IEEE Transactions on Power Systems, ISSN 0885-8950, 11/2011, Volume 26, Issue 4, pp. 2526 - 2532

This paper proposes a bilevel model to assist a generation company in making its long-term generation capacity investment decisions considering uncertainty...

Uncertainty | Stochastic processes | Bilevel programming | generation expansion planning | Power markets | mathematical program with equilibrium constraints (MPEC) | Game theory | Optimization | Mathematical programming | Oligopoly | UNCERTAINTY | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Lagrange equations | Technology application | Usage | Energy trading | Voltage | Innovations | Economic aspects | Linear programming | Electric power systems | Mathematical optimization | Electric power generation | Conferences | Electricity | Financing | Decisions | Markets | Mathematical models | Investment

Uncertainty | Stochastic processes | Bilevel programming | generation expansion planning | Power markets | mathematical program with equilibrium constraints (MPEC) | Game theory | Optimization | Mathematical programming | Oligopoly | UNCERTAINTY | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Lagrange equations | Technology application | Usage | Energy trading | Voltage | Innovations | Economic aspects | Linear programming | Electric power systems | Mathematical optimization | Electric power generation | Conferences | Electricity | Financing | Decisions | Markets | Mathematical models | Investment

Journal Article

Mathematical Programming, ISSN 0025-5610, 8/2014, Volume 146, Issue 1, pp. 555 - 582

The derivation of multiplier-based optimality conditions for elliptic mathematical programs with equilibrium constraints (MPEC) is essential for the...

Theoretical, Mathematical and Computational Physics | Elliptic mathematical programs with equilibrium constraints | Mathematics | Coderivatives | Mathematical Methods in Physics | 49K21 | 90C46 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Stationarity conditions | Numerical Analysis | Control constraints | 90C33 | 65K10 | Optimal control of variational inequalities | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPLEMENTARITY CONSTRAINTS | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | OPTIMALITY | Studies | Control theory | Equilibrium | Analysis | Mathematical programming | Numerical analysis | Constraints | Mathematical analysis | Derivation | Mathematical models | Regularization | Optimization

Theoretical, Mathematical and Computational Physics | Elliptic mathematical programs with equilibrium constraints | Mathematics | Coderivatives | Mathematical Methods in Physics | 49K21 | 90C46 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Stationarity conditions | Numerical Analysis | Control constraints | 90C33 | 65K10 | Optimal control of variational inequalities | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPLEMENTARITY CONSTRAINTS | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | OPTIMALITY | Studies | Control theory | Equilibrium | Analysis | Mathematical programming | Numerical analysis | Constraints | Mathematical analysis | Derivation | Mathematical models | Regularization | Optimization

Journal Article

Mathematical Programming, ISSN 0025-5610, 3/2018, Volume 168, Issue 1, pp. 229 - 259

Depending on whether a mathematical program with equilibrium constraints (MPEC) is considered in its original or its enhanced (via KKT conditions) form, the...

Constraint qualification | Theoretical, Mathematical and Computational Physics | Mathematics | 90C31 | Optimality conditions | Perturbation mapping | Mathematical Methods in Physics | 90C30 | 90C46 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 65K10 | Combinatorics | Mathematical programs with equilibrium constraints | Calmness | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | MULTIFUNCTIONS | ELECTRICITY SPOT MARKET | VARIATIONAL INEQUALITY CONSTRAINTS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | MAPPINGS | Economic models | Mapping | Nonlinear programming

Constraint qualification | Theoretical, Mathematical and Computational Physics | Mathematics | 90C31 | Optimality conditions | Perturbation mapping | Mathematical Methods in Physics | 90C30 | 90C46 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 65K10 | Combinatorics | Mathematical programs with equilibrium constraints | Calmness | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | MULTIFUNCTIONS | ELECTRICITY SPOT MARKET | VARIATIONAL INEQUALITY CONSTRAINTS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | MAPPINGS | Economic models | Mapping | Nonlinear programming

Journal Article

4.
Full Text
Solving discretely-constrained MPEC problems with applications in electric power markets

Energy Economics, ISSN 0140-9883, 2010, Volume 32, Issue 1, pp. 3 - 14

Many of the European energy markets are characterized by dominant players that own a large share of their respective countries' generation capacities. In...

