Multicriteria Optimization

DOI10.1007/3-540-27659-9zbMath1132.90001OpenAlexW4302557773MaRDI QIDQ5311858

Publication date: 29 August 2005

Full work available at URL: https://doi.org/10.1007/3-540-27659-9

multiobjective combinatorial optimization multiobjective simplex method efficient solution and nondominated point weighted sum method and scalarization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming (90-01)

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OPTIMAL SOLUTIONS OF MULTI-OBJECTIVE LFPP WITH INTERVAL COEFFICIENTS USING E-CONSTRAINT METHOD, Rates of Convergence for the Continuum Limit of Nondominated Sorting, Some heuristic methods for solving $p$-median problems with a coverage constraint, On weighting two criteria with a parameter in combinatorial optimization problems, A bi-objective modeling approach applied to an urban semi-desirable facility location problem, Solving nonlinear multi-objective optimization problems with fuzzy relation inequality constraints regarding Archimedean triangular norm compositions, Multiobjective PDE-constrained optimization using the reduced-basis method, The use of quasi-concave value functions in MCDM: some theoretical results, On the calculation of stability radius for multi-objective combinatorial optimization problems by inverse optimization, On the transformation of lexicographic nonlinear multiobjective programs to single objective programs, A supply chain design problem with facility location and bi-objective transportation choices, Robust multicriteria risk-averse stochastic programming models, A new algorithm for solving planar multiobjective location problems involving the Manhattan norm, Balancing of simple assembly lines under variations of task processing times, Optimal online algorithms for the multi-objective time series search problem, Lexicographic MPC with multiple economic criteria for constrained nonlinear systems, New optimality conditions for the semivectorial bilevel optimization problem, Min-ordering and max-ordering scalarization methods for multi-objective robust optimization, On analyzing and detecting multiple optima of portfolio optimization, Complexity of strict robust integer minimum cost flow problems: an overview and further results, Robust alternative theorem for linear inequalities with applications to robust multiobjective optimization, Quasi-Newton methods for multiobjective optimization problems, Directionally generalized differentiation for multifunctions and applications to set-valued programming problems, Robust multiobjective optimization with application to Internet routing, Pareto-optimal reinsurance policies in the presence of individual risk constraints, \textit{teaspoon}: solving the curriculum-based course timetabling problems with answer set programming, Robustness in deterministic vector optimization, Computation of weighted sums of rewards for concurrent MDPs, A tolerance function for the multiobjective set covering problem, An exact and polynomial approach for a bi-objective integer programming problem regarding network flow routing, Solution approach to multi-objective linear fractional programming problem using parametric functions, GivEn -- shape optimization for gas turbines in volatile energy networks, Optimality conditions and duality in terms of convexificators for multiobjective bilevel programming problem with equilibrium constraints, A hybrid approach for finding efficient solutions in vector optimization with SOS-convex polynomials, Solving fractional multicriteria optimization problems with sum of squares convex polynomial data, On gap functions for nonsmooth multiobjective optimization problems, Finding representations for an unconstrained bi-objective combinatorial optimization problem, Robust winner determination in positional scoring rules with uncertain weights, The global weak sharp minima with explicit exponents in polynomial vector optimization problems, An equivalent one level optimization problem to a semivectorial bilevel problem, An approach to $\epsilon$-duality theorems for nonconvex semi-infinite multiobjective optimization problems, On highly robust efficient solutions to uncertain multiobjective linear programs, Extension of Zoutendijk method for solving constrained multiobjective optimization problems, On the parameterized tractability of single machine scheduling with rejection, An iterative approach to solve multiobjective linear fractional programming problems, On multicriteria decision making under conditions of uncertainty, Variants of the $\varepsilon$-constraint method for biobjective integer programming problems: application to $p$-median-cover problems, Linear and conic scalarizations for obtaining properly efficient solutions in multiobjective