Mathematical programming, ISSN 1436-4646, 2019, Volume 176, Issue 1-2, pp. 497 - 544

This paper considers nonconvex distributed constrained optimization over networks, modeled as directed (possibly time-varying) graphs. We introduce the first...

65K15 | Theoretical, Mathematical and Computational Physics | Mathematics | Mathematical Methods in Physics | 91A10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 90C33 | 90C90 | 65K10 | 49M27 | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Analysis | Algorithms | Machine learning | Economic models | Mathematical models | Graph theory | Nonlinear programming | Engineering education | Optimization | Convergence

65K15 | Theoretical, Mathematical and Computational Physics | Mathematics | Mathematical Methods in Physics | 91A10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | 90C33 | 90C90 | 65K10 | 49M27 | Combinatorics | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Analysis | Algorithms | Machine learning | Economic models | Mathematical models | Graph theory | Nonlinear programming | Engineering education | Optimization | Convergence

Journal Article

Finance and stochastics, ISSN 1432-1122, 2017, Volume 21, Issue 2, pp. 331 - 360

In this paper, which is a continuation of the discrete-time paper (Björk and Murgoci in Finance Stoch. 18:545–592, 2004), we study a class of continuous-time...

Probability Theory and Stochastic Processes | Mathematics | Finance, general | 91B02 | 91B25 | Dynamic programming | Mean-variance | 91A80 | 91G80 | C73 | C72 | Bellman equation | 60J70 | G11 | Economic Theory/Quantitative Economics/Mathematical Methods | Time-inconsistency | G12 | Quantitative Finance | Equilibrium | 49L99 | 91A10 | Time-consistency | Statistics for Business/Economics/Mathematical Finance/Insurance | Hyperbolic discounting | Time-inconsistent control | 49N90 | Stochastic control | 91B51 | C61 | STATISTICS & PROBABILITY | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INVESTMENT | SOCIAL SCIENCES, MATHEMATICAL METHODS | CONSUMPTION | Markov processes | Business schools | Studies | Economic theory | Stochastic models | Markov analysis | Game theory

Probability Theory and Stochastic Processes | Mathematics | Finance, general | 91B02 | 91B25 | Dynamic programming | Mean-variance | 91A80 | 91G80 | C73 | C72 | Bellman equation | 60J70 | G11 | Economic Theory/Quantitative Economics/Mathematical Methods | Time-inconsistency | G12 | Quantitative Finance | Equilibrium | 49L99 | 91A10 | Time-consistency | Statistics for Business/Economics/Mathematical Finance/Insurance | Hyperbolic discounting | Time-inconsistent control | 49N90 | Stochastic control | 91B51 | C61 | STATISTICS & PROBABILITY | BUSINESS, FINANCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INVESTMENT | SOCIAL SCIENCES, MATHEMATICAL METHODS | CONSUMPTION | Markov processes | Business schools | Studies | Economic theory | Stochastic models | Markov analysis | Game theory

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 9/2018, Volume 178, Issue 3, pp. 973 - 997

We propose a new solution concept for generalized Nash equilibrium problems. This concept leads, under suitable assumptions, to unique solutions, which are...

Tracing procedure | Equilibrium selection problem | 65K05 | Mathematics | Theory of Computation | Generalized Nash equilibrium problem | Optimization | New solution concept | 90C31 | 91A10 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 90C33 | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUASI-VARIATIONAL INEQUALITIES | Game theory | Aerospace engineering | Economic models | Equilibrium | Weight reduction

Tracing procedure | Equilibrium selection problem | 65K05 | Mathematics | Theory of Computation | Generalized Nash equilibrium problem | Optimization | New solution concept | 90C31 | 91A10 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | 90C33 | Applications of Mathematics | Engineering, general | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | QUASI-VARIATIONAL INEQUALITIES | Game theory | Aerospace engineering | Economic models | Equilibrium | Weight reduction

Journal Article

Journal of optimization theory and applications, ISSN 1573-2878, 2018, Volume 180, Issue 2, pp. 651 - 670

The multi-leader–follower game has many applications such as the bilevel structured market in which two or more enterprises, called leaders, have initiatives,...

