Path Flow Estimator in an Entropy Model Using a Nonlinear L-Shaped Algorithm

Maryam Abareshi, Mehdi Zaferanieh () and Bagher Keramati
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Maryam Abareshi: Semnan University
Mehdi Zaferanieh: Hakim Sabzevari University
Bagher Keramati: Semnan University

Networks and Spatial Economics, 2017, vol. 17, issue 1, No 12, 293-315

Abstract: Abstract The general problem of estimating origin-destination matrices in congested traffic networks is formulated as a mathematical program with equilibrium constraints. In this paper a path flow entropy model based on an equilibrium assignment approach is presented. It is assumed the flows on links are disaggregated due to some external reasons. Using the L-shaped algorithm the problem is transformed into a problem with less constraints. Then applying the lagrangian dual function the original problem is reduced to a nonlinear convex problem with only one linear constraint.

Keywords: Origin-destination matrix; Path flow estimation; Traffic count; Entropy model; L-shaped algorithm (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s11067-016-9327-9

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