In this study, an environmental economic active power dispatch problem is transformed into an optimization problem with a single-objective function by applying the weighted sum method (WSM) and the conic scalarization method (CSM). A pseudo spot price of electricity algorithm (PSPA) is used to solve the transformed problem. This is demonstrated on an example problem, which is a lossy electrical...

We introduce a new flexible Inexact-Restoration (IR) algorithm and an application to Multiobjective Constrained Optimization Problems (MCOP) under the weighted-sum scalarization approach. In IR methods each iteration has two phases. In the first phase one aims to improve feasibility and, in the second phase, one minimizes a suitable objective function. In the second phase we also impose bounded...

We propose a formal analysis with some theoretical properties of weight-prioritized multi-task inverse-dynamics-like control of humanoid robots, being a case of redundant “manipulators” with a non-actuated free-floating base and multiple unilateral frictional contacts with the environment. The controller builds on a weighted sum scalarization of a multiobjective optimization problem under equal...

data envelopment analysis (dea) is a method for measuring the efficiency of peer decision making units (dmus) which uses a set of inputs to produce a set of outputs. in some cases, dmus have a two-stage structure, in which the first stage utilizes inputs to produce outputs used as the inputs of the second stage to produce final outputs. one important issue in two-stage dea is the sensitivity of...

Sensitivity is an important complexity measure of Boolean functions. In this paper we present properties of the minimal and maximal sensitivity of the simplified weighted sum function. A simple close formula of the minimal sensitivity of the simplified weighted sum function is obtained. A phenomenon is exhibited that the minimal sensitivity of the weighted sum function is indeed an indicator of...

This work studies linear transmit filter design to maximize weighted sum-rate for the Multiple Input Multiple Output Broadcast Channel (MIMO-BC). In a recent result, it was shown that the derivative of mutual-information is equal to the Minimum Mean Square Error (MMSE) for the single-user case. This paper derives a relation between weighted sum-rate and weighted sum-MMSE for the MIMO-BC by exte...

The aim of this paper is to investigate several inherited properties of convexity for set-valued maps and develop computational procedure based on such inherited properties. In this paper, we introduced two types of characteristic functions by using Tchebyshev scalarization, and defined four types of scalarization functions to characterize the images of set-valued maps.

In this paper, without assumption of monotonicity, we study the compactness and the connectedness of the weakly efficient solutions set to vector equilibrium problems by using scalarization method in locally convex spaces. Our results improve the corresponding results in [X. H. Gong, Connectedness of the solution sets and scalarization for vector equilibrium problems, J. Optim. Theory Appl. 133...