Equilibrium problem with equilibrium constraints | S-stationary | Multi-leader–follower game | Mathematics | Theory of Computation | Optimization | 91A10 | Calculus of Variations and Optimal Control; Optimization | 91A06 | Operations Research/Decision Theory | 90C33 | Applications of Mathematics | Engineering, general | B-stationary | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | ELECTRIC-POWER | Multi-leader-follower game | Analysis | Methods | Algorithms | Leadership | Mathematical models | Solid solutions | Game theory | Equilibrium

Equilibrium problem with equilibrium constraints | S-stationary | Multi-leader–follower game | Mathematics | Theory of Computation | Optimization | 91A10 | Calculus of Variations and Optimal Control; Optimization | 91A06 | Operations Research/Decision Theory | 90C33 | Applications of Mathematics | Engineering, general | B-stationary | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | ELECTRIC-POWER | Multi-leader-follower game | Analysis | Methods | Algorithms | Leadership | Mathematical models | Solid solutions | Game theory | Equilibrium

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 7/2018, Volume 178, Issue 1, pp. 304 - 316

This paper suggests an approach for solving the transfer pricing problem, where negotiation between divisions is carried out considering the manipulation game...

Negotiation | Non-cooperative | Mathematics | Theory of Computation | Optimization | 91A10 | 91B26 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Manipulation | 91B24 | Transfer pricing | Applications of Mathematics | Engineering, general | Nash bargaining | STATIC THEORY | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGERIAL | CHAINS | MULTIDIVISIONAL FIRM | Game theory | Analysis | Collusion | Tactics | Pricing | Pricing policies | Divisions

Negotiation | Non-cooperative | Mathematics | Theory of Computation | Optimization | 91A10 | 91B26 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Manipulation | 91B24 | Transfer pricing | Applications of Mathematics | Engineering, general | Nash bargaining | STATIC THEORY | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGERIAL | CHAINS | MULTIDIVISIONAL FIRM | Game theory | Analysis | Collusion | Tactics | Pricing | Pricing policies | Divisions

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 3/2019, Volume 42, Issue 2, pp. 503 - 520

We prove a topologically based characterization of the existence of fixed-component points for an arbitrary family of set-valued maps defined on a product set...

KKM-structures | Maximal elements | Mathematics | Fixed-component points | Coincidence-component points | 54H25 | 91A10 | 49J53 | 91A06 | Mathematics, general | Applications of Mathematics | Intersection points | Optimization-related problems | MATHEMATICS

KKM-structures | Maximal elements | Mathematics | Fixed-component points | Coincidence-component points | 54H25 | 91A10 | 49J53 | 91A06 | Mathematics, general | Applications of Mathematics | Intersection points | Optimization-related problems | MATHEMATICS

Journal Article

Mathematical programming, ISSN 1436-4646, 2010, Volume 133, Issue 1-2, pp. 227 - 242

We discuss the variational inequality problem for a continuous operator over the fixed point set of a nonexpansive mapping. One application of this problem is...

Theoretical, Mathematical and Computational Physics | Utility function | Variational inequality problem | Mathematics | Two-stage non-convex optimization problem | Mathematical Methods in Physics | 91A10 | Fixed point optimization algorithm | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | Power control | Numerical Analysis | Firmly nonexpansive mapping | 65K10 | Combinatorics | 47J25 | Fixed point | 91A40 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SET | Control equipment industry | Algorithms | Mathematical optimization | CDMA technology | Studies | Analysis | Optimization algorithms | Mapping | Communications networks | Code Division Multiple Access | Optimization | Networks | Operators | Fixed points (mathematics) | Inequalities | Terminals | Convergence

Theoretical, Mathematical and Computational Physics | Utility function | Variational inequality problem | Mathematics | Two-stage non-convex optimization problem | Mathematical Methods in Physics | 91A10 | Fixed point optimization algorithm | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | Power control | Numerical Analysis | Firmly nonexpansive mapping | 65K10 | Combinatorics | 47J25 | Fixed point | 91A40 | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SET | Control equipment industry | Algorithms | Mathematical optimization | CDMA technology | Studies | Analysis | Optimization algorithms | Mapping | Communications networks | Code Division Multiple Access | Optimization | Networks | Operators | Fixed points (mathematics) | Inequalities | Terminals | Convergence

Journal Article

Journal of optimization theory and applications, ISSN 1573-2878, 2018, Volume 178, Issue 3, pp. 998 - 1013

We consider a two-player random bimatrix game where each player is interested in the payoffs which can be obtained with certain confidence. The payoff function...

