Research Article

A Bilevel Multiobjective Optimisation Approach for Solving the Evacuation Location Assignment Problem

Table 1

Notation adopted in proposed model.

NotationDescription

Dummy node
Set of all potential shelter locations
Set of all evacuees residential zones
Set of all nodes in the network
The set of OD pairs, defined within the network as a single commodity with destination assigned as S
Set of all real links connecting nodes in
Set of links connecting nodes and
Set of all links
Demand flow, originating at node and heading towards node
Population of people at node
Free flow travel time on link
Existing capacity of link
Binary variable, which equals 1 if shelter is placed at location and 0 otherwise
Flow on link for each commodity with destination S
Travel cost variable, defined as a positive and continuous function of total flow on link ,
Auxiliary binary variables
,Auxiliary continuous variable