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Effect of declining selling price: profit analysis for a single period inventory model with stochastic demand and lead time

Author

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  • S Banerjee

    (Devi Ahilya University)

  • N S Meitei

    (Devi Ahilya University)

Abstract

In this paper, considering the empirical trend for sales and price of fashion apparels as prototype, optimal ordering policy for a single period stochastic inventory model is investigated. The impact of the presence of random lead time and declining selling price on the profitability of the retailer is explored. Existence of unique optimal solutions for net profit functions is proved. Numerical examples are presented to illustrate the method of identifying profitable levels of inventory holding and penalty costs. Percentage profit per unit investment in inventory is obtained in order to assist managers in taking business decisions, specifically to the extent of whether or not to take up a particular business under known constraints. It is demonstrated that the optimal inventory policy in the absence of price decline and lead time differs considerably from that when lead time and price decline are simultaneously considered.

Suggested Citation

  • S Banerjee & N S Meitei, 2010. "Effect of declining selling price: profit analysis for a single period inventory model with stochastic demand and lead time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 696-704, April.
    • Handle: RePEc:pal:jorsoc:v:61:y:2010:i:4:d:10.1057_jors.2009.28
    DOI: 10.1057/jors.2009.28
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    References listed on IDEAS

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    Cited by:

    1. Babai, M. Zied & Ivanov, Dmitry & Kwon, Oh Kang, 2023. "Optimal ordering quantity under stochastic time-dependent price and demand with a supply disruption: A solution based on the change of measure technique," Omega, Elsevier, vol. 116(C).
    2. Sharma, Ashish & Banerjee, Snigdha, 2013. "Optimal price markup policy for an inventory model with random price fluctuations and option for additional purchase," International Journal of Production Economics, Elsevier, vol. 146(2), pages 620-633.
    3. Mehran Ullah & Irfanullah Khan & Biswajit Sarkar, 2019. "Dynamic Pricing in a Multi-Period Newsvendor Under Stochastic Price-Dependent Demand," Mathematics, MDPI, vol. 7(6), pages 1-15, June.
    4. Chung, Wenming & Talluri, Srinivas & Narasimhan, Ram, 2015. "Optimal pricing and inventory strategies with multiple price markdowns over time," European Journal of Operational Research, Elsevier, vol. 243(1), pages 130-141.
    5. Yusen Xia, 2016. "Responding to supplier temporary price discounts in a supply chain through ordering and pricing decisions," International Journal of Production Research, Taylor & Francis Journals, vol. 54(7), pages 1938-1950, April.

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