Hi Mahmud

I am working with vissim try the pvt group website under community> webinar archives you can find a lot of tutorials. Overtaking Behaviour i believe relates to lane changing behaviour  and using the VISSIM Manual they have real put in efforts to model different driver parameters.

Hope you find it useful. Wishing you all the best.

http://vision-traffic.ptvgroup.com/en-us/community/webinar-archive/

I wonder if you really mean non-lane based mixed traffic. Without lanes and if bigger vehicles (trucks) occupy more lateral space than smaller vehicles (particularly motorcycles and the like), the notion of lane changing becomes meaningless. Instead, it is replaced by a continuous lateral motion  with the objective of passing at a later time. This means, rather than using a car-following and associated  lane-changing model, one has a fully two-dimensional dynamic model. Notice that the ynamics of this situation iressembles more unidirectional pedestrian flow rather than classical lane-based vehicular traffic.

I know Prigogine and Herman proposed a passing probability P=1-c/cp, in which c is the density, cp is the jam density. Is this what you want to find? Prigogine-Herman model please refer to monograph "Kinetic theory of vehicular traffic". 

I also propose a passing probability considering desired speed. please refer to https://www.researchgate.net/publication/304658540_A_Mesoscopic_Traffic_Flow_Model_Considering_Overtaking_Demand

Article A Mesoscopic Traffic Flow Model Considering Overtaking Demand