Abstarct: In this study, three novel arrangements of combined cooling, heating and power (CCHP) system baxsed on gas internal combustion engine and Ford-Philips Stirling engine are proposed. The modeling of the prime movers is done with the help of two numerical models with a high precision and the effects of the prime movers parameters including: Stirling engine phase angle, regenerator porosity, regenerator length, Stirling engine speed, combustion timing of the combustion engine and also the combustion engine speed are studied on the technical and economic performances of the system, and finally, optimal technical and economic condition is proposed for each arrangement with the help of genetic algorithm and LINMAP and TOPSIS decision making methods. In the optimal conditions for the first arrangement, 1508.25 rpm for the Stirling engine, 108.68 degrees of phase angle, the length and porosity of the regenerator equal to 30 mm and 0.621 are designed and in these conditions the overall efficiency is in the range of 81% and investment payback period of the system is expected within 5 years. For the second arrangement, the combustion engine speed is close to the half-load operating range, the combustion start angle is about 20 degrees before top dead center and the combustion duration is suggested in the range of 35 degrees in the optimal state, and in these conditions, the overall efficiency and the investment payback period were calculated 78.43% and 6.07 years, respectively. The third arrangement (hybrid system) at high Stirling engine speeds has a better technical efficiency than the first arrangement, but the investment payback period of the system in this condition is longer than the payback period of the first arrangement. Also, using the third arrangement in low speeds for the combustion engine, the investment payback period is much shorter than the second arrangement, but the technical performance of the third arrangement is not superior to the second arrangement.