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Mathematical Programs with Equilibrium Constraints

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Pyomo — Optimization Modeling in Python

Abstract

This chapter documents how to formulate mathematical programs with equilibrium constraints (MPECs), which naturally arise in a wide range of engineering and economic systems. We describe Pyomo components for complementarity conditions, and transformation capabilities that automate the reformulation of MPEC models, and meta-solvers that leverage these transformations to support global and local optimization of MPEC models.

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Hart, W.E. et al. (2017). Mathematical Programs with Equilibrium Constraints. In: Pyomo — Optimization Modeling in Python. Springer Optimization and Its Applications, vol 67 . Springer, Cham. https://doi.org/10.1007/978-3-319-58821-6_12

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