Integer programming | Stackelberg game | Electric power markets | BILEVEL PROGRAMMING PROBLEM | ALGORITHM | MODEL | COMPLEMENTARITY CONSTRAINTS | MATHEMATICAL PROGRAMS | INTERIOR-POINT METHOD | EQUILIBRIUM CONSTRAINTS | CONVERGENCE | OPTIMIZATION | ECONOMICS | REGULARIZATION | Integer programming Stackelberg game Electric power markets

Integer programming | Stackelberg game | Electric power markets | BILEVEL PROGRAMMING PROBLEM | ALGORITHM | MODEL | COMPLEMENTARITY CONSTRAINTS | MATHEMATICAL PROGRAMS | INTERIOR-POINT METHOD | EQUILIBRIUM CONSTRAINTS | CONVERGENCE | OPTIMIZATION | ECONOMICS | REGULARIZATION | Integer programming Stackelberg game Electric power markets

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2010, Volume 20, Issue 4, pp. 1885 - 1905

The bilevel program is a sequence of two optimization problems where the constraint region of the upper level problem is determined implicitly by the solution...

Value function | Necessary optimality conditions | Nonsmooth analysis | Bilevel programming problems | Partial calmness | Constraint qualifications | partial calmness | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | MORAL HAZARD | MATHEMATICAL PROGRAMS | value function | necessary optimality conditions | constraint qualifications | bilevel programming problems | nonsmooth analysis | Studies | Optimization algorithms | Equilibrium | Mathematical programming

Value function | Necessary optimality conditions | Nonsmooth analysis | Bilevel programming problems | Partial calmness | Constraint qualifications | partial calmness | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | MORAL HAZARD | MATHEMATICAL PROGRAMS | value function | necessary optimality conditions | constraint qualifications | bilevel programming problems | nonsmooth analysis | Studies | Optimization algorithms | Equilibrium | Mathematical programming

Journal Article

Applied Mathematical Modelling, ISSN 0307-904X, 03/2014, Volume 38, Issue 5-6, pp. 1846 - 1858

Continuous network design problem (CNDP) is to determine the set of link capacity expansions and the corresponding equilibrium flows for which the measures of...

Cutting constraint algorithm (CCA) | Multi-user classes | Mathematical programming with equilibrium constraint (MPEC) | Continuous network design problem (CNDP) | TRANSPORTATION NETWORK | GLOBAL OPTIMIZATION METHOD | VARIATIONAL INEQUALITY CONSTRAINTS | BICRITERION TRAFFIC ASSIGNMENT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | EQUITY CONSTRAINTS | ENGINEERING, MULTIDISCIPLINARY | CONVERGENT ALGORITHM | HEURISTIC ALGORITHMS | MATHEMATICAL PROGRAMS | SENSITIVITY-ANALYSIS | EQUILIBRIUM | Analysis | Algorithms | Performance indices | Cutting | Networks | Links | Mathematical models | Models | Optimization

Cutting constraint algorithm (CCA) | Multi-user classes | Mathematical programming with equilibrium constraint (MPEC) | Continuous network design problem (CNDP) | TRANSPORTATION NETWORK | GLOBAL OPTIMIZATION METHOD | VARIATIONAL INEQUALITY CONSTRAINTS | BICRITERION TRAFFIC ASSIGNMENT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | EQUITY CONSTRAINTS | ENGINEERING, MULTIDISCIPLINARY | CONVERGENT ALGORITHM | HEURISTIC ALGORITHMS | MATHEMATICAL PROGRAMS | SENSITIVITY-ANALYSIS | EQUILIBRIUM | Analysis | Algorithms | Performance indices | Cutting | Networks | Links | Mathematical models | Models | Optimization

Journal Article

Energy Economics, ISSN 0140-9883, 03/2013, Volume 36, pp. 135 - 146

Like in the film Field of Dreams, the sentence “if you build it, he will come” also applies in power systems. In this sense, if a transmission planner suggests...

