Spatial optimization for land acquisition problems: A review of models, solution methods, and GIS support

N Xiao, AT Murray - Transactions in GIS, 2019 - Wiley Online Library
This article reviews the interdisciplinary research field of spatial optimization for land
acquisition problems. We start with a theoretical framework to identify three categories of …

The ordered capacitated multi-objective location-allocation problem for fire stations using spatial optimization

S Bolouri, A Vafaeinejad, AA Alesheikh… - … International Journal of …, 2018 - mdpi.com
Determining the positions of facilities, and allocating demands to them, is a vitally important
problem. Location-allocation problems are optimization NP-hard procedures. This article …

Cyberinfrastructure, GIS, and spatial optimization: opportunities and challenges

W Li, K Cao, RL Church - International Journal of Geographical …, 2016 - Taylor & Francis
Spatial optimization deals with a variety of problems involved in arranging, operating, and
designing systems of activities across a spatial domain. It is comprised of both models and …

The ordered k-median problem: surrogate models and approximation algorithms

A Aouad, D Segev - Mathematical Programming, 2019 - Springer
In the last two decades, a steady stream of research has been devoted to studying various
computational aspects of the ordered k-median problem, which subsumes traditional facility …

Identifying Critical Facilities in Hub‐and‐Spoke Networks: A Hub Interdiction Median Problem

TL Lei - Geographical Analysis, 2013 - Wiley Online Library
The hub location problem has been widely used in analyzing hub-and-spoke systems. The
basic assumption is that a large number of demands exist to travel from origins to …

A unified approach for location-allocation analysis: integrating GIS, distributed computing and spatial optimization

TL Lei, RL Church, Z Lei - International Journal of Geographical …, 2016 - Taylor & Francis
Location-allocation modeling is an important area of research in spatial optimization and
GIScience. A large number of analytical models for location-allocation analysis have been …

[HTML][HTML] Ordered weighted average combinatorial optimization: Formulations and their properties

E Fernández, MA Pozo, J Puerto - Discrete Applied Mathematics, 2014 - Elsevier
Multiobjective combinatorial optimization deals with problems considering more than one
viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing …

Multi‐type, multi‐zone facility location

AM Heyns, JH van Vuuren - Geographical Analysis, 2018 - Wiley Online Library
The placement of facilities according to spatial and/or geographic requirements is a popular
problem within the domain of location science. Objectives that are typically considered in …

On the unified dispersion problem: Efficient formulations and exact algorithms

TL Lei, RL Church - European Journal of Operational Research, 2015 - Elsevier
Facility dispersion problems involve placing a number of facilities as far apart from each
other as possible. Four different criteria of facility dispersal have been proposed in the …

Environmental sustainable development optimizing the location of urban facilities using vector assignment ordered median problem-integrated GIS

S Bolouri, A Vafeainejad, A Alesheikh… - International Journal of …, 2020 - Springer
The concept of environmental sustainable development is in fact a response to the
environmental and social damaging effects. Urban sustainable development is one of the …