1975/11/01 by Nathan H. Gartner, John D. C. Little, Henry Gabbay · 4 citations
Engineering · Social Sciences · #Traffic and Road Safety #Traffic control and management #Transportation Planning and Optimization
paper · doi:10.1287/trsc.9.4.321
crossref issued 1975/11/01 · crossref published 1975/11/01 · crossref published-print 1975/11/01 · openalex publication_date 1975/11/01 · crossref created 2008/10/31 · crossref deposited 2023/04/02 · openalex created_date 2025/10/10 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/01
Setting traffic signals in a signal-controlled street network involves the determination of cycle time, splits of green time, and offsets. Part I of this paper considers the network coordination problem, i.e., given a common cycle lime and green splits at each intersection, determine offsets for all signals. Part II considers the more general synchronization problem, i.e., determine simultaneously all the control variables for the network including offsets, splits, and cycle time. In Part I, a link performance function is developed to express the loss incurred by platoons traveling through a signal-controlled intersection us a function of link offset. Integer variables enter the formulation because of the periodicity of the traffic lights: The algebraic sum of the offsets around any closed loop of the network must equal an integral number of cycle limes. The optimization problem is formulated as a mixed-integer linear program and a test network is solved by branch-and-bound techniques using IBM's MPSX package.