Power systems economics | Nash equilibrium | Mathematical Program subject to Equilibrium Constraints (MPEC) | Equilibrium Problem subject to Equilibrium Constraints (EPEC) | Power transmission planning | Anticipative network planning | CAPACITY | DECOMPOSITION APPROACH | Constraints (MPEC) | ALGORITHM | EXPANSION | Equilibrium Problem subject to Equilibrium | RESTRUCTURED ELECTRICITY MARKETS | Constraints (EPEC) | ECONOMICS | Mathematical Program subject to Equilibrium | Manufacturing costs | Electric power production

Power systems economics | Nash equilibrium | Mathematical Program subject to Equilibrium Constraints (MPEC) | Equilibrium Problem subject to Equilibrium Constraints (EPEC) | Power transmission planning | Anticipative network planning | CAPACITY | DECOMPOSITION APPROACH | Constraints (MPEC) | ALGORITHM | EXPANSION | Equilibrium Problem subject to Equilibrium | RESTRUCTURED ELECTRICITY MARKETS | Constraints (EPEC) | ECONOMICS | Mathematical Program subject to Equilibrium | Manufacturing costs | Electric power production

Journal Article

Transactions of the Institute of Measurement and Control, ISSN 0142-3312, 1/2018, Volume 40, Issue 2, pp. 436 - 445

Yearly preventive maintenance scheduling of generating units in a restructured power system is one of the most important problems that have to be solved in...

preventive maintenance scheduling | mathematical program with equilibrium constraints (MPEC) | independent system operator (ISO) | Bilevel formulation | generation company (GENCO) | market environment | NETWORK | ALGORITHM | RELIABILITY | COMPLEMENTARITY CONSTRAINTS | TRANSMISSION | INSTRUMENTS & INSTRUMENTATION | MATHEMATICAL PROGRAMS | SYSTEMS | GENERATOR MAINTENANCE | AUTOMATION & CONTROL SYSTEMS | Case studies | Markets | Scheduling | Software reliability | Preventive maintenance | Maintenance management

preventive maintenance scheduling | mathematical program with equilibrium constraints (MPEC) | independent system operator (ISO) | Bilevel formulation | generation company (GENCO) | market environment | NETWORK | ALGORITHM | RELIABILITY | COMPLEMENTARITY CONSTRAINTS | TRANSMISSION | INSTRUMENTS & INSTRUMENTATION | MATHEMATICAL PROGRAMS | SYSTEMS | GENERATOR MAINTENANCE | AUTOMATION & CONTROL SYSTEMS | Case studies | Markets | Scheduling | Software reliability | Preventive maintenance | Maintenance management

Journal Article

Networks and Spatial Economics, ISSN 1566-113X, 6/2013, Volume 13, Issue 2, pp. 205 - 227

This paper presents a new method for solving mathematical programs with equilibrium constraints. The approach uses a transformation of the original problem via...

SOS type 1 | Equilibrium problems | MPEC | Operations Research/Decision Theory | Schur's decomposition | Civil Engineering | Shale | EPEC | Natural gas | Economics / Management Science | Regional/Spatial Science | COMPLEMENTARITY CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | TRANSPORTATION SCIENCE & TECHNOLOGY | CONVERGENCE | STATIONARITY | Studies | Economic models | Energy resources | Economic theory | Energy economics | Natural gas industry | Economic statistics | Mathematical programming | Economics | Networks | Mathematical analysis | Markets | Mathematical models | Transformations | Optimization

