Search results for "interactive decision making"
showing 6 items of 6 documents
Constructing a Pareto front approximation for decision making
2011
An approach to constructing a Pareto front approximation to computationally expensive multiobjective optimization problems is developed. The approximation is constructed as a sub-complex of a Delaunay triangulation of a finite set of Pareto optimal outcomes to the problem. The approach is based on the concept of inherent nondominance. Rules for checking the inherent nondominance of complexes are developed and applying the rules is demonstrated with examples. The quality of the approximation is quantified with error estimates. Due to its properties, the Pareto front approximation works as a surrogate to the original problem for decision making with interactive methods. Qc 20120127
Interactive Multiobjective Optimization in Lot Sizing with Safety Stock and Safety Lead Time
2021
In this paper, we integrate a lot sizing problem with the problem of determining optimal values of safety stock and safety lead time. We propose a probability of product availability formula to assess the quality of safety lead time and a multiobjective optimization model as an integrated lot sizing problem. In the proposed model, we optimize six objectives simultaneously: minimizing purchasing cost, ordering cost, holding cost and, at the same time, maximizing cycle service level, probability of product availability and inventory turnover. To present the applicability of the proposed model, we consider a real case study with data from a manufacturing company and apply the interactive NAUTI…
PAINT : Pareto front interpolation for nonlinear multiobjective optimization
2011
A method called PAINT is introduced for computationally expensive multiobjective optimization problems. The method interpolates between a given set of Pareto optimal outcomes. The interpolation provided by the PAINT method implies a mixed integer linear surrogate problem for the original problem which can be optimized with any interactive method to make decisions concerning the original problem. When the scalarizations of the interactive method used do not introduce nonlinearity to the problem (which is true e.g., for the synchronous NIMBUS method), the scalarizations of the surrogate problem can be optimized with available mixed integer linear solvers. Thus, the use of the interactive meth…
Approximation through interpolation in nonconvex multiobjective optimization
2011
Approximation method for computationally expensive nonconvex multiobjective optimization problems
2012
Towards constructing a Pareto front approximation for use in interactive forest management planning
2013
The selection of an appropriate multi-objective forest management plan can be a difficult task due to the vast number of alternatives available to the decision maker (DM). The complexity of the task depends e.g. on how clear the preferences of the DM are. For those DMs who do not have clear preferences, interactive methods of forest planning could assist in clarifying preferences and guiding the selection in an efficient fashion. Interactive planning methods are useful when the DM needs to consider a wide range of efficient solutions quickly. With large forest holdings or with complicated forest management goals, the development of new forest plans can become a rather computationally demand…