Many methods used for traffic signal timing are useless if the conditions in the intersection are oversaturated. With an increase in the number of vehicles, the saturation degree approaches or exceeds the limit value at intersections. This creates a scenario where many signal timing methods become overwhelmed. In this paper, the elimination pairing system - a new method for designing traffic signal timing at oversaturated intersections - is expressed. An object function with vehicle delay and stop-start numbers has been generated. Total cost value has been calculated according to the object function. Obtained results were compared with Webster as a traditional traffic signal timing design method and Transyt 14 signal timing software. While Webster gives exaggerated results, Transyt 14 and Elimination Pairing Systems provide better results. As a result of this study, the elimination pairing system could be used for optimizing the traffic signal timings. (C) 2017 The Authors. Published by Elsevier Ltd.