Mathematical programs with equilibrium constraints

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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., Laird, C. D., Watson, J. P., Woodruff, D. L., Hackebeil, G. A., Nicholson, B. L., & Siirola, J. D. (2017). Mathematical programs with equilibrium constraints. In Springer Optimization and Its Applications (Vol. 67, pp. 211–222). Springer International Publishing. https://doi.org/10.1007/978-3-319-58821-6_12

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