SOS type 1 | Equilibrium problems | MPEC | Operations Research/Decision Theory | Schur's decomposition | Civil Engineering | Shale | EPEC | Natural gas | Economics / Management Science | Regional/Spatial Science | COMPLEMENTARITY CONSTRAINTS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | TRANSPORTATION SCIENCE & TECHNOLOGY | CONVERGENCE | STATIONARITY | Studies | Economic models | Energy resources | Economic theory | Energy economics | Natural gas industry | Economic statistics | Mathematical programming | Economics | Networks | Mathematical analysis | Markets | Mathematical models | Transformations | Optimization

Journal Article

Journal of Process Control, ISSN 0959-1524, 2009, Volume 19, Issue 8, pp. 1248 - 1256

With the development and widespread use of large-scale nonlinear programming (NLP) tools for process optimization, there has been an associated application of...

MPECs | Hybrid systems | Complementarity constraints | Dynamic optimization | ENGINEERING, CHEMICAL | DIFFERENTIAL VARIATIONAL-INEQUALITIES | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | CONVERGENCE | FORMULATION | AUTOMATION & CONTROL SYSTEMS | Mathematical optimization | Analysis

MPECs | Hybrid systems | Complementarity constraints | Dynamic optimization | ENGINEERING, CHEMICAL | DIFFERENTIAL VARIATIONAL-INEQUALITIES | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | CONVERGENCE | FORMULATION | AUTOMATION & CONTROL SYSTEMS | Mathematical optimization | Analysis

Journal Article

Mathematical Programming, ISSN 0025-5610, 09/2004, Volume 101, Issue 1, pp. 33 - 55

This paper addresses two second-best toll pricing problems, one with fixed and the other with elastic travel demands, as mathematical programs with equilibrium...

Traffic Equilibrium | Mathematics | Congestion Pricing | Mathematical Programming with Equilibrium Constraints | congestion pricing | MATHEMATICS, APPLIED | BILEVEL MODEL | CONGESTION | NETWORK EQUILIBRIUM | ALGORITHM | traffic equilibrium | TRAFFIC ASSIGNMENT | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | mathematical programming with equilibrium constraints | ELASTIC DEMANDS | CONSTRAINTS | OPTIMIZATION | OPTIMALITY | Studies | Prices | Computer programming | Algorithms | Toll roads | Mathematical analysis

Traffic Equilibrium | Mathematics | Congestion Pricing | Mathematical Programming with Equilibrium Constraints | congestion pricing | MATHEMATICS, APPLIED | BILEVEL MODEL | CONGESTION | NETWORK EQUILIBRIUM | ALGORITHM | traffic equilibrium | TRAFFIC ASSIGNMENT | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | mathematical programming with equilibrium constraints | ELASTIC DEMANDS | CONSTRAINTS | OPTIMIZATION | OPTIMALITY | Studies | Prices | Computer programming | Algorithms | Toll roads | Mathematical analysis

Journal Article

12.
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Local convergence of SQP methods for mathematical programs with equilibrium constraints

SIAM Journal on Optimization, ISSN 1052-6234, 2007, Volume 17, Issue 1, pp. 259 - 286

Recently, nonlinear programming solvers have been used to solve a range of mathematical programs with equilibrium constraints (MPECs). In particular,...

Mathematical programs with equilibrium constraints (MPEC) | Sequential quadratic programming (SQP) | Mathematical programs with complementarity constraints (MPCC) | Nonlinear programming | Equilibrium constraints | equilibrium constraints | COMPLEMENTARITY CONSTRAINTS | MATHEMATICS, APPLIED | NONLINEAR PROGRAMS | nonlinear programming | ALGORITHM | OPTIMIZATION | sequential quadratic programming (SQP) | mathematical programs with equilibrium constraints (MPEC) | mathematical programs with complementarity constraints (MPCC)

Mathematical programs with equilibrium constraints (MPEC) | Sequential quadratic programming (SQP) | Mathematical programs with complementarity constraints (MPCC) | Nonlinear programming | Equilibrium constraints | equilibrium constraints | COMPLEMENTARITY CONSTRAINTS | MATHEMATICS, APPLIED | NONLINEAR PROGRAMS | nonlinear programming | ALGORITHM | OPTIMIZATION | sequential quadratic programming (SQP) | mathematical programs with equilibrium constraints (MPEC) | mathematical programs with complementarity constraints (MPCC)

Journal Article

ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, ISSN 0217-5959, 02/2018, Volume 35, Issue 1

This paper concentrates on improving the convergence properties of the relaxation schemes introduced by Kadrani et al. and Kanzow and Schwartz for mathematical...

