Mathematical Programs with Equilibrium Constraints
By William E. Hart, Carl D. Laird, Jean-Paul Watson, David L. Woodruff, Gabriel Hackebeil, Bethany Nicholson, J. Siirola. Pyomo — Optimization Modeling in Python, 2021
891 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Economics and Econometrics, Industrial and Manufacturing Engineering
View Paper: https://www.semanticscholar.org/paper/a63da98b44996c5c484612bc754205f975c96467
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In Control and Systems Engineering
- Wai Yuen Szeto
- Haoxiang Liu
- Andy H. F. Chow
- Martin Schmidt
- Volker Mehrmann
- David Z. W. Wang
- Alexander Shapiro
- S. Waller
In Economics and Econometrics
- David Z. W. Wang
- Alexander Shapiro
- Peter Maass
- Wei Liu
- Wai Yuen Szeto
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In Industrial and Manufacturing Engineering
Citations in the corpus
- Solving inverse problems using data-driven models (2019, background): “Indeed, as is demonstrated in a series of numerical tests in Maass (2019), the deviation of W from T will be arbitrarily large if ε and σ are both small. Of course, we can also give this a positive meaning: the noise level acts as a regularizer, and large σ yields more stable matrices W. See Maass (”
- Single-leader multi-follower games for the regulation of two-sided Mobility-as-a-Service markets (2021, background): “The most common solution approach for linear bilevel programming (LBP) problems is to replace the lower-level problem with its Karush-Kuhn-Tucker (KKT) conditions, leading to a Mathematical Program with Equilibrium Constraints (MPEC) (Luo et al. 1996).”
- Hierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems (2011, neutral): “For the related works, refer to [1-19].”
- Nonlinear optimization of district heating networks (2019, background): “lusingcomplementarity constraints. Insummary,weconsideraPDE-constrainednonlinearmathematical programwithcomplementarityconstraints(MPCC),whichisahighlychallenging classofoptimizationproblems;see,e.g.,[29]. Somehow surprisingly, there is not much literature about the mathematical optimizationofdistri”
- Identification of critical combination of vulnerable links in transportation networks – a global optimisation approach (2016, background): “Nevertheless, it is known that MPEC is inherently non-convex, and global optimal solutions are generally difficult to solve (Luo, Pang, and Ralph 1996).”
- Stochastic Programming with Equilibrium Constraints (2006, background): “Key words: equilibrium constraints, two-stage stochastic programming, variational inequalities, complementarity conditions, statistical inference, exponential rates.”
- Storage-like devices in load leveling: Complementarity constraints and a new and exact relaxation method (2015, neutral): “, the interior-point method [31].”