Abstract. – The standard multiple criteria optimization starts with an assumption that the criteria are incomparable. However, there are many applications in which the criteria express ideas of allocation of resources meant to achieve some equitable distribution. This paper focuses on solving linear multiple criteria optimization problems with uniform criteria treated in an equitable way. An axiomatic definition of equitable efficiency is introduced as an refinement of Pareto-optimality. Various generation techniques are examined and the structure of the equitably efficient set is analyzed
An approach to generating all efficient solutions of multiple objective programs with piecewise line...
This thesis contains several contributions to the theory of optimality conditions in single- and mul...
An upper bound on properly efficient solutions in multiobjective optimization is derived for the cas...
The standard multiple criteria optimization starts with an assumption that the criteria are incompar...
Equitable efficiency in multiple criteria optimization was introduced mathematically in the middle o...
Multi-criteria optimization problems naturally arise in practice when there is no single criterion f...
Resource allocation problems are concerned with the allocation of limited resources among competing ...
AbstractIn multiobjective programming, the concept of equitable efficiency strengthens the concept o...
In the paper we investigate the possibility of finding the Pareto set in combinatorial multicriteria...
We consider an extension of a linear model studied by Gale, Kuhn and Tucker (GKT) for an optimizatio...
The concept of equitability in multiobjective programming is generalized within a framework of conve...
The weighted sums approach for linear and convex multiple criteria optimization is well studied. The...
In a classic optimization problem the complete input data is assumed to be known to the algorithm. T...
A linear multi-objective decision problem is considered, of the maximization of the effect of alloca...
International Series in Operations Research & Management Science. ISBN: 978-1-4020-7128-7The roots o...
An approach to generating all efficient solutions of multiple objective programs with piecewise line...
This thesis contains several contributions to the theory of optimality conditions in single- and mul...
An upper bound on properly efficient solutions in multiobjective optimization is derived for the cas...
The standard multiple criteria optimization starts with an assumption that the criteria are incompar...
Equitable efficiency in multiple criteria optimization was introduced mathematically in the middle o...
Multi-criteria optimization problems naturally arise in practice when there is no single criterion f...
Resource allocation problems are concerned with the allocation of limited resources among competing ...
AbstractIn multiobjective programming, the concept of equitable efficiency strengthens the concept o...
In the paper we investigate the possibility of finding the Pareto set in combinatorial multicriteria...
We consider an extension of a linear model studied by Gale, Kuhn and Tucker (GKT) for an optimizatio...
The concept of equitability in multiobjective programming is generalized within a framework of conve...
The weighted sums approach for linear and convex multiple criteria optimization is well studied. The...
In a classic optimization problem the complete input data is assumed to be known to the algorithm. T...
A linear multi-objective decision problem is considered, of the maximization of the effect of alloca...
International Series in Operations Research & Management Science. ISBN: 978-1-4020-7128-7The roots o...
An approach to generating all efficient solutions of multiple objective programs with piecewise line...
This thesis contains several contributions to the theory of optimality conditions in single- and mul...
An upper bound on properly efficient solutions in multiobjective optimization is derived for the cas...