A Revised Inventory Model with Shortages in Fuzzy and Intuitionistic Fuzzy Frameworks under Two Warehouses

Authors

  • Satyajit Sahoo * Department of Mathematics, Panskura Banamali College (Autonomous), Panskura RS-721152, WB, India.
  • Sumon Manna Department of Mathematics, Panskura Banamali College (Autonomous), Panskura RS-721152, WB, India.
  • Kazi Abdul Halim Department of Mathematics, Panskura Banamali College (Autonomous), Panskura RS-721152, WB, India.
  • Tanmoy Pal Department of Mathematics, Swami Vivekananda University, Barrackpore, Bara Kanthalia, 700121,WB, India.

https://doi.org/10.48314/anowa.v2i3.80

Abstract

This study considers a two-warehouse inventory system with quadratic demand, different deterioration rates and fully backlogged shortages. Ordering, holding, deterioration and shortage costs are represented by crisp values, triangular fuzzy numbers or triangular intuitionistic fuzzy numbers. The warehouse balance determines the time at which the owned stock is exhausted, and signed-distance rankings give scalar average-cost objectives for the two fuzzy formulations. Numerical optimization determines the rented-warehouse release time, the stock-exhaustion time, the replenishment cycle and the order quantity. A worked example and one-parameter sensitivity calculations compare the three cost assessments. The results show how the chosen cost spreads change the computed schedule and average cost; the comparisons concern these assessments rather than measured operating savings. 

Keywords:

Inventory, Two warehouses, Fuzzy sets, Intuitionistic fuzzy sets, Quadratic demand, Fuzzy total cost, Intuitionistic fuzzy total cost

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Published

2026-12-10

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Vol. 2 No. 3 (2026): Annals of Optimization With Applications (ANOWA)

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How to Cite

Sahoo, S. ., Manna, S. ., Halim, K. A. ., & Pal, T. . (2026). A Revised Inventory Model with Shortages in Fuzzy and Intuitionistic Fuzzy Frameworks under Two Warehouses. Annals of Optimization With Applications, 2(3), 188-202. https://doi.org/10.48314/anowa.v2i3.80

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