University of Twente Student Theses


Matrix Estimation with STAQ

Rijksen, H.B. (2018) Matrix Estimation with STAQ.

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Abstract:This research focuses on the matrix estimation problem for the assignment model STAQ. In the matrix estimation process, additional road information is used to refine the OD-matrices which are estimated in the first three steps of the four step model. The chosen assignment model, in this case STAQ, is needed in this matrix estimation process. As such, the matrix estimation problem is typically expressed as a bi-level optimization problem. Conventional matrix estimation methods as developed for traditional static traffic assignment models are not directly suitable for STAQ. The approximations of the link flows as considered in these methods do not account appropriately for capacity constraints. In this study a matrix estimation method for STAQ is investigated in which the link flows are approximated using a first order Taylor approximation. It has been shown that the proposed approach to determine the required sensitivities of the assignment matrix to changes in the OD-demands can lead to significant errors. However this should be investigated further on large scale networks. Furthermore it has been concluded that the upper level optimization problem in the proposed matrix estimation method can be solved best using a quadratic programming solver in Matlab.
Item Type:Essay (Master)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:55 traffic technology, transport technology
Programme:Applied Mathematics MSc (60348)
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