Selection of Optimal Traffic Signal Cycle Using Graphs

  • Husein Pašagić
  • Ivan Mikulčić
  • Ante Marijan
Keywords: traffic, theory of graphs, optimization

Abstract

The paper deals with the traffic management of a traffic signal-controlled intersection. One set of movements consists ofall the possible streams at an intersection that occur simultaneously.The set of movements changes cyclically during thecontrol cycle. Within a cycle, each stream has to get at leastonce free passage, effective green time. Each set has to definethe traffic flow at the intersection with no crossing points(points of conflict). In the cyclical order of the set of movements,the intersection capacity is greater if the number of setswithin the cycle is lowe1; and 'overlapping' between the setsgreater. Using graph the01y, two intersections in the city ofZagreb have been analysed: Dubrovnik Avenue - VeeeslavaHoljevcaAvenue (6ltraffic accidents a year) and Savska Road- Street of the City of Vukovar (36 traffic accidents a year).

References

Bazaraa, M.; Jarvis, J.; Sherali, H.: Linear programming

and network flows. New York, 1990.

Chvatal, V.: Linear programming. New York, 1983.

Cohen, S.: Operational research. New York, 1988.

Cvetkovic, D.; Milic, M.: Teorijagrafova i njene primene.

Naucna knjiga, Belgrad, 1977.

Gordon, G.; Pressman, 1.: Quantitative decision making

for business. London, 1983

Gordon, G.; Magnus, W.: Grupe i njihovi grafovi. Skolska

knjiga, Zagreb, 1975.

Kalpic, D.; Mornar, V.: Operacijska istraiivanja. Biblioteka

lnformacijsko drustvo, Zagreb, 1966.

Martie, Lj.: Matematicke metode za ekonomske analize

II. Zagreb, 1966.

Mesko, 1.: Graft in mreie. Maribor, 1975.

Mirkovic, D.: Matematicke metode u istraiivanjima optimalnih

rjdenja organizacijskih i ekonomskih problema.

Sarajevo, 1973.

Moder, J.; Elmaghraby, S.: Handbook of Opera/ions

Research Foundations and Fundamentals. New York,

Pasagic, H.: Matematicko modeliranje i teorija grafova.

FPZ Sveucilista u Zagrebu, Zagreb, 1998.

Veljan, D.: Kombinatorika s temijom grafova. Skolska

knjiga, Zagreb, 1989.

How to Cite
1.
Pašagić H, Mikulčić I, Marijan A. Selection of Optimal Traffic Signal Cycle Using Graphs. Promet [Internet]. 1 [cited 2022Jul.3];12(2):67-3. Available from: https://traffic.fpz.hr/index.php/PROMTT/article/view/738
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