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| Multi-Objective Mixed-Integer Programming× | Multi-Objective Goal Programming× | |
|---|---|---|
| Fagområde | Simulering | Simulering |
| Familie | Process / pipeline | Process / pipeline |
| Oprindelsesår≠ | 1980s–2000s | 1961 |
| Ophavsperson≠ | Ehrgott, M.; Mavrotas, G. and others in multi-criteria optimization | Charnes, A. and Cooper, W. W. |
| Type≠ | Mathematical optimization | Mathematical programming / multi-criteria optimization |
| Oprindelig kilde≠ | Ehrgott, M. (2005). Multicriteria Optimization (2nd ed.). Springer, Berlin. ISBN: 9783540213987 | Charnes, A., Cooper, W. W. (1961). Management Models and Industrial Applications of Linear Programming. Wiley, New York. ISBN: 978-0471148258 |
| Aliasser | MO-MIP, Multi-criteria MIP, MOMIP, Multi-objective MILP | MOGP, Multi-goal programming, Vector goal programming, Multi-criteria goal programming |
| Relaterede≠ | 5 | 4 |
| Resumé≠ | 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. | Multi-Objective Goal Programming (MOGP) is a mathematical programming technique that simultaneously pursues several aspirational targets by minimizing weighted deviations from each goal. Rooted in Charnes and Cooper's original goal programming framework (1961), MOGP extends it to handle multiple competing objectives, making it indispensable in operations research, supply chain design, resource allocation, and policy analysis where decision-makers must satisfy — or come close to — multiple conflicting requirements at once. |
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