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, transformation capabilities that automate the reformulation of MPEC models, and meta-solvers leveraging these transformations to support global and local optimization of MPEC models.

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Bynum, M. L., Hackebeil, G. A., Hart, W. E., Laird, C. D., Nicholson, B. L., Siirola, J. D., … Woodruff, D. L. (2021). Mathematical Programs with Equilibrium Constraints. In Springer Optimization and Its Applications (Vol. 67, pp. 191–202). Springer. https://doi.org/10.1007/978-3-030-68928-5_13

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