ELASTIC-MODE | MPEC | convergence | relaxation | SMOOTHING METHOD | constraint qualification | SQP METHODS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | REGULARIZATION SCHEME | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | OPTIMALITY CONDITIONS | stationarity

ELASTIC-MODE | MPEC | convergence | relaxation | SMOOTHING METHOD | constraint qualification | SQP METHODS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | REGULARIZATION SCHEME | MATHEMATICAL PROGRAMS | EQUILIBRIUM CONSTRAINTS | OPTIMALITY CONDITIONS | stationarity

Journal Article

IEEE Transactions on Power Systems, ISSN 0885-8950, 02/2013, Volume 28, Issue 1, pp. 202 - 210

We present a three-level equilibrium model for the expansion of an electric network. The lower-level model represents the equilibrium of a pool-based market;...

Investments | Companies | mathematical program subject to equilibrium constraints (MPEC) | Nash equilibrium | Equilibrium problem subject to equilibrium constraints (EPEC) | Generators | Planning | power transmission planning | Mathematical model | Indexes | power systems economics | Power systems economics | Mathematical program subject to equilibrium constraints (MPEC) | Power transmission planning | DECOMPOSITION APPROACH | ENGINEERING, ELECTRICAL & ELECTRONIC | Integer programming | Technology application | Usage | Transfer functions | Innovations | Linear programming | Electric power systems | Mathematical optimization | Electric power transmission | Mixed integer | Electric power generation | Conferences | Electric networks | Markets | Mathematical models | Investment | Marketing

Investments | Companies | mathematical program subject to equilibrium constraints (MPEC) | Nash equilibrium | Equilibrium problem subject to equilibrium constraints (EPEC) | Generators | Planning | power transmission planning | Mathematical model | Indexes | power systems economics | Power systems economics | Mathematical program subject to equilibrium constraints (MPEC) | Power transmission planning | DECOMPOSITION APPROACH | ENGINEERING, ELECTRICAL & ELECTRONIC | Integer programming | Technology application | Usage | Transfer functions | Innovations | Linear programming | Electric power systems | Mathematical optimization | Electric power transmission | Mixed integer | Electric power generation | Conferences | Electric networks | Markets | Mathematical models | Investment | Marketing

Journal Article

Transportation Research Part B, ISSN 0191-2615, 2009, Volume 43, Issue 6, pp. 625 - 642

The ability to make optimal transportation network investments decision is central to the strategic management of transportation systems. The presence of...

Mathematical program with equilibrium constraints (MPEC) | Network design | Stochasticity | Equilibrium | Flexibility | TRANSPORTATION | ALGORITHM | FORMULATION | ENGINEERING, CIVIL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MODELS | MATHEMATICAL PROGRAMS | TRANSPORTATION SCIENCE & TECHNOLOGY | CONSTRAINTS | OPTIMIZATION | ECONOMICS | Network design Equilibrium Flexibility Stochasticity Mathematical program with equilibrium constraints (MPEC) | Transportation industry | Analysis | Engineering schools

Mathematical program with equilibrium constraints (MPEC) | Network design | Stochasticity | Equilibrium | Flexibility | TRANSPORTATION | ALGORITHM | FORMULATION | ENGINEERING, CIVIL | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MODELS | MATHEMATICAL PROGRAMS | TRANSPORTATION SCIENCE & TECHNOLOGY | CONSTRAINTS | OPTIMIZATION | ECONOMICS | Network design Equilibrium Flexibility Stochasticity Mathematical program with equilibrium constraints (MPEC) | Transportation industry | Analysis | Engineering schools

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2010, Volume 20, Issue 5, pp. 2504 - 2539

We present a new relaxation scheme for mathematical programs with equilibrium constraints (MPEC), where the complementarity constraints are replaced by a...

