Transport Engineering is applying science and technology in designing, planning, operating and managing the facilities of any type of transport to provide safe, efficient. rapid. comfortable and economical transportation. In order to do this we need Mathematical optimization models.
A combined model used by Watdrop and Dafermos & Sparrow was used to find an optimization model for Transport Engineering.
Watdrop models is based on two principles:
1st principle:
The journey times of all routes are equal, and is less than those that would be experience by one vehicle or any unused route.
2nd principle:
The average time of the journey is at its minimum.
Defermos & Sparrow model is based on two distinct behavior and principles:
1. User Optimization Equilibrium Principle:
The cost of the person using the transport network on the used paths for each origin/destination are equal and at the minimum.
2. System Optimization Principle:
The marginal total cost for travel used on the paths used for each origin/destination are equal and a minimum.
The combination of these two principles are used to design an optimization model for Transport Engineering. For more detailed information on this model, follow the link below.
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