Article ID: | iaor1997190 |
Country: | United States |
Volume: | 29 |
Issue: | 4 |
Start Page Number: | 353 |
End Page Number: | 365 |
Publication Date: | Nov 1995 |
Journal: | Transportation Science |
Authors: | Fang S.C., Tsao H.-S.J. |
Keywords: | queues: theory |
Many transportation problems can be formulated as a linearly-constrained convex programming problem whose objective function consists of entropy functions and other cost-related terms. In this paper, the authors propose an unconstrained convex programming dual approach to solving these problems. In particular, they focus on a class of linearly-constrained entropy maximization problem with quadratic cost, study its Lagrangian dual, and provide a globally convergent algorithm with a quadratic rate of convergence. The theory and algorithm can be readily applied to the trip distribution problem with quadratic cost and many other entropy-based formulations, including the conventional trip distribution problem with linear cost, the entropy-based modal split model, and the decomposed problems of the combined problem of trip distribution and assignment. The efficiency and the robustness of this approach are confirmed by the present computational experience.