Planning for Medical Emergency Transportation Vehicles during Natural Disasters

Document Type: Original Manuscript


1 Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

2 School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran



One of the main critical steps that should be taken during natural disasters is the assignment and distribution of resources among affected people. In such situations, this can save many lives. Determining the demands for critical items (i.e., the number of injured people) is very important. Accordingly, a number of casualties and injured people have to be known during a disaster. Obtaining an acceptable estimation of the number of casualties adds to the complexity of the problem. In this paper, a location-routing problem is discussed for urgent therapeutic services during disasters. The problem is formulated as a bi-objective Mixed-Integer Linear Programming (MILP) model. The objectives are to concurrently minimize the time of offering relief items to the affected people and minimize the total costs. The costs include those related to locations and transportation means (e.g., ambulances and helicopters) that are used to carry medical personnel and patients. To address the bi-objectiveness and verify the efficiency and applicability of the proposed model, the ε-constraint method is employed to solve several randomly-generated problems with CLEPX solver in GAMS. The obtained results include the objective functions, the number of the required facility, and the trade-offs between objectives. Then, the parameter of demands (i.e., number of casualties), which has the most important role, is examined using a sensitivity analysis and the managerial insights are discussed.

Graphical Abstract

Planning for Medical Emergency Transportation Vehicles during Natural Disasters


  • Developing bi-objective mathematical model for the for medical emergency transportation problem under uncertainty.
  • Considering the location of the stations and relief points as well as determination of the route of each vehicle.
  • Minimizing the response time within the crisis condition and cost.
  • Considering the relief vehicle fuel in the model
  • Providing the sensitivity analysis on the important parameters, such as the demand indicating the number of injured people


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