Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
The Weber problem in congested regions with entry and exit points
Date
2015-10-01
Author
Farham, Mohammad Saleh
Süral, Haldun
İyigün, Cem
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
46
views
0
downloads
Cite This
The Weber problem is about finding a facility location on a plane such that the total weighted distance to a set of given demand points is minimized. The facility location and access routes to the facility can be restricted if the Weber problem contains congested regions, some arbitrary shaped polygonal areas on the plane, where location of a facility is forbidden and traveling is allowed at an additional fixed cost. Traveling through congested regions may also be limited to certain entry and exit points (or gates). It is shown that the restricted Weber problem is non-convex and nonlinear under Euclidean distance metric which justifies using heuristic approaches. We develop an evolutionary algorithm modified with variable neighborhood search to solve the problem. The algorithm is applied on test instances derived from the literature and the computational results are presented.
Subject Keywords
The Weber Problem
,
Restricted Facility Location
,
Congested Regions
,
Evolutionary Algorithm
URI
https://hdl.handle.net/11511/36800
Journal
COMPUTERS & OPERATIONS RESEARCH
DOI
https://doi.org/10.1016/j.cor.2014.10.014
Collections
Department of Industrial Engineering, Article
Suggestions
OpenMETU
Core
A minisum location problem with regional demand considering farthest Euclidean distances
DİNLER, DERYA; Tural, Mustafa Kemal (2016-06-01)
We consider a continuous multi-facility location-allocation problem that aims to minimize the sum of weighted farthest Euclidean distances between (closed convex) polygonal and/or circular demand regions, and facilities they are assigned to. We show that the single facility version of the problem has a straightforward second-order cone programming formulation and can therefore be efficiently solved to optimality. To solve large size instances, we adapt a multi-dimensional direct search descent algorithm to ...
A Multi-level continuous minimax location problem with regional demand
Faridyahyaei, Amin; Tural, Mustafa Kemal; Department of Industrial Engineering (2017)
The minimax facility location problem seeks for the optimal locations of the facilities in the plane so that the maximum Euclidean distance between the demanding entities (given points in the plane) and their corresponding nearest facilities is minimized. In the solutions, remote entities (irrespective of their weights) tend to pull the facilities toward themselves which may result in larger distances for the other entities. In this thesis, we consider a multi-level minimax location problem which allows som...
A generalized Weiszfeld method for the multi-facility location problem
İyigün, Cem (2010-05-01)
An iterative method is proposed for the K facilities location problem. The problem is relaxed using probabilistic assignments, depending on the distances to the facilities. The probabilities, that decompose the problem into K single-facility location problems, are updated at each iteration together with the facility locations. The proposed method is a natural generalization of the Weiszfeld method to several facilities.
Solution approaches for single-source capacitated multi facility weber problem
Damgacıoğlu, Haluk; İyigün, Cem; Department of Industrial Engineering (2014)
Single Source Capacitated Multi Facility Location Problem (SSCMFLP) is a continuous location-allocation problem such that determining the locations of p facilities in the plane and allocations of n demand points to only one facility by considering the capacity restriction of each facility so as to minimize total transportation cost to satisfy n demand points from p facilities. In addition to Mixed Integer Non-Linear Programming formulation of the problem in the literature, we give a new formulation for the ...
Generalization of restricted planar location problems : unified meta-heuristics for single facility case
Farham, Mohammad Saleh; Süral, Haldun; İyigün, Cem; Department of Industrial Engineering (2013)
A planar single facility location problem, also known as the Fermat–Weber problem, is to ﬁnd a facility location such that the total weighted distance to a set of given demand points is minimized. A variation to this problem is obtained if there is a restriction coming from congested regions. In this study, congested regions are considered as arbitrary shaped polygonal areas on the plane where location of a facility is forbidden and traveling is charged with an additional ﬁxed cost. The traveling ﬁxed cost ...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
M. S. Farham, H. Süral, and C. İyigün, “The Weber problem in congested regions with entry and exit points,”
COMPUTERS & OPERATIONS RESEARCH
, pp. 177–183, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36800.