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Optimal pricing and replenishment policy for non-instantaneous deteriorating items with varying rate of demand and partial backlogging

Author

Listed:
  • Hardik N. Soni

    (Chimanbhai Patel Post Graduate Institute of Computer Applications)

  • Dipali N. Suthar

    (Kalol Institute of Technology and Research Centre)

Abstract

This paper proposes an inventory model for non-instantaneous deteriorating items with varying rate of demand and partial backlogging. The demand rate function has negative and positive exponential effect of price and promotional effort, respectively, when the product has no deterioration. Afterwards, the demand rate function assumes multiplicative exponential form of price-promotion and time wherein price-promotion and time each have exponential effect on demand rate. Under these settings, the criterion for optimal replenishment schedule, for any given selling price, is developed and deduced that optimal replenishment policy not only exist but also is unique. Next, it is shown that the total profit per unit time is concave function of price when optimal replenishment schedule is supplied. Numerical example is presented to demonstrate the applicability of the model accompanied by the sensitivity analysis. Results of numerical example indicates that granting promotional effort not only induces more demand but plays significant role to improve the profit.

Suggested Citation

  • Hardik N. Soni & Dipali N. Suthar, 2020. "Optimal pricing and replenishment policy for non-instantaneous deteriorating items with varying rate of demand and partial backlogging," OPSEARCH, Springer;Operational Research Society of India, vol. 57(3), pages 986-1021, September.
    • Handle: RePEc:spr:opsear:v:57:y:2020:i:3:d:10.1007_s12597-020-00451-y
    DOI: 10.1007/s12597-020-00451-y
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    References listed on IDEAS

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    1. Li, Guiping & He, Xiuli & Zhou, Jing & Wu, Hao, 2019. "Pricing, replenishment and preservation technology investment decisions for non-instantaneous deteriorating items," Omega, Elsevier, vol. 84(C), pages 114-126.
    2. Maihami, Reza & Nakhai Kamalabadi, Isa, 2012. "Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand," International Journal of Production Economics, Elsevier, vol. 136(1), pages 116-122.
    3. De, Sujit Kumar & Sana, Shib Sankar, 2013. "Fuzzy order quantity inventory model with fuzzy shortage quantity and fuzzy promotional index," Economic Modelling, Elsevier, vol. 31(C), pages 351-358.
    4. 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.
    5. Zhang, Ju-Liang & Chen, Jian & Lee, Chung-Yee, 2008. "Joint optimization on pricing, promotion and inventory control with stochastic demand," International Journal of Production Economics, Elsevier, vol. 116(2), pages 190-198, December.
    6. Shah, Nita H & Soni, Hardik N & Patel, Kamlesh A, 2013. "Optimizing inventory and marketing policy for non-instantaneous deteriorating items with generalized type deterioration and holding cost rates," Omega, Elsevier, vol. 41(2), pages 421-430.
    7. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    8. Dye, Chung-Yuan & Hsieh, Tsu-Pang & Ouyang, Liang-Yuh, 2007. "Determining optimal selling price and lot size with a varying rate of deterioration and exponential partial backlogging," European Journal of Operational Research, Elsevier, vol. 181(2), pages 668-678, September.
    9. Manisha Pal & Anwesha Samanta, 2018. "Inventory model for non-instantaneous deteriorating item with random pre-deterioration period," International Journal of Inventory Research, Inderscience Enterprises Ltd, vol. 5(1), pages 3-12.
    10. M. Valliathal & R. Uthayakumar, 2016. "Optimal replenishment policies of an EOQ model for non-instantaneous Weibull deteriorating items with ramp-type of demand under shortages," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 8(1), pages 60-86.
    11. Reza Maihami & Behrooz Karimi & Seyyed Mohammad Taghi Fatemi Ghomi, 2017. "Effect of two-echelon trade credit on pricing-inventory policy of non-instantaneous deteriorating products with probabilistic demand and deterioration functions," Annals of Operations Research, Springer, vol. 257(1), pages 237-273, October.
    12. Sujit De & Shib Sana, 2015. "Backlogging EOQ model for promotional effort and selling price sensitive demand- an intuitionistic fuzzy approach," Annals of Operations Research, Springer, vol. 233(1), pages 57-76, October.
    13. Shib Sankar Sana, 2016. "Optimal production lot size and reorder point of a two-stage supply chain while random demand is sensitive with sales teams' initiatives," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 450-465, January.
    14. Nita H. Shah & Monika K. Naik, 2018. "Inventory model for non-instantaneous deterioration and price-sensitive trended demand with learning effects," International Journal of Inventory Research, Inderscience Enterprises Ltd, vol. 5(1), pages 60-77.
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