Mathematical program | Nash equilibrium | Mathematics | Theory of Computation | 90C15 | 90C26 | Cauchy distribution | Optimization | 90C20 | Elliptically symmetric distribution | 91A10 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Quadratic program | Applications of Mathematics | Engineering, general | Chance-constrained games | EXISTENCE | MATHEMATICS, APPLIED | DEMAND | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ZERO-SUM GAMES | MODEL | Game theory | Economic models | Maximization | Equivalence | Mathematical analysis | Independent variables | Random variables | Matrix methods | Equilibrium

Mathematical program | Nash equilibrium | Mathematics | Theory of Computation | 90C15 | 90C26 | Cauchy distribution | Optimization | 90C20 | Elliptically symmetric distribution | 91A10 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Quadratic program | Applications of Mathematics | Engineering, general | Chance-constrained games | EXISTENCE | MATHEMATICS, APPLIED | DEMAND | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ZERO-SUM GAMES | MODEL | Game theory | Economic models | Maximization | Equivalence | Mathematical analysis | Independent variables | Random variables | Matrix methods | Equilibrium

Journal Article

Mathematical programming, ISSN 1436-4646, 2012, Volume 142, Issue 1-2, pp. 1 - 46

Affine generalized Nash equilibrium problems (AGNEPs) represent a class of non-cooperative games in which players solve convex quadratic programs with a set of...

Mathematical Methods in Physics | 91A10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 90C33 | 90C90 | Mathematics | Combinatorics | 91A40 | Mathematics Subject Classification: 90C33 | COUPLED-CONSTRAINT | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | POWER MARKETS | GAMES | Studies | Lagrange multiplier | Game theory | Analysis | Mathematical programming | Computation

Mathematical Methods in Physics | 91A10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Theoretical, Mathematical and Computational Physics | 90C33 | 90C90 | Mathematics | Combinatorics | 91A40 | Mathematics Subject Classification: 90C33 | COUPLED-CONSTRAINT | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | POWER MARKETS | GAMES | Studies | Lagrange multiplier | Game theory | Analysis | Mathematical programming | Computation

Journal Article

Mathematical programming, ISSN 1436-4646, 2007, Volume 117, Issue 1-2, pp. 163 - 194

The generalized Nash equilibrium problem, where the feasible sets of the players may depend on the other players’ strategies, is emerging as an important...

Nonisolated solution | Semismooth Newton method | Mathematical and Computational Physics | Mathematics | Generalized Nash equilibrium | Internet switching | Mathematical Methods in Physics | Levenberg–Marquardt method | 91A10 | 90C30 | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | Numerical Analysis | 49M05 | 91A80 | Combinatorics | Levenberg-Marquardt method | EXISTENCE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | generalized Nash equilibrium | GAMES | nonisolated solution | semismooth Newton method | ALGORITHMS | internet switching | Game theory | Analysis | Methods | Studies | Equilibrium | Mathematical programming

Nonisolated solution | Semismooth Newton method | Mathematical and Computational Physics | Mathematics | Generalized Nash equilibrium | Internet switching | Mathematical Methods in Physics | Levenberg–Marquardt method | 91A10 | 90C30 | Mathematics of Computing | Calculus of Variations and Optimal Control; Optimization | Numerical Analysis | 49M05 | 91A80 | Combinatorics | Levenberg-Marquardt method | EXISTENCE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | generalized Nash equilibrium | GAMES | nonisolated solution | semismooth Newton method | ALGORITHMS | internet switching | Game theory | Analysis | Methods | Studies | Equilibrium | Mathematical programming

Journal Article

Computational optimization and applications, ISSN 1573-2894, 2017, Volume 69, Issue 2, pp. 325 - 349

The LP-Newton method for constrained equations, introduced some years ago, has powerful properties of local superlinear convergence, covering both possibly...

