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Research Article · Open access · Published 16 July 2026

A Mixed Integer Linear Programming for Optimising the Residential Solar Energy Storage System

Teube Cyrille Mbainaissem1, Dethie Dione2, Bakary Kone3 & Youssoupha Toure2

Journal of Mathematics and Statistics, Volume 22, Issue 1, pp. 29–44 · doi.org/10.3844/jmssp.2026.29.44

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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.

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Mbainaissem, T. C., Dione, D., Kone, B. & Toure, Y. (2026). A Mixed Integer Linear Programming for Optimising the Residential Solar Energy Storage System. Journal of Mathematics and Statistics, 22(1), 29–44. https://doi.org/10.3844/jmssp.2026.29.44

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A Mixed Integer Linear Programming for Optimising the Residential Solar Energy Storage SystemJournal of Mathematics and Statistics · Volume 22, Issue 1 · pp. 29–44 · CC BY 4.0Download