Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization¶
Vielma, J. P., Ahmed, S., & Nemhauser, G. (2010). Mixed-Integer Models for Nonseparable Piecewise-Linear Optimization: Unifying Framework and Extensions. Operations Research.
Cited by¶
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Domain-specific¶
- Special Ordered Set
- Contemporary solvers may reformulate SOS constraints automatically, and performance depends on bounds, encodings, relaxations, branching, numerical scale, and the rest of the model
This sourceVielma, Ahmed and Nemhauser's computational comparison supports the performance half - SOS2 branching neither dominates nor is dominated by binary and logarithmic encodings, with relaxation strength, branching shape and solver implementation all moving the outcome. Automatic reformulation by solvers is a separate, vendor-documented claim.
Supported in partVerified against the source
- Contemporary solvers may reformulate SOS constraints automatically, and performance depends on bounds, encodings, relaxations, branching, numerical scale, and the rest of the model
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