Skip to Main content Skip to Navigation
Journal articles

Inverse identification of inputs of a random utility based model using optimal control

Abstract : The random utility based multiregional input-output (RUBMRIO) model is used by several integrated land use and transportation models (ILUTMs) to forecast commodity flows in a region and for spatial allocation of production activities. It makes use of multiregional input-output models which are based on random utility theory. In this work, we use optimal control techniques to find optimal final demand and transportation costs of a RUBMRIO model, that would lead to a desired level of commodity flow and production costs. At first, the RUBMRIO model is formulated as a discrete time dynamical system. It is shown, using Lyapunov argument, that the fixed point of the dynamical system is input-to-state stable (ISS). Then, a discrete time optimal control problem is formulated with states as commodity flows and production costs, and the final demand and transportation costs as control inputs. An optimization problem is then solved to obtain control inputs that would lead to desired commodity flows and production costs. Further, the proposed methodology is applied to a numerical example. It is shown that the optimal control based method can achieve user specified commodity flows and production costs up to an acceptable accuracy level.
Complete list of metadata

Cited literature [37 references]  Display  Hide  Download

https://hal.inria.fr/hal-01495280
Contributor : Parikshit Dutta <>
Submitted on : Friday, March 24, 2017 - 5:15:57 PM
Last modification on : Tuesday, August 20, 2019 - 5:12:02 PM
Long-term archiving on: : Sunday, June 25, 2017 - 2:11:08 PM

File

Draft6_after2ndreview.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Parikshit Dutta. Inverse identification of inputs of a random utility based model using optimal control. Computers, Environment and Urban Systems, Elsevier, 2014, 46, pp.1 - 11. ⟨10.1016/j.compenvurbsys.2014.03.002⟩. ⟨hal-01495280⟩

Share

Metrics

Record views

326

Files downloads

193