A unified optimization framework for traffic signal priority scheduling based on the phasetime network models is presented in this research work with two mathematical programming formulations: (i) Mixed Integer Linear Programming (MILP) formulation and resilient MILP formulation (R-MILP). A heuristic algorithm is developed using the delay generated by the cumulative arrival and departure curves for searching optimum solution in phase-time network. An acceptance and rejection policy is also developed based on the proposed R-MILP. A set of numerical experiment with the proposed policy is conducted for fully adapted and coordinated phase-time network. The third set of numerical experiment is destined for the comparison of the performance of proposed phase-time network with the signal timing given by traditional traffic engineering method and Multi-Modal Intelligent Traffic Signal System (MMITSS) (1). The results show that in each case, the proposed formulation gives shorter delay and arterial travel time than the other two methods.