Global convergence | Quadratic convergence | Mathematics | Statistics, general | LP-Newton method | Optimization | Constrained equation | 91A10 | Operations Research/Decision Theory | Convex and Discrete Geometry | 90C33 | Piecewise smooth equation | Operations Research, Management Science | 49M05 | 49M15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PROGRAMS | SYSTEMS | NONISOLATED SOLUTIONS | NASH EQUILIBRIUM PROBLEMS | Analysis | Methods | Algorithms | Nonlinear programming | Mathematical analysis | Accumulation | Convergence

Global convergence | Quadratic convergence | Mathematics | Statistics, general | LP-Newton method | Optimization | Constrained equation | 91A10 | Operations Research/Decision Theory | Convex and Discrete Geometry | 90C33 | Piecewise smooth equation | Operations Research, Management Science | 49M05 | 49M15 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PROGRAMS | SYSTEMS | NONISOLATED SOLUTIONS | NASH EQUILIBRIUM PROBLEMS | Analysis | Methods | Algorithms | Nonlinear programming | Mathematical analysis | Accumulation | Convergence

Journal Article

Journal of optimization theory and applications, ISSN 1573-2878, 2017, Volume 174, Issue 2, pp. 613 - 635

We study connections between optimistic bilevel programming problems and generalized Nash equilibrium problems. We remark that, with respect to bilevel...

Stackelberg game | Bilevel programming | Mathematics | Theory of Computation | 90C26 | Optimization | 91A65 | 91A10 | 90C30 | Calculus of Variations and Optimal Control; Optimization | Generalized Nash equilibrium problem (GNEP) | Operations Research/Decision Theory | 65K10 | Applications of Mathematics | Engineering, general | Hierarchical optimization problem | 91A40 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONSTRAINT QUALIFICATIONS | MATHEMATICAL PROGRAMS | ALGORITHM | OPTIMALITY CONDITIONS | KKT CONDITIONS | Business education | Game theory | Economic models | Mathematical programming

Stackelberg game | Bilevel programming | Mathematics | Theory of Computation | 90C26 | Optimization | 91A65 | 91A10 | 90C30 | Calculus of Variations and Optimal Control; Optimization | Generalized Nash equilibrium problem (GNEP) | Operations Research/Decision Theory | 65K10 | Applications of Mathematics | Engineering, general | Hierarchical optimization problem | 91A40 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONSTRAINT QUALIFICATIONS | MATHEMATICAL PROGRAMS | ALGORITHM | OPTIMALITY CONDITIONS | KKT CONDITIONS | Business education | Game theory | Economic models | Mathematical programming

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 3/2017, Volume 172, Issue 3, pp. 984 - 1007

In this paper, a new concept of equilibrium in dynamic games with incomplete or distorted information is introduced. In the games considered, players have...

Belief distorted Nash equilibrium (BDNE ) | Nash equilibrium | Mathematics | Theory of Computation | 91B06 | Self-verification of beliefs | Optimization | 49N30 | 91A13 | 91A10 | 91B76 | Calculus of Variations and Optimal Control; Optimization | 91B02 | Dynamic games | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 91B52 | Distorted information | 91A50 | Belief distorted Nash equilibrium (BDNE) | MATHEMATICS, APPLIED | PLAYERS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TRADERS | CONTINUUM | RATIONALITY | Game theory | Studies | Probability | Mathematical models | Equivalence | Dynamics | Probability theory | Games | Distortion | Renewable resources

Belief distorted Nash equilibrium (BDNE ) | Nash equilibrium | Mathematics | Theory of Computation | 91B06 | Self-verification of beliefs | Optimization | 49N30 | 91A13 | 91A10 | 91B76 | Calculus of Variations and Optimal Control; Optimization | 91B02 | Dynamic games | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 91B52 | Distorted information | 91A50 | Belief distorted Nash equilibrium (BDNE) | MATHEMATICS, APPLIED | PLAYERS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | TRADERS | CONTINUUM | RATIONALITY | Game theory | Studies | Probability | Mathematical models | Equivalence | Dynamics | Probability theory | Games | Distortion | Renewable resources

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 4/2016, Volume 169, Issue 1, pp. 314 - 343

Nowadays, public–private partnership projects have become a standard for delivering public services in both developed and developing countries. In this paper,...

