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An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment

Author

Listed:
  • Umakanta Mishra

    (ICFAI University, Tripura)

  • Leopoldo Eduardo Cárdenas-Barrón

    (Tecnológico de Monterrey)

  • Sunil Tiwari

    (University of Delhi)

  • Ali Akbar Shaikh

    (Tecnológico de Monterrey)

  • Gerardo Treviño-Garza

    (BNSF Railway Company)

Abstract

This paper develops an EOQ inventory model that considers the demand rate as a function of stock and selling price. Shortages are permitted and two cases are studied: (i) complete backordering and (ii) partial backordering. The inventory model is for a deteriorating seasonal product. The product’s deterioration rate is controlled by investing in the preservation technology. The main purpose of the inventory model is to determine the optimum selling price, ordering frequency and preservation technology investment that maximizes the total profit. Additionally, the paper proves that the total profit is a concave function of selling price, ordering frequency and preservation technology investment. Therefore, a simple algorithm is proposed to obtain the optimal values for the decision variables. Several numerical examples are solved and studied along with a sensitivity analysis.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:254:y:2017:i:1:d:10.1007_s10479-017-2419-1
    DOI: 10.1007/s10479-017-2419-1
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    1. Lin Feng & Konstantina Skouri & Wan-Chih Wang & Jinn-Tsair Teng, 2022. "Optimal selling price, replenishment cycle and payment time among advance, cash, and credit payments from the seller’s perspective," Annals of Operations Research, Springer, vol. 315(2), pages 791-812, August.
    2. Winda Narulidea & Ahmad Rusdiansyah & Sri Gunani Partiwi, 2024. "Fresh product supply chain coordination using vendor managed inventory and consignment with revenue sharing over a finite planning horizon," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 23(5), pages 406-422, October.
    3. Chandra K. Jaggi & Mamta Gupta & Amrina Kausar & Sunil Tiwari, 2019. "Inventory and credit decisions for deteriorating items with displayed stock dependent demand in two-echelon supply chain using Stackelberg and Nash equilibrium solution," Annals of Operations Research, Springer, vol. 274(1), pages 309-329, March.
    4. Jitendra Kaushik, 2024. "An inventory model for deteriorating items towards trapezoidal type demand with preservation technology," OPSEARCH, Springer;Operational Research Society of India, vol. 61(4), pages 1681-1712, December.
    5. Dharamender Singh & Anurag Jayswal & Majed G. Alharbi & Ali Akbar Shaikh, 2021. "An Investigation of a Supply Chain Model for Co-Ordination of Finished Products and Raw Materials in a Production System under Different Situations," Sustainability, MDPI, vol. 13(22), pages 1-25, November.
    6. Falguni Mahato & Mukunda Choudhury & Sudipa Das & Gour Chandra Mahata, 2024. "Optimal pricing and replenishment decisions for non-instantaneous deteriorating items with a fixed lifetime and partial backordering under carbon regulations," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(8), pages 21399-21432, August.
    7. Ajoy Hatibaruah & Sumit Saha, 2023. "An inventory model for two-parameter Weibull distributed ameliorating and deteriorating items with stock and advertisement frequency dependent demand under trade credit and preservation technology," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 951-1002, June.
    8. Kartick Dey & Debajyoti Chatterjee & Subrata Saha & Ilkyeong Moon, 2019. "Dynamic versus static rebates: an investigation on price, displayed stock level, and rebate-induced demand using a hybrid bat algorithm," Annals of Operations Research, Springer, vol. 279(1), pages 187-219, August.
    9. Ranveer Singh Rana & Dinesh Kumar & Kanika Prasad & K. Mathiyazhagan, 2024. "Mitigating the impact of demand disruption on perishable inventory in a two-warehouse system," Operations Management Research, Springer, vol. 17(2), pages 469-504, June.
    10. Priyamvada & Rini & Aditi Khanna & Chandra K. Jaggi, 2021. "An inventory model under price and stock dependent demand for controllable deterioration rate with shortages and preservation technology investment: revisited," OPSEARCH, Springer;Operational Research Society of India, vol. 58(1), pages 181-202, March.
    11. Rabin Kumar Mallick & Kartik Patra & Shyamal Kumar Mondal, 2020. "Mixture inventory model of lost sale and back-order with stochastic lead time demand on permissible delay in payments," Annals of Operations Research, Springer, vol. 292(1), pages 341-369, September.
    12. Sebatjane, Makoena, 2022. "The impact of preservation technology investments on lot-sizing and shipment strategies in a three-echelon food supply chain involving growing and deteriorating items," Operations Research Perspectives, Elsevier, vol. 9(C).
    13. Nabajyoti Bhattacharjee & Nabendu Sen & Sanjukta Malakar, 2022. "A sustainable retailer’s inventory model to study the partial replacement for deteriorating items with variable shelf-life," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1502-1521, December.
    14. Luis A. San-José & Joaquín Sicilia & Manuel González-De-la-Rosa & Jaime Febles-Acosta, 2020. "Best pricing and optimal policy for an inventory system under time-and-price-dependent demand and backordering," Annals of Operations Research, Springer, vol. 286(1), pages 351-369, March.
    15. Ruihai Li & Jinn-Tsair Teng & Chun-Tao Chang, 2021. "Lot-sizing and pricing decisions for perishable products under three-echelon supply chains when demand depends on price and stock-age," Annals of Operations Research, Springer, vol. 307(1), pages 303-328, December.
    16. Chauhan, Ruchi & Majumder, Arunava & Kumar, Varun, 2023. "The impact of adopting customization policy and sustainability for improving consumer service in a dual-channel retailing," Journal of Retailing and Consumer Services, Elsevier, vol. 75(C).
    17. Ruihai Li & Jinn-Tsair Teng & Yingfei Zheng, 2019. "Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period," Annals of Operations Research, Springer, vol. 280(1), pages 377-405, September.
    18. Yiju Wang & Donglei Du & Jingfu Huang, 2021. "Optimal Replenishment Strategy for Inventory Mechanism with Step-Shaped Demand," Journal of Optimization Theory and Applications, Springer, vol. 190(3), pages 841-860, September.
    19. Cheng-Fu Huang, 2022. "System reliability for a multi-state distribution network with multiple terminals under stocks," Annals of Operations Research, Springer, vol. 311(1), pages 117-130, April.
    20. Naoufel Cheikhrouhou & Biswajit Sarkar & Baishakhi Ganguly & Asif Iqbal Malik & Rafael Batista & Young Hae Lee, 2018. "Optimization of sample size and order size in an inventory model with quality inspection and return of defective items," Annals of Operations Research, Springer, vol. 271(2), pages 445-467, December.

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