@article {10.3844/jmssp.2026.29.44, article_type = {journal}, title = {A Mixed Integer Linear Programming for Optimising the Residential Solar Energy Storage System}, author = {Mbainaissem, Teube Cyrille and Dione, Dethie and Kone, Bakary and Toure, Youssoupha}, volume = {22}, year = {2026}, month = {Jul}, pages = {29-44}, doi = {10.3844/jmssp.2026.29.44}, url = {https://thescipub.com/abstract/jmssp.2026.29.44}, abstract = {The global electricity sector is facing a major transition to sustainable energy sources, with consumers playing a crucial role in realising the full potential of the international energy market. Residential energy storage systems are a priority to promote local flexibility and participation in the energy transition. The combination of solar energy generators and storage batteries is a key method of achieving self sufficiency in residential buildings, thereby increasing individual household independence. A mixed-integer linear programming (MILP) model formulated in AMPL and solved with CPLEX optimizes battery dimensions and operation, thereby improving performance and extending lifespan.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }