Hierarchical optimization: An introduction
From MaRDI portal
Publication:1184516
DOI10.1007/BF02098169zbMath0751.90067OpenAlexW2090411045MaRDI QIDQ1184516
G. Anandalingam, Terry L. Friesz
Publication date: 28 June 1992
Published in: Annals of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02098169
Nonlinear programming (90C30) Hierarchical games (including Stackelberg games) (91A65) Hierarchical systems (93A13) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02)
Related Items (48)
Descent approaches for quadratic bilevel programming ⋮ Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints ⋮ Bilevel and multilevel programming: A bibliography review ⋮ Cost-optimal topology planning of hierarchical access networks ⋮ Misclassification minimization ⋮ Comparative tests of solution methods for signal-controlled road networks ⋮ Fuzzy approach to multilevel knapsack problems ⋮ On bilevel programming. I: General nonlinear cases ⋮ Mathematical models and solution approach for cross-training staff scheduling at call centers ⋮ Fuzzy approach for multi-level programming problems ⋮ Approximation of the steepest descent direction for the O-D matrix adjustment problem ⋮ AN ALGORITHM FOR SOLVING RULE SETS-BASED BILEVEL DECISION PROBLEMS ⋮ A survey on mixed-integer programming techniques in bilevel optimization ⋮ A DC Algorithm for Solving Quadratic-linear Bilevel Optimization Problems ⋮ On bilevel fractional programming ⋮ A note on dynamic Stackelberg games with leaders in turn ⋮ Natural gas bilevel cash-out problem: convergence of a penalty function method ⋮ Distributed decision making----a unified approach. ⋮ A linearization approach to solve the natural gas cash-out bilevel problem ⋮ On linear programs with linear complementarity constraints ⋮ A globally convergent sequential linear programming algorithm for mathematical programs with linear complementarity constraints ⋮ Hierarchical optimization: A satisfactory solution ⋮ An effective two-stage stochastic multi-trip location-transportation model with social concerns in relief supply chains ⋮ A study of general and security Stackelberg game formulations ⋮ An overview of bilevel optimization ⋮ On applied nonlinear and bilevel programming for pursuit-evasion games ⋮ A trust-region method for nonlinear bilevel programming: algorithm and computational exper\-ience ⋮ On bilevel multi-follower decision making: general framework and solutions ⋮ A neural network approach to multiobjective and multilevel programming problems ⋮ A globally convergent approximately active search algorithm for solving mathematical programs with linear complementarity constraints ⋮ The computational complexity of bilevel assignment problems ⋮ Model, solution concept, and \(K\)th-best algorithm for linear trilevel programming ⋮ FUZZY BILEVEL PROGRAMMING: MULTI-OBJECTIVE AND MULTI-FOLLOWER WITH SHARED VARIABLES ⋮ Fuzzy bilevel programming with multiple objectives and cooperative multiple followers ⋮ Integrating reference point, Kuhn-Tucker conditions and neural network approach for multi-objective and multi-level programming problems ⋮ Genetic algorithm for solving quadratic bilevel programming problem ⋮ Hierarchical Game and Bi-level Optimization for Controlling Network Usage Via Pricing ⋮ A Cutting Plane Approach for Solving Linear Bilevel Programming Problems ⋮ On the quasiconcave bilevel programming problem ⋮ Optimal partial discretization orders for discretizable distance geometry ⋮ Some results on mathematical programs with equilibrium constraints ⋮ A bilevel programming approach to determining tax credits for biofuel production ⋮ Compensatory fuzzy multiple level decision making ⋮ Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography ⋮ Unnamed Item ⋮ A partial cooperation model for non-unique linear two-level decision problems ⋮ Bundle trust-region algorithm for bilinear bilevel programming
Cites Work
- Unnamed Item
- Convex two-level optimization
- Derivative evaluation and computational experience with large bilevel mathematical programs
- Dynamic noncooperative game theory
- Multi-level programming and conflict resolution
- Heuristic algorithms for delivered price spatially competitive network facility location problems
- Production and marketing decisions with multiple objectives in a competitive environment
- An efficient dual approach to the urban road network design problem
- Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints
- The multiobjective equilibrium network design problem revisited: A simulated annealing approach
- An Efficient Point Algorithm for a Linear Two-Stage Optimization Problem
- A solution method for the static constrained Stackelberg problem via penalty method
- A Branch and Bound Algorithm for the Bilevel Programming Problem
- A Note on: An Efficient Point Algorithm for a Linear Two-Stage Optimization Problem
- Computational Difficulties of Bilevel Linear Programming
- Network design problem with congestion effects: A case of bilevel programming
- Equilibrium Decomposed Optimization: A Heuristic for the Continuous Equilibrium Network Design Problem
- A Mathematical Programming Model of Decentralized Multi-Level Systems
- A Representation and Economic Interpretation of a Two-Level Programming Problem
- Equilibrium programming:The path following approach and dynamics
- On two-level optimization
- A Simulated Annealing Approach to the Network Design Problem with Variational Inequality Constraints
- Defense Applications of Mathematical Programs with Optimization Problems in the Constraints
- Technical Note—A Method for Solving Mathematical Programs with Nonlinear Programs in the Constraints
- Technical Note—The Equivalence of Two Mathematical Programs with Optimization Problems in the Constraints
- A cutting plane algorithm for solving bilinear programs
- Bilinear programming: An exact algorithm
- Closed-loop Stackelberg strategies with applications in the optimal control of multilevel systems
- A linear max—min problem
- Two-Level Linear Programming
- Mathematical Programs with Optimization Problems in the Constraints
- A solution method for the linear static Stackelberg problem using penalty functions
This page was built for publication: Hierarchical optimization: An introduction