Selection of the Optimal Household Heating and Cooling System in Herzegovina Using the Simplex Method from the Cost Aspect

The paper determined the optimal system for covering the heating and cooling energy needs of a small household in the Herzegovina region using the Simplex method. For the purposes of implementing optimization using the Simplex method, the energy needs of the household were determined using standards such as EN 12831, VDI 2078 and EN13790. The global function of optimization was the Net present cost of the system, where the investment, operating and fuel costs of the considered technologies were analyzed to cover the needs. The optimization results showed that the best solution for covering the customer's needs is the air-water heat pump with an installed power of 6 kW. .