Optimization for Emergency Inventory Planning under CycloneUncertainty Using Neutrosophic Trapezoidal Fuzzy Modelingand Geometric Programming

Abstract

Cyclone–related disasters require effective inventory planning due to uncertain demand,
disrupted logistics, and frequent shortages of essential supplies. This study develops a
decision – support framework to help optimize the supply of emergency relief items, such as
dry ration kits, drinking water, and first aid kits, within a short time of 60 hours. Cost
parameters are represented as neutrosophic trapezoidal fuzzy numbers, which are converted
into crisp values using a weighted average defuzzification method. The total cost function is
expressed in a posynomial form and optimized using geometric programming. The optimal
order quantity, shortage quantity and minimum total cost are determined for each relief kit.
Sensitivity analysis was performed to evaluate the uncertainty in demand and cost
parameters. The results show that combining neutrosophic trapezoidal fuzzy number and
geometric programming makes effective inventory decisions in humanitarian logistics.