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Optimization in public transportation. José Fernando Román Guzmán 11/28/12. The System: Transmilenio. “Tables”. The Problem. Kilometers assign to each company is equal to the participation times the total kilometers of all the “tables”.
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Optimization in public transportation José Fernando RománGuzmán 11/28/12
The Problem • Kilometers assign to each company is equal to the participation times the total kilometers of all the “tables”. • Assign all of the “tables” to the seven companies according to their participation • Minimize the hlp
Restrictions • Limited capacity in the parking lots • Different type of buses • Special requirement form the companies
The Solution • Linear Optimization using the simplex algorithm to find the real solution and then the branch and bound algorithm to find the integer solution • Only one person is responsible for the assignation of whole system • Reduction of the HLP(kilometers when the buses are not in service) of 25%
References • Web address (text): http://en.wikipedia.org/wiki/Drag_coefficient • Web address (map): http://www.transmilenio.gov.co/WebSite/Default.aspx