The expansion of transport networks as a result of urban growth with low coverage and low integration leads to low transport efficiency and inaccessibility. This leads to poor connectivity in ancient urban areas of the Iraqi provinces. Identifying the Iraqi provinces with the lowest transport efficiency by performing the supply-demand ratio of the master plan for the center of Iraq's provinces (for example, the city of Karbala) is an indicator of the availability and accessibility of transport in urban areas. Solutions to meet transport needs have not focused on improving road capacity and meeting demand by improving operational efficiency even in surrounding communities. In this research theoretical model measured the degree of accessibility of the road network in the city to assess the effectiveness of transport. It has been identified that closer the coefficient of supply-demand to the zero points will provide a comfortable level of service to all road users. This theoretical model evaluates and improves the impact of changing the function of the road network and using different modes of transportation taking into account religious factors, full range of demand control, system efficiency, and infrastructure capacity clarifications. © The Authors, published by EDP Sciences, 2021.