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# Motorway Interchange Location Model (Three Minutes Presentation)

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### Motorway Interchange Location Model (Three Minutes Presentation)

1. 1. Optimum Location of Motorway Interchanges: Concessionaires’ Perspective PhD student Hugo Repolho University of Coimbra PORTUGAL
2. 2. Introduction (1) OptimumLocationofMotorwayInterchanges: Concessionaires’Perspective OBJECTIVE: develop an optimization model for assisting toll-motorway concessionaires in the analysis of the most profitable solutions for Motorway Interchanges Location Problem. The location of the interchanges strongly impacts the amount of traffic that the motorway can capture from the existing road network. In Europe most motorways are owned by the State but operated by private concessionaires. The concessionaires may define certain design details for the motorway, namely the motorway interchanges location (access and exit points). Their profit comes from the application of a certain toll fee per mile to the motorway users.
3. 3. Introduction (2) OptimumLocationofMotorwayInterchanges: Concessionaires’Perspective 1 n m M i j i ASSUMPTIONS: There are two types of routes to consider: 1. Routes through the existing road network (choice 1); 2. Routes through a combination of existing roadway segments and new motorway segments (choice 2). • People will travel through the least cost route; • The proportion of people using the motorway increases as the travel costs decrease; Choice 1Choice 2
4. 4. MILM: model’s objective function OptimumLocationofMotorwayInterchanges: Concessionaires’Perspective          Mm m Ji jiJj Mm amnMn ijmnmnijmn wfyxdqtaMax ijmn ij : 0and: 02 OBJECTIVE FUNCTION: expresses the profit for the concessionaire, given as the difference between total toll fee revenue and fixed charges for installing and operating the interchanges and constructing the motorway. Total toll fee revenue Fixed charges The MILM can be seen as a particular case of the p-hub median problem, which was formulated by Campbell, 1994.
5. 5. Portuguese case study •Motorway A25 located in the center of Portugal •Dataset : 55 centers and 33 candidate motorway interchanges; ArcMap 9.2 Image OptimumLocationofMotorwayInterchanges: Concessionaires’Perspective
6. 6. Portuguese case study - Results ArcMap 9.2 Image 1 3 4 6 7 9 11 13 18 2624 28 33 10 14 15 17 29 22 31 18227 36404 45974 53140 55109 49081 52703 54942 53192 36569 34342 32250 36910 30873 31369 26624 25026 0 10000 20000 30000 40000 50000 60000 0.03 0.04 0.045 0.049 0.05 0.051 0.053 0.054 0.055 0.056 0.06 0.065 0.07 0.08 0.085 0.09 0.1 Profit(€/day) Toll fee (€/km) OptimumLocationofMotorwayInterchanges: Concessionaires’Perspective •The model was run for several Toll fee values.
7. 7. Final Considerations OptimumLocationofMotorwayInterchanges: Concessionaires’Perspective The optimum location of motorway interchanges under the concessionaires’ perspective follows a previous work done under the users’ perspective, which aimed to minimize travel costs. We believe that the concessionaires’ perspective is the most relevant in real- world applications. The models presented are useful in toll-motorway concessionaires’ cost-benefit analysis.
8. 8. Users’ Perspective… OptimumLocationofMotorwayInterchanges: Concessionaires’Perspective