SIMULATION, OPTIMIZATION AND EVALUATION OF SYSTEMS OF TRAFFIC NETWORKS
Abstract
A sequence of linear programming models of network type are here used to illustrate how the optimizations of linear programming may be used to provide guidance and control (a) for simulating complex nonlinear systems and (b) for evaluating possible alterations in system design. This is fist illustrated by an example involving only a single extremization (optimization). Subsequently this is extended to a polyextremization which utilizes certain concepts from the theory of n-person non-zero sum games. The latter is then replaced by a model which again utilizes only a single extremal principle which is related to linear programming by means of what are called multi-copy network models. This is used to accommodate multiple origin-to-destination requirements in which two-way flow on the links is possible. Possible extensions and use of these ideas are examined, including ways in which zoning and traffic studies might be combined for joint treatment. Routes for further research are also suggested.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 31, 1966
- Accession Number
- AD0634239
Entities
People
- A. Charnes
- W. W. Cooper
Organizations
- Carnegie Institute of Technology