optimization, Dealing with residual energy when transmitting data in energy-constrained capacitated networks, Fathoming rules for biobjective mixed integer linear programs: review and extensions, Discrete representation of non-dominated sets in multi-objective linear programming, A unified approach to uncertain optimization, Impact of coordination on costs and carbon emissions for a two-echelon serial economic order quantity problem, Multi-objective branch and bound, Ordered weighted average optimization in multiobjective spanning tree problem, A branch-and-bound based heuristic algorithm for convex multi-objective MINLPs, Constraint propagation using dominance in interval branch \& bound for nonlinear biobjective optimization, Multiple criteria mixed-integer programming for incorporating multiple factors into the development of master operating theatre timetables, The search-and-remove algorithm for biobjective mixed-integer linear programming problems, Solving a set of global optimization problems by the parallel technique with uniform convergence, Efficient multicriterial optimization based on intensive reuse of search information, Microforecasting methods for fresh food supply chain management: a computational study, Preprocessing and cut generation techniques for multi-objective binary programming, A new reduced gradient method for solving linearly constrained multiobjective optimization problems, Scalable min-max multi-objective cyber-security optimisation over probabilistic attack graphs, Complexity of necessary efficiency in interval linear programming and multiobjective linear programming, Approximating the Pareto set of multiobjective linear programs via robust optimization, A multi-objective distance friction minimization model for performance assessment through data envelopment analysis, Greedy algorithms for a class of knapsack problems with binary weights, Exact algorithms for OWA-optimization in multiobjective spanning tree problems, A bicriteria perspective on $L$-penalty approaches -- a corrigendum to Siddiqui and Gabriel's $L$-penalty approach for solving MPECs, The value functions approach and Hopf-Lax formula for multiobjective costs via set optimization, B{\&}B method for discrete partial order optimization, Characterizations of efficient and weakly efficient points in nonconvex vector optimization, Simulation and multi-objective optimization to improve the final shape and process efficiency of a laser-based material accumulation process, A model of anytime algorithm performance for bi-objective optimization, Cooperative multiobjective optimization with bounds on objective functions, A new approach to generate pattern-efficient sets of non-dominated vectors for multi-objective optimization, Optimality conditions for minimax optimization problems with an infinite number of constraints and related applications, Implicit enumeration strategies for the hypervolume subset selection problem, Constraint qualifications for Karush-Kuhn-Tucker conditions in multiobjective optimization, Worst-case complexity bounds of directional direct-search methods for multiobjective optimization, Multi-objective optimization based algorithms for solving mixed integer linear minimum multiplicative programs, Multi-objective optimisation of positively homogeneous functions and an application in radiation therapy, A new Pareto set generating method for multi-criteria optimization problems, Finding multi-objective supported efficient spanning trees, On Pareto-optimality in the cross-efficiency evaluation, The binary knapsack problem with qualitative levels, Multi-objective optimization of a two-echelon vehicle routing problem with vehicle synchronization and `grey zone' customers arising in urban logistics, On single-source capacitated facility location with cost and fairness objectives, Objectives and methods in multi-objective routing problems: a survey and classification scheme, The multiple shortest path problem with path deconfliction, Performance indicators in multiobjective optimization, The price of multiobjective robustness: analyzing solution sets to uncertain multiobjective problems, Trade-off ratio functions for linear and piecewise linear multi-objective optimization problems, An analytical study in multi-physics and multi-criteria shape optimization, A successive linear programming algorithm with non-linear time series for the reservoir management problem, A multi-objective \textbf{DIRECT} algorithm for ship hull optimization, Using modified maximum regret for finding a necessarily efficient solution in an interval MOLP problem, Parametric computation of a fuzzy set solution to a class of fuzzy linear fractional optimization problems, Inverse multiobjective optimization: inferring decision criteria from data, Some new solution concepts in generalized fuzzy multiobjective optimization problems, Explicit multiobjective model predictive control for nonlinear systems under uncertainty, Explicit multiobjective model predictive control for nonlinear systems with symmetries, A tutorial on multiobjective optimization: fundamentals and evolutionary methods, Multiobjective optimization with least constraint violation: optimality conditions and exact penalization, Vectorial penalisation in vector optimisation in real linear-topological spaces, Existence results and optimization over the set of efficient solutions in vector-valued approximation theory, Newton’s method for uncertain multiobjective optimization problems under finite uncertainty sets, On the estimation of Pareto front and dimensional similarity in many-objective evolutionary algorithm, Effective anytime algorithm for multiobjective combinatorial optimization problems, Multi-agent off-policy actor-critic algorithm for distributed multi-task reinforcement learning, Approximate weak minimal solutions of set-valued optimization problems, Time–cost trade-off in a multi-choice assignment problem, Ordinal optimization through multi-objective reformulation, Simultaneous scheduling of replacement and repair of common components in operating systems. A multi-objective mathematical optimization model, Non-contour efficient fronts for identifying most preferred portfolios in sustainability investing, Sublinear scalarizations for proper and approximate proper efficient points in nonconvex vector optimization, Approximating single- and multi-objective nonlinear sum and product knapsack problems, A new scheme for approximating the weakly efficient solution set of vector rational optimization problems, Twenty years of continuous multiobjective optimization in the twenty-first century, Solving multiobjective environmentally friendly and economically feasible electric power distribution problem by primal-dual interior-point method, On the minimum $s-t$ cut problem with budget constraints, Parallel global optimization algorithm with uniform convergence for solving a set of constrained global optimization problems, Biobjective optimization problems on matroids with binary costs, Automated multi-objective system identification using grammar-based genetic programming, An adaptive consensus based method for multi-objective optimization with uniform Pareto front approximation, Targeted multiobjective Dijkstra algorithm, Adaptive sampling stochastic multigradient algorithm for stochastic multiobjective optimization, The steady states of isotone electric systems, Limit sets in global multiobjective optimization, Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC, A utopia point method-based robust vector polynomial optimization scheme, Computational graph pangenomics: a tutorial on data structures and their applications, Constrained regret minimization for multi-criterion multi-armed bandits, PPE supply optimization under risks of disruption from the COVID-19 pandemic, Multiobjective Programming and Multiattribute Utility Functions in Portfolio Optimization, Approximating biobjective minimization problems using general ordering cones, Analysis of the weighted Tchebycheff weight set decomposition for multiobjective discrete optimization problems, PINN training using biobjective optimization: the trade-off between data loss and residual loss, A non-utilitarian discrete choice model for preference aggregation, Exact and approximate determination of the Pareto front using minimal correction subsets, Optimising makespan and energy consumption in task scheduling for parallel systems, An infeasible interior-point technique to generate the nondominated set for multiobjective optimization problems, The balanced $p$-median problem with unitary demand, Adaptive piecewise linear relaxations for enclosure computations for nonconvex multiobjective mixed-integer quadratically constrained programs, Various approaches to multiobjective linear programming problems with interval costs and interval weights, Multi-objective optimization for integrated sugarcane cultivation and harvesting planning, An accelerated algorithm for finding efficient solutions in multiobjective problems with black-box multiextremal criteria, On approximate optimality conditions for robust multi-objective convex optimization problems, Enhancing the predictive performance of ensemble models through novel multi-objective strategies: evidence from credit risk and business model innovation survey data, Filtering Methods for Coupled Inverse Problems, On a progressively censored competing risks data from Gompertz distribution, Epidemic management via imperfect testing: a multi-criterial