TECHNICAL PAPERS
Nov 1, 1983

Optimal Signal Settings Over Transportation Networks

Publication: Journal of Transportation Engineering
Volume 109, Issue 6

Abstract

Several recent papers have discussed the shortcomings of a simple approach for determining traffic signal settings over a network. This procedure iteratively sets signal timings at each intersection to minimize delay, holding flows constant. Flows are then adjusted to a new user equilibrium, and the process is repeated until both flows are at equilibrium and signal timings are optimal given the flows. This paper reviews the shortcomings of this procedure and describes an algorithm for small networks which overcomes these shortcomings. This new algorithm is used to quantify the errors in the simpler approach. Also, conditions under which both procedures would produce the same solution are discussed.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abdulaal, M., and LeBlanc, L. G., “Continuous Equilibrium Network Design Model,” Transportation Research 13 B, No. 1, 1979, pp. 19–32.
2.
Allsop, R. E., and Charlesworth, J. A., “Traffic in a Signal Controlled Network: An Example of Different Signal Timings Inducing Different Routing,” Traffic Engineering and Control 18, Vol. 5, 1977, pp. 262–264.
3.
Beckmann, M., McGuire, C. B., and Winstein, C. B., Studies in the Economics of Transportation, Yale University Press, New Haven, Conn., 1956.
4.
Boyce, D. E., and Soberanes, J. L., “Solutions to the Optimal Network Design Problem with Shipments Related to Transportation Cost,” Transportation Research 13 B, No. 1, 1979, pp. 65–80.
5.
Braess, D., “Über ein Paradox der Verkehrsplanung,” Unternehmensforschung 12, 1968, pp. 258–268.
6.
Charlesworth, J. A., “Mutually Consistent Traffic Assignment and Signal Timings for a Signal Controlled Road Network,” Working Paper 24, Transportation Research Group, University of Newcastle‐upon‐Tyne, England, 1976.
7.
Daganzo, C., and Sheffi, Y., “On Stochastic Models of Traffic Assignment,” Transportation Science 11, No. 3, 1977, pp. 253–274.
8.
Dickson, J. J., “A Note on Traffic Assignment and Signal Timings in a Signal‐Controlled Road Network,” Transportation Research 15 B, No. 4, 1981, pp. 267–272.
9.
Florian, M., “A Traffic Equilibrium Model of Travel by Car and Public Transit Modes,” Transportation Science 11, No. 2, 1977, pp. 166–179.
10.
Gartner, N. H., “Optimal Traffic Assignment with Elastic Demands: A Review,” Transportation Science 14, No. 2, 1980, pp. 174–208.
11.
Luenberger, D. G., Introduction to Linear and Nonlinear Programming, Addison‐Wesley Publishing Co., Reading, Mass., 1973.
12.
Murchland, J. D., “Braess's Paradox of Traffic Flow,” Transportation Research 4, 1970, pp. 391–394.
13.
Smith, M. J., “Traffic Control and Route Choice; A Simple Example,” Transportation Research 13 B, No. 4, 1979, pp. 289–294.
14.
Smith, M. J., “Properties of Traffic Control Policy which Ensure the Existence of a Traffic Equilibrium Consistent with the Policy,” Transportation Research 15 B, No. 6, 1981, pp. 453–462.
15.
Webster, F. V., “Traffic Signal Settings,” Road Research Technical Paper 39, Road Research Laboratory, London, 1958.
16.
Wardrop, J. G., “Some Theoretical Aspects of Road Traffic Research,” Proceedings of the Institute of Civil Engineers II, No. 1, 1952, pp. 278–325.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 109Issue 6November 1983
Pages: 824 - 839

History

Published online: Nov 1, 1983
Published in print: Nov 1983

Permissions

Request permissions for this article.

Authors

Affiliations

Yosef Sheffi, A. M. ASCE
Assoc. Prof., of Civ. Engrg. and a faculty member at the Center for Transportation Studies, Massachusetts Inst., of Tech., Cambridge, Mass.
Warren B. Powell
Asst. Prof., of Civ. Engrg., Princeton Univ., Princeton, N.J.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share