Background and objective: Natural disasters have affected the Earth and cause damage to people, such as injury, disease, malnutrition, psychological stress and death. One of the most important natural disasters is flood that happens irreparable effects on the prevalence of physical and financial life. Many regions throughout the world, have experienced floods caused by heavy rains. However, given the Tehran 3rd District, the northern metropolis of Tehran, which covers an area of 31/208 square kilometers. According to statistics from 1390, occupies about 53 percent of the residential areas with a population of about 293,181 people. In terms of urban issues and urban planning, it must be acknowledged that the study area has a high diversity of users and the floor and pavement and sidewalks and a lack of permeable surfaces, problems related to the region vulnerable to floods has increased. Therefore, this paper aims to plan in this area to reduce vulnerability.

Method: In this model, the objective of locating warehouses of relief with regard to multi-commodity and multi-period and with regard to the maximum cover damaged areas as well as entering the limited capacity of each commodity in the warehouses at the time of crisis flood presented. To solve the dual objective of the method used Epsilon constraints.

Findings: As the number of warehouses covering the damaged areas increases also with an increase in coverage, the objective function decreases costs due to increased fixed cost of warehouses with total costs.

Results: With respect to the high vulnerability of this area, the proposed model can help distributing relief commodities and reducing the  of the affected people.

Type of paper: Research article