I have been working on a problem for a week and I have already chosen a path to advance on. I would give a brief introduction about my problem and then put forward my question.
For a road network, there are 10 intersections, each intersection has 10 Signal plans (Signal plans have red and green time for every direction). I have to choose a single signal plan from each of the ten intersections such that the resulting combination would give least stops (I would get the number of stops from the model I am using) . The main condition is the selected Signal program should have same cycle time(time for which signal program runs)
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After going through a lot of litearture I finally chose binary mixed integer programming for my model. I set almost all constraints but the major problem is setting a constraint for "equal cycle time' What kind of constraint could be used in such case?