An Imperfect Production Inventory Model for Instantaneous Deteriorating Items with Preservation Investment Under Inflation on Time Value of Money

Authors

  • Surendra Vikram Singh Padiyar Department of Mathematics, Sardar Bhagat Singh PG College Rudrapur, Uttarakhand, India https://orcid.org/0000-0001-5705-6847
  • Vipin Chandra Kuraie Department of Mathematics, Graphic Era Hill University, Haldwani Campus, Nainital, Uttarakhand, India
  • Deepa Makholia Moti Ram Babu Ram Government Post Graduate College, Haldwani Nainital, Uttrakhand, India
  • S. R. Singh Department of Mathematics, Ch. Charan Singh University Meerut, Uttar Pradesh, India
  • Vaishali Singh Department of Mathematics, Ch. Charan Singh University Meerut, Uttar Pradesh, India
  • Navneet Joshi Department of Mathematics, Graphic Era Hill University, Bhimtal Campus, Nainital Uttarakhand, India

DOI:

https://doi.org/10.37256/cm.5220243274

Keywords:

imperfect items, deterioration, preservation investment, shortage, time value of money, inflation

Abstract

Effective inventory management is crucial for businesses dealing with deteriorating items, where demand is influenced not only by traditional factors but also dependent on the selling price. This research paper proposes a comprehensive inventory model that considers the dynamic nature of demand for deteriorating items and incorporates the impact of inflation on the time value of money, all within the context of an imperfect production and screening process. To reduce the waste of products, the proposed model uses a rework process to convert imperfect items into perfect ones. Additionally, this study incorporates preservation technology investment to alleviate the rate of deterioration under partially backlogged shortages. The incorporation of an imperfect production process further enhances the model’s practical applicability by addressing real-world scenarios where production may not always be flawless. The study employs mathematical modeling and optimization techniques to derive optimal ordering policies that balance the conflicting objectives of minimizing costs. To validate the model, numerical analysis has been performed, and the convexity of the total cost function has been shown graphically and analytically using MATHEMATICA software. Sensitivity analyses are conducted to assess the robustness of the proposed model under varying parameters, providing valuable insights for decision-makers.

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Published

2024-04-09

How to Cite

1.
Padiyar SVS, Chandra Kuraie V, Makholia D, Singh SR, Singh V, Joshi N. An Imperfect Production Inventory Model for Instantaneous Deteriorating Items with Preservation Investment Under Inflation on Time Value of Money. Contemp. Math. [Internet]. 2024 Apr. 9 [cited 2024 May 27];5(2):1422-46. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3274