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EMRS (Emergency Medical Response Service) is the public safety system that is responsible for the initial first aid and transportation of the patient to the hospital. Providing a timely response to any emergency situation is of critical nature and needs to be addressed in the shortest possible time. Decreasing the response to an emergency site and timely pre-hospitalization care location identification and number of emergency response personnel and vehicles are some of the critical elements of EMRS. In this research, a probabilistic model is developed which incorporates the probabilistic response to any emergency situation. The developed model was applied to an actual scenario of the EMRS in the city of Peshawar, Pakistan. The EMRS has 7 locations covering 7 different regions of the city covering more than 1200 square kilometers area. The main purpose of the study is to measure the quality of EMRS on the basis of response time and queue. The study has identified that station 1 and 2 have the highest utilization; 58% each, while station 7 has the lowest utilization at 13.7%. Since the emergency care at the site of incidence is one of the primary responsibilities of the public safety organizations so this study also discusses the average instantaneous utilization of EMRS resources for that region. [ABSTRACT FROM AUTHOR]