Improving the Performance of the Bilevel Solution for the Continuous Network Design Problem

For a long time, many researchers have investigated the continuous network design problem (CNDP) to distribute equitably additional capacity between selected links in a road network, to overcome traffic congestion in urban roads. In addition, CNDP plays a critical role for local authorities in tackl...

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Main Authors: Ozgur Baskan, Cenk Ozan, Mauro Dell’Orco, Mario Marinelli
Format: Article
Language:English
Published: University of Zagreb, Faculty of Transport and Traffic Sciences 2018-12-01
Series:Promet (Zagreb)
Subjects:
Online Access:https://traffic.fpz.hr/index.php/PROMTT/article/view/2789
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author Ozgur Baskan
Cenk Ozan
Mauro Dell’Orco
Mario Marinelli
author_facet Ozgur Baskan
Cenk Ozan
Mauro Dell’Orco
Mario Marinelli
author_sort Ozgur Baskan
collection DOAJ
description For a long time, many researchers have investigated the continuous network design problem (CNDP) to distribute equitably additional capacity between selected links in a road network, to overcome traffic congestion in urban roads. In addition, CNDP plays a critical role for local authorities in tackling traffic congestion with a limited budget. Due to the mutual interaction between road users and local authorities, CNDP is usually solved using the bilevel modeling technique. The upper level seeks to find the optimal capacity enhancements of selected links, while the lower level is used to solve the traffic assignment problem. In this study, we introduced the enhanced differential evolution algorithm based on multiple improvement strategies (EDEMIS) for solving CNDP. We applied EDEMIS first to a hypothetical network to show its ability in finding the global optimum solution, at least in a small network. Then, we used a 16-link network to reveal the capability of EDEMIS especially in the case of high demand. Finally, we used the Sioux Falls city network to evaluate the performance of EDEMIS according to other solution methods on a medium-sized road network. The results showed that EDEMIS produces better solutions than other considered algorithms, encouraging transportation planners to use it in large-scale road networks.
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spelling doaj.art-f26a48dd4b63459aa85b40cd8579916a2022-12-21T18:36:04ZengUniversity of Zagreb, Faculty of Transport and Traffic SciencesPromet (Zagreb)0353-53201848-40692018-12-0130670972010.7307/ptt.v30i6.27892789Improving the Performance of the Bilevel Solution for the Continuous Network Design ProblemOzgur Baskan0Cenk Ozan1Mauro Dell’Orco2Mario Marinelli3Pamukkale UniversityAdnan Menderes UniversityPolytechnic University of BariPolytechnic University of BariFor a long time, many researchers have investigated the continuous network design problem (CNDP) to distribute equitably additional capacity between selected links in a road network, to overcome traffic congestion in urban roads. In addition, CNDP plays a critical role for local authorities in tackling traffic congestion with a limited budget. Due to the mutual interaction between road users and local authorities, CNDP is usually solved using the bilevel modeling technique. The upper level seeks to find the optimal capacity enhancements of selected links, while the lower level is used to solve the traffic assignment problem. In this study, we introduced the enhanced differential evolution algorithm based on multiple improvement strategies (EDEMIS) for solving CNDP. We applied EDEMIS first to a hypothetical network to show its ability in finding the global optimum solution, at least in a small network. Then, we used a 16-link network to reveal the capability of EDEMIS especially in the case of high demand. Finally, we used the Sioux Falls city network to evaluate the performance of EDEMIS according to other solution methods on a medium-sized road network. The results showed that EDEMIS produces better solutions than other considered algorithms, encouraging transportation planners to use it in large-scale road networks.https://traffic.fpz.hr/index.php/PROMTT/article/view/2789continuous network designcapacity enhancementmutual interactionuser equilibrium
spellingShingle Ozgur Baskan
Cenk Ozan
Mauro Dell’Orco
Mario Marinelli
Improving the Performance of the Bilevel Solution for the Continuous Network Design Problem
Promet (Zagreb)
continuous network design
capacity enhancement
mutual interaction
user equilibrium
title Improving the Performance of the Bilevel Solution for the Continuous Network Design Problem
title_full Improving the Performance of the Bilevel Solution for the Continuous Network Design Problem
title_fullStr Improving the Performance of the Bilevel Solution for the Continuous Network Design Problem
title_full_unstemmed Improving the Performance of the Bilevel Solution for the Continuous Network Design Problem
title_short Improving the Performance of the Bilevel Solution for the Continuous Network Design Problem
title_sort improving the performance of the bilevel solution for the continuous network design problem
topic continuous network design
capacity enhancement
mutual interaction
user equilibrium
url https://traffic.fpz.hr/index.php/PROMTT/article/view/2789
work_keys_str_mv AT ozgurbaskan improvingtheperformanceofthebilevelsolutionforthecontinuousnetworkdesignproblem
AT cenkozan improvingtheperformanceofthebilevelsolutionforthecontinuousnetworkdesignproblem
AT maurodellorco improvingtheperformanceofthebilevelsolutionforthecontinuousnetworkdesignproblem
AT mariomarinelli improvingtheperformanceofthebilevelsolutionforthecontinuousnetworkdesignproblem