perspective, Well-posedness and existence for the weak multicriteria Nash equilibrium of multicriteria games, Solving intuitionistic fuzzy multi-objective linear programming problem and its application in supply chain management., A Newton-type proximal gradient method for nonlinear multi-objective optimization problems, An optimization method for characterizing two groups of data, Density function-based trust region algorithm for approximating Pareto front of black-box multiobjective optimization problems, Saving a path minimizing egress time of a dynamic contraflow: a bi-objective programming approach, A Newton-Type Globally Convergent Interior-Point Method To Solve Multi-Objective Optimization Problems, A flexible objective-constraint approach and a new algorithm for constructing the Pareto front of multiobjective optimization problems, Weight set decomposition for weighted rank and rating aggregation: an interpretable and visual decision support tool, Approximate optimal solutions for multiobjective optimization problems with infinite constraints, Face posets of tropical polyhedra and monomial ideals, Multi-criteria optimization problems with vector heterogeneous convolutions of criteria, Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints, On semidefinite programming relaxations for a class of robust SOS-convex polynomial optimization problems, Asymmetric tropical distances and power diagrams, Robust second order cone conditions and duality for multiobjective problems under uncertainty data, Unnamed Item, Unnamed Item, Unnamed Item, Automated Generation of Erotetic Search Scenarios, Preserving cost and revenue efficiency through inverse data envelopment analysis models, Parametrically computing efficient frontiers and reanalyzing efficiency-diversification discrepancies and naive diversification, Robust efficiency and well-posedness in uncertain vector optimization problems, Error estimates for halfspace regularization of state constrained multiobjective elliptic control problems, Unnamed Item, Approximation Methods for Multiobjective Optimization Problems: A Survey, An Efficient Label-Correcting Algorithm for the Multiobjective Shortest Path Problem, Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming, Branch-and-Bound for Biobjective Mixed-Integer Linear Programming, A Bicriteria Approach for Saving a Path Maximizing Dynamic Contraflow, Unnamed Item, Objective Selection for Cancer Treatment: An Inverse Optimization Approach, Unnamed Item, The classification of preordered spaces in terms of monotones: complexity and optimization, Weighted throughput in a single machine preemptive scheduling with continuous controllable processing times, Multi-objective matroid optimization with ordinal weights, Slack-based generalized Tchebycheff norm scalarization approaches for solving multiobjective optimization problems, Generalized polarity and weakest constraint qualifications in multiobjective optimization, Regularities of Pareto sets in low-dimensional practical multi-criteria optimisation problems: analysis, explanation, and exploitation, Augmented Lagrangian cone method for multiobjective optimization problems with an application to an optimal control problem, Lexicographic optimization for the multi-container loading problem with open dimensions for a shoe manufacturer, A multi-objective robust possibilistic programming approach to sustainable public transportation network design, On fuzzy linearization approaches for solving multi-objective linear fractional programming problems, New multi-objective optimization model for tourism systems with fuzzy data and new approach developed epsilon constraint method, Two‐phase strategies for the bi‐objective minimum spanning tree problem, A matheuristic for tri-objective binary integer linear programming, Min‐sum controllable risk problems with concave risk functions of the same value range, Interval-valued seminormed fuzzy operators based on admissible orders, Regularization of the vector problem with quadratic criteria of Pareto optimization, A flexible job shop cell scheduling with sequence‐dependent family setup times and intercellular transportation times using conic scalarization method, An MO‐GVNS algorithm for solving a multiobjective hybrid flow shop scheduling problem, Dini and Hadamard directional derivatives in multiobjective optimization: an overview of some results, Store-wide space planning balancing Impulse and convenience, Complex portfolio selection via convex mixed‐integer quadratic programming: a survey, Finding shortest and dissimilar paths, A criterion space search algorithm for mixed integer linear maximum multiplicative programs: a multiobjective optimization approach, Optimal task-driven time-dependent covariate-based maintenance policy, A metaheuristic for crew scheduling in a pickup‐and‐delivery problem with time windows, The school bus routing problem with student choice: a bilevel approach and a simple and effective metaheuristic, A decision tool based on bilevel optimization for the allocation of water resources in a hierarchical system, Geometric compromise programming: application in portfolio selection, Computing efficiently the nondominated subset of a set sum, Bi‐objective optimization of the tactical allocation of job types to machines: mathematical modeling, theoretical analysis, and numerical tests, Inverse attribute‐based optimization with an application in assortment optimization, Conic Scalarization Method in Multiobjective Optimization and Relations with Other Scalarization Methods, A Cross-Efficiency Approach for Evaluating Decision Making Units in Presence of Undesirable Outputs, On Fuzzy Solutions to a Class of Fuzzy Multi-objective Linear Optimization Problems, Monomial Tropical Cones for Multicriteria Optimization, Optimality conditions of robust convex multiobjective optimization viaε-constraint scalarization and image space analysis, Stationarity Condition for Nonsmooth MPVCs with Constraint Set, Unnamed Item, Linear Matrix Inequality Conditions and Duality for a Class of Robust Multiobjective Convex Polynomial Programs, Blind Source Separation Based on Mixed Integer Programming, Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach, Structural Properties of Pareto Fronts: The Occurrence of Dents in Classical and Parametric Multiobjective Optimization Problems, SOCEMO: Surrogate Optimization of Computationally Expensive Multiobjective Problems, Efficient Storage of Pareto Points in Biobjective Mixed Integer Programming, On a practical notion of Geoffrion proper optimality in multicriteria optimization, A Polynomial-Time-Delay and Polynomial-Space Algorithm for Enumeration Problems in Multi-criteria Optimization, Bi-objective Branch-and-Cut Algorithms Based on LP Relaxation and Bound Sets, Branch-and-Bound for Bi-objective Integer Programming, A New Exact Algorithm to Optimize a Linear Function over the Set of Efficient Solutions for Biobjective Mixed Integer Linear Programs, A Criterion Space Method for Biobjective Mixed Integer Programming: The Boxed Line Method, Filtering Algorithms for Biobjective Mixed Binary Linear Optimization Problems with a Multiple-Choice Constraint, Multistage Stochastic Programs via Stochastic Parametric Optimization, A Globally Convergent SQCQP Method for Multiobjective Optimization Problems, Global stability of interval optimization problems, Mathematical optimization in intensity modulated radiation therapy, Mathematical optimization in intensity modulated radiation therapy, A lexicographical order induced by Schauder bases, Improved smoothed analysis of multiobjective optimization, Solving fuzzy multi objective liner programming problems: an α-cut approach, A vectorization for nonconvex set-valued optimization, Algebraic Theory on Shortest Paths for All Flows, Robustness for uncertain multi-objective optimization: a survey and analysis of different concepts, A generalized DEA model for inputs (outputs) estimation under inter-temporal dependence, $$\varPhi -$$ Weak Slater Constraint Qualification in Nonsmooth Multiobjective Semi-infinite Programming, Semivectorial bilevel programming versus scalar bilevel programming, Comments on: ``Static and dynamic source locations in undirected networks, Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition, ON EFFICIENT SOLUTION OF MULTIOBJECTIVE LINEAR PROGRAMMING, Derivative-free optimization methods, On the Scalarization of Set-Valued Optimization Problems with Respect to Total Ordering Cones, Anchor points in multiobjective optimization: definition, characterization and detection, A Newton method for capturing Pareto optimal solutions of fuzzy multiobjective optimization problems, Unnamed Item, On a weakly C-$\epsilon$-vector saddle point approach in weak vector problems, Control strategies on stable manifolds for energy-efficient swing-ups of double pendula, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Towards optimal control of concentric tube robots in stereotactic neurosurgery, On Minimax Fractional Semi-Infinite Programming Problems with Applications, A New Scalarization Technique and New Algorithms to Generate Pareto Fronts, The modified objective-constraint scalarization approach for multiobjective optimization problems, Algebraic solution to box-constrained bi-criteria problem of rating alternatives through pairwise comparisons, Minimizing maximum lateness in two-stage projects by tropical optimization, Interactive Multiple Criteria Decision Making for Large-Scale Multi-Objective Optimization Problems