Abstract
This paper presents a model for combined multiclass trip distribution, trip assignment and modal split. Although this model is based on an equivalent optimization problem, it avoids the symmetry restrictions heretofore always associated with such approaches to multiclass trip assignment. This is accomplished by expressing Wardrop's first principle as a set of nonlinear constraints in standard mathematical programming form. An algorithm is proposed, each iteration of which requires solving a nonlinear program with linear constraints.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 361-369 |
| Number of pages | 9 |
| Journal | Transportation Research Part B |
| Volume | 15 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 1 1981 |
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All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Transportation
Cite this
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An equivalent optimization problem for combined multiclass distribution, assignment and modal split which obviates symmetry restrictions. / Friesz, Terry Lee.
In: Transportation Research Part B, Vol. 15, No. 5, 01.01.1981, p. 361-369.Research output: Contribution to journal › Article
TY - JOUR
T1 - An equivalent optimization problem for combined multiclass distribution, assignment and modal split which obviates symmetry restrictions
AU - Friesz, Terry Lee
PY - 1981/1/1
Y1 - 1981/1/1
N2 - This paper presents a model for combined multiclass trip distribution, trip assignment and modal split. Although this model is based on an equivalent optimization problem, it avoids the symmetry restrictions heretofore always associated with such approaches to multiclass trip assignment. This is accomplished by expressing Wardrop's first principle as a set of nonlinear constraints in standard mathematical programming form. An algorithm is proposed, each iteration of which requires solving a nonlinear program with linear constraints.
AB - This paper presents a model for combined multiclass trip distribution, trip assignment and modal split. Although this model is based on an equivalent optimization problem, it avoids the symmetry restrictions heretofore always associated with such approaches to multiclass trip assignment. This is accomplished by expressing Wardrop's first principle as a set of nonlinear constraints in standard mathematical programming form. An algorithm is proposed, each iteration of which requires solving a nonlinear program with linear constraints.
UR - http://www.scopus.com/inward/record.url?scp=0019728090&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0019728090&partnerID=8YFLogxK
U2 - 10.1016/0191-2615(81)90020-5
DO - 10.1016/0191-2615(81)90020-5
M3 - Article
AN - SCOPUS:0019728090
VL - 15
SP - 361
EP - 369
JO - Transportation Research, Series B: Methodological
JF - Transportation Research, Series B: Methodological
SN - 0191-2615
IS - 5
ER -