Mathematics | Theory of Computation | Optimization | Non-cooperative games | 91A10 | Calculus of Variations and Optimal Control; Optimization | Public–private partnership | Generalized Nash equilibria | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 91A80 | Ordinal game theory | Developing countries | Rankings | Algorithms | Game theory | Social service | Public sector | Studies | Public services | Public private partnerships | Mathematical analysis | Awards | Strategy | Partnerships | Proposals | Players

Mathematics | Theory of Computation | Optimization | Non-cooperative games | 91A10 | Calculus of Variations and Optimal Control; Optimization | Public–private partnership | Generalized Nash equilibria | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | 91A80 | Ordinal game theory | Developing countries | Rankings | Algorithms | Game theory | Social service | Public sector | Studies | Public services | Public private partnerships | Mathematical analysis | Awards | Strategy | Partnerships | Proposals | Players

Journal Article

Mathematical programming, ISSN 1436-4646, 2013, Volume 145, Issue 1-2, pp. 59 - 96

We consider centralized and distributed algorithms for the numerical solution of a hemivariational inequality (HVI) where the feasible set is given by the...

Hemivariational inequality | 65K15 | Penalization | Theoretical, Mathematical and Computational Physics | Ad-hoc networks | Mathematics | Hierarchical optimization | Mathematical Methods in Physics | 91A10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Power control | Numerical Analysis | 90C33 | 90C90 | 65K10 | 49M27 | Combinatorics | Distributed algorithms | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | APPROXIMATION | SYSTEMS | PROXIMAL POINT ALGORITHM | Electrical engineering | Algorithms | Studies | Computer programming | Mathematical analysis | Optimization | Networks | Inequalities | Mathematical models | Ad hoc networks

Hemivariational inequality | 65K15 | Penalization | Theoretical, Mathematical and Computational Physics | Ad-hoc networks | Mathematics | Hierarchical optimization | Mathematical Methods in Physics | 91A10 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Power control | Numerical Analysis | 90C33 | 90C90 | 65K10 | 49M27 | Combinatorics | Distributed algorithms | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | APPROXIMATION | SYSTEMS | PROXIMAL POINT ALGORITHM | Electrical engineering | Algorithms | Studies | Computer programming | Mathematical analysis | Optimization | Networks | Inequalities | Mathematical models | Ad hoc networks

Journal Article

Queueing Systems, ISSN 0257-0130, 4/2018, Volume 88, Issue 3, pp. 389 - 407

We consider a network of parallel queues, operating under probabilistic routing, where users can choose to join either a batch service queue, or one of several...

Downs–Thomson paradox | Systems Theory, Control | Braess paradox | Probability Theory and Stochastic Processes | Queueing network | Wardrop’s equilibrium | Parallel queues | 91A13 | 91A10 | Business and Management | 90B20 | 90B15 | Operations Research/Decision Theory | 91A25 | Supply Chain Management | 60K25 | Computer Communication Networks | User equilibria | Wardrop's equilibrium | BRAESSS PARADOX | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONGESTION | Downs-Thomson paradox | SYSTEMS | QUEUING NETWORK | File servers | Batch processing | Queues

Downs–Thomson paradox | Systems Theory, Control | Braess paradox | Probability Theory and Stochastic Processes | Queueing network | Wardrop’s equilibrium | Parallel queues | 91A13 | 91A10 | Business and Management | 90B20 | 90B15 | Operations Research/Decision Theory | 91A25 | Supply Chain Management | 60K25 | Computer Communication Networks | User equilibria | Wardrop's equilibrium | BRAESSS PARADOX | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONGESTION | Downs-Thomson paradox | SYSTEMS | QUEUING NETWORK | File servers | Batch processing | Queues

Journal Article