The combined distribution andstochastic assignment problem

Jan Lundgren and Michael Patriksson

Annals of Operations Research, 1998, vol. 82, issue 0, 309-330

Abstract: The combined distribution and assignment problem is the problem of the simultaneousdetermination of the distribution of trips between origins and destinations in a transportationnetwork and the assignment of trips to routes in each origin - destination pair. In the modelmost widely used, the distribution is assumed to follow a gravity model with a negativeexponential deterrence function and the assignment is made according to the deterministicuser equilibrium principle. In this paper, we describe an extension of this model in whichthe allocation of trips to routes is made according to the principle of stochastic user equilibrium.We discuss the behavioural foundations of trip assignment and combined modelsassuming deterministic or stochastic route choice. In particular, we describe how they can bederived using the efficiency principle from discrete choice theory; the combined distributionand stochastic assignment model is obtained as the continuous approximation of the discreteproblem of finding the most probable flow pattern under the assumption of efficient tripmaking behaviour. We outline an algorithm for the solution of the model which is based onroute (column) generation, disaggregate simplicial decomposition, and partial linearization. Copyright Kluwer Academic Publishers 1998

Date: 1998
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1023/A:1018970905404 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:82:y:1998:i:0:p:309-330:10.1023/a:1018970905404

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1023/A:1018970905404

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().