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Multi-objective mixed-integer programming

Multi-Objective Mixed-Integer Programming (MO-MIP) is an optimization framework that simultaneously optimizes two or more conflicting objective functions subject to linear or nonlinear constraints, where some decision variables are restricted to integer values and others are continuous. It is widely applied in engineering design, supply chain planning, resource allocation, and scheduling problems that require discrete choices alongside continuous quantities.

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Multi-Objective Mixed-Integer Programming

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Ehrgott, M. (2005). Multicriteria Optimization (2nd ed.). Springer, Berlin. · ISBN 9783540213987
Mavrotas, G. (2009). Effective implementation of the epsilon-constraint method in Multi-Objective Mathematical Programming problems. Applied Mathematics and Computation, 213(2), 455-465. · DOI 10.1016/j.amc.2009.03.037

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