Chains Considering Misreporting Behavior," Sustainability, MDPI, vol. 15(9), pages 1-19, April.
    5. Hsu, P.H. & Wee, H.M. & Teng, H.M., 2010. "Preservation technology investment for deteriorating inventory," International Journal of Production Economics, Elsevier, vol. 124(2), pages 388-394, April.
    6. Bakker, Monique & Riezebos, Jan & Teunter, Ruud H., 2012. "Review of inventory systems with deterioration since 2001," European Journal of Operational Research, Elsevier, vol. 221(2), pages 275-284.
    7. Kusumastuti, Ratih Dyah & Donk, Dirk Pieter van & Teunter, Ruud, 2016. "Crop-related harvesting and processing planning: a review," International Journal of Production Economics, Elsevier, vol. 174(C), pages 76-92.
    8. Behzadi, Golnar & O’Sullivan, Michael Justin & Olsen, Tava Lennon & Zhang, Abraham, 2018. "Agribusiness supply chain risk management: A review of quantitative decision models," Omega, Elsevier, vol. 79(C), pages 21-42.
    9. Chen, Jing & Dong, Ming & Rong, Ying & Yang, Liang, 2018. "Dynamic pricing for deteriorating products with menu cost," Omega, Elsevier, vol. 75(C), pages 13-26.
    10. Haider Ali & Reshma Nasreen & Neetu Arneja & Chandra K. Jaggi, 2023. "Optimization of a periodically assessing model with manageable lead time under SLC with back order rebate for deteriorating items," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(1), pages 241-266, February.
    11. Sheng-I Chen & Wei-Fu Chen, 2021. "The Optimal Harvest Decisions for Natural and Artificial Maturation Mangoes under Uncertain Demand, Yields and Prices," Sustainability, MDPI, vol. 13(17), pages 1-17, August.
    12. Mirzapour Al-e-hashem, S.M.J. & Malekly, H. & Aryanezhad, M.B., 2011. "A multi-objective robust optimization model for multi-product multi-site aggregate production planning in a supply chain under uncertainty," International Journal of Production Economics, Elsevier, vol. 134(1), pages 28-42, November.
    13. Borodin, Valeria & Bourtembourg, Jean & Hnaien, Faicel & Labadie, Nacima, 2016. "Handling uncertainty in agricultural supply chain management: A state of the art," European Journal of Operational Research, Elsevier, vol. 254(2), pages 348-359.
    14. Behzadi, Golnar & O'Sullivan, Michael Justin & Olsen, Tava Lennon & Scrimgeour, Frank & Zhang, Abraham, 2017. "Robust and resilient strategies for managing supply disruptions in an agribusiness supply chain," International Journal of Production Economics, Elsevier, vol. 191(C), pages 207-220.
    15. Tai, Allen H. & Xie, Yue & He, Wanhua & Ching, Wai-Ki, 2019. "Joint inspection and inventory control for deteriorating items with random maximum lifetime," International Journal of Production Economics, Elsevier, vol. 207(C), pages 144-162.

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