A method to obtain the optimum cycle length and offsets for a coordinated traffic signal system along a single route is presented supposing that optimality is defined as the maximum through band width fox. It is shown that offsets which provided the equal through band width for both directions of traffic and those which favour one direction exclusively are not discrete with each other and any offsets in between those two extremes are continuously pollible. The method mentioned here is applicable generally when splits of signals in a system are different from each other, speeds of traffic vary from section to section and between directions and block spacings are not uniform. Although a graphical method is introduced here, a program for utilizing an electronic computer has been developed in ALGOL. An example is presented to illustrate the procedures to solve the problem.
Abstract