Citation

Shiripour S, Mahdavi-Amiri N. Transp. Lett. 2021; 13(8): 568-590.

Copyright

(Copyright © 2021, Maney Publishing, Publisher Informa - Taylor and Francis Group)

DOI

10.1080/19427867.2020.1742417

PMID

unavailable

Abstract

We formulate an integrated mathematical model for distribution of the injured on a three-type transportation network with destroyable independent links and with actual travel times considering two different groups of the injured. The aim is to find the temporary locations for aid stations and their capacities, the percentage of the injured with various severities allocated to each station and to different routes and the number of vehicles so that the total relief time is minimized. For this, we present a new approach, called circle-based approach, in which the effects of the disaster are considered as a number of concentric circular regions. The original problem is formulated as an integer nonlinear mathematical model. To solve large problems, two algorithms, an evolutionary algorithm based on simulated annealing and a discrete version of the imperialist competitive algorithm, are developed. An empirical study of the earthquakes in the city of Tehran, Iran, is conducted.

Language: en

Keywords

actual travel times; circle-based approach; evolutionary algorithms; grouped injured people; integrated mathematical model; Multi-type transportation network