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Inventory policy for products with price and time-dependent demands

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  • P-S You

    (National Chia-Yi University)

Abstract

This paper investigates the problem of jointly determining the order size and optimal prices for a perishable inventory system under the condition that demand is time and price dependent. It is assumed that a decision-maker has the opportunity to adjust prices before the end of the sales season to influence demand and to improve revenues. A mathematical model is developed to find the optimal number of prices, the optimal prices and the order quantity. Analytical results show that a stationary solution to the Kuhn–Tucker necessary conditions can be found and it is shown to be the optimal solution. The analytical results lead us to derive a solution procedure for determining the optimal order size and prices.

Suggested Citation

  • P-S You, 2005. "Inventory policy for products with price and time-dependent demands," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(7), pages 870-873, July.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:7:d:10.1057_palgrave.jors.2601905
    DOI: 10.1057/palgrave.jors.2601905
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    References listed on IDEAS

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    Cited by:

    1. Avinadav, Tal, 2020. "The effect of decision rights allocation on a supply chain of perishable products under a revenue-sharing contract," International Journal of Production Economics, Elsevier, vol. 225(C).
    2. Pando, Valentín & San-José, Luis A. & García-Laguna, Juan & Sicilia, Joaquín, 2013. "An economic lot-size model with non-linear holding cost hinging on time and quantity," International Journal of Production Economics, Elsevier, vol. 145(1), pages 294-303.
    3. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2014. "Optimal ordering and pricing policy for demand functions that are separable into price and inventory age," International Journal of Production Economics, Elsevier, vol. 155(C), pages 406-417.
    4. Umakanta Mishra & Leopoldo Eduardo Cárdenas-Barrón & Sunil Tiwari & Ali Akbar Shaikh & Gerardo Treviño-Garza, 2017. "An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment," Annals of Operations Research, Springer, vol. 254(1), pages 165-190, July.
    5. Herbon, Avi, 2017. "Should retailers hold a perishable product having different ages? The case of a homogeneous market and multiplicative demand model," International Journal of Production Economics, Elsevier, vol. 193(C), pages 479-490.
    6. Chernonog, Tatyana & Avinadav, Tal, 2019. "Pricing and advertising in a supply chain of perishable products under asymmetric information," International Journal of Production Economics, Elsevier, vol. 209(C), pages 249-264.
    7. Fleischmann, M. & Hall, J.M. & Pyke, D.F., 2005. "A Dynamic Pricing Model for Coordinated Sales and Operations," ERIM Report Series Research in Management ERS-2005-074-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    8. Onur Kaya & Aylin Lelizar Polat, 2017. "Coordinated pricing and inventory decisions for perishable products," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(2), pages 589-606, March.
    9. Chernonog, Tatyana, 2020. "Inventory and marketing policy in a supply chain of a perishable product," International Journal of Production Economics, Elsevier, vol. 219(C), pages 259-274.
    10. Avinadav, Tal & Herbon, Avi & Spiegel, Uriel, 2013. "Optimal inventory policy for a perishable item with demand function sensitive to price and time," International Journal of Production Economics, Elsevier, vol. 144(2), pages 497-506.
    11. K. M. Kamna & Prerna Gautam & Chandra K. Jaggi, 0. "Sustainable inventory policy for an imperfect production system with energy usage and volume agility," 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. 0, pages 1-9.
    12. Herbon, Avi & Lahav, Yael & Spiegel, Uriel, 2020. "A pricing scheme for a human embryo storage service as a source for a secondary market," Operations Research Perspectives, Elsevier, vol. 7(C).
    13. Herbon, Avi & Levner, Eugene & Cheng, T.C.E., 2014. "Perishable inventory management with dynamic pricing using time–temperature indicators linked to automatic detecting devices," International Journal of Production Economics, Elsevier, vol. 147(PC), pages 605-613.
    14. K. M. Kamna & Prerna Gautam & Chandra K. Jaggi, 2021. "Sustainable inventory policy for an imperfect production system with energy usage and volume agility," 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. 12(1), pages 44-52, February.
    15. Pal, Brojeswar & Sana, Shib Sankar & Chaudhuri, Kripasindhu, 2014. "Joint pricing and ordering policy for two echelon imperfect production inventory model with two cycles," International Journal of Production Economics, Elsevier, vol. 155(C), pages 229-238.
    16. Onur Kaya & Sajjad Rahimi Ghahroodi, 2018. "Inventory control and pricing for perishable products under age and price dependent stochastic demand," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 88(1), pages 1-35, August.

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