Mathematical program with equilibrium constraints (MPEC) | Relaxation | Constraint qualification | Mordukhovich-stationarity | Clarke-stationarity | Complementarity constraint | Strong stationarity | Nonlinear program | MATHEMATICS, APPLIED | relaxation | EXACT PENALIZATION | mathematical program with equilibrium constraints (MPEC) | constraint qualification | complementarity constraint | COMPLEMENTARITY CONSTRAINTS | nonlinear program | strong stationarity | CONVERGENCE | STATIONARITY | REGULARIZATION | OPTIMALITY | Studies | Mathematical programming

Mathematical program with equilibrium constraints (MPEC) | Relaxation | Constraint qualification | Mordukhovich-stationarity | Clarke-stationarity | Complementarity constraint | Strong stationarity | Nonlinear program | MATHEMATICS, APPLIED | relaxation | EXACT PENALIZATION | mathematical program with equilibrium constraints (MPEC) | constraint qualification | complementarity constraint | COMPLEMENTARITY CONSTRAINTS | nonlinear program | strong stationarity | CONVERGENCE | STATIONARITY | REGULARIZATION | OPTIMALITY | Studies | Mathematical programming

Journal Article

ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, ISSN 0217-5959, 04/2019, Volume 36, Issue 2

This paper considers a mathematical problem with equilibrium constraints (MPEC) in which the objective is locally Lipschitz continuous but not continuously...

OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MPEC | S-stationarity | MATHEMATICAL PROGRAMS | EXACT PENALTY | nonsmoothness | constraint qualification | OPTIMALITY CONDITIONS

OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MPEC | S-stationarity | MATHEMATICAL PROGRAMS | EXACT PENALTY | nonsmoothness | constraint qualification | OPTIMALITY CONDITIONS

Journal Article

Optimization Methods and Software, ISSN 1055-6788, 10/2004, Volume 19, Issue 5, pp. 527 - 556

Some properties of regularized and penalized nonlinear programming formulations of mathematical programs with equilibrium constraints (MPECs) are described....

Complementarity constraints | Equilibrium constraints | Nonlinear programming | equilibrium constraints | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | nonlinear programming | complementarity constraints | MATHEMATICAL PROGRAMS | OPTIMALITY CONDITIONS

Complementarity constraints | Equilibrium constraints | Nonlinear programming | equilibrium constraints | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | nonlinear programming | complementarity constraints | MATHEMATICAL PROGRAMS | OPTIMALITY CONDITIONS

Journal Article

Applied Energy, ISSN 0306-2619, 02/2019, Volume 236, pp. 815 - 824

•Mathematical programming with equilibrium constraints method is used.•Investigated simultaneous equilibrium on fuel supply market and carbon trade...

Market competition | Biofuel policy | Carbon credit trading | Mathematical programming with equilibrium constraints (MPEC) | constraints (MPEC) | ENERGY | DESIGN | ENERGY & FUELS | BIOREFINERY | MANDATES | POLICIES | DEPENDENCE | ENGINEERING, CHEMICAL | Mathematical programming with equilibrium | BIOMASS | N-BUTANOL | TECHNOLOGY | STANDARD

Market competition | Biofuel policy | Carbon credit trading | Mathematical programming with equilibrium constraints (MPEC) | constraints (MPEC) | ENERGY | DESIGN | ENERGY & FUELS | BIOREFINERY | MANDATES | POLICIES | DEPENDENCE | ENGINEERING, CHEMICAL | Mathematical programming with equilibrium | BIOMASS | N-BUTANOL | TECHNOLOGY | STANDARD

Journal Article