closed bus routes. Transit passengers, in many cases, deal with overlapping bus routes with some
routes sharing common sections and stops. Passenger assignment problem is a major task in
frequency setting of bus service which aims to minimize passengers and operator costs. In this
work, mixed integer mathematical formulation based on passenger choice problem is developed to
track each proportion of passengers’ in selecting bus routes for -0- and -1- trips transfer. The
proposed model would help for a given transit network and total bus fleet size to minimize network
total travel time. It would optimally distribute frequency among bus routes, regarding passengers’
interests in selecting bus routes. It differs from traditional models, since it helps in tracking different
users while they are moving on the network. Numerical examples are given to clarify the proposed
mathematical formulation. Circular bus routes operational performance is tested using Mandl’s
network benchmark problem. Genetic Algorithm has been implemented with Matlab language in
solution procedure. Comparing results with previous work indicates that circular bus routes manage
in minimizing average user travel time for the same operator cost. The results from this study
would help in further work to optimize transit vehicle size and stops distances along each single bus
route.