Redistribution for cost minimization in disaster management under uncertainty with trapezoidal neutrosophic number

Abstract

The activity of humanitarian logistic is urgently employed in the aftermath of the disaster. The sudden shock of disaster emerges high demand in the society. In this context, this research has introduced a mathematical model for humanitarian logistic applying the fact of redistribution of resources. The model aims to minimize the total cost of whole operation and the total time for redistribution phase so as to response the emergency situation quickly. According to the model distribution of humanitarian items to the affected areas are commenced by a governing authority in the first phase. The phase of redistribution is started after a certain period of time when some areas get relief and some are still unable to recover their vulnerable condition after the disaster. The concept of redistribution, established in the logistic model is beneficial for better response in the emergency condition as it quickly redistributed the resources from the areas which are recovered to the areas still being affected. The performance of the model is analyzed with some numerical data considering the uncertain parameter in the form of a trapezoidal Neutrosophic number. The model is solved through three different techniques: Neutrosophic programming approach, goal programming, and Pareto optimal solution approach. Moreover, a comparative analysis is performed in this study among the results obtained by three different techniques which are useful for the decision maker to make a practical decision in emergency response.