Optimization of positive generalized polynomials under constraints.
Optimization of power transmission systems using a multi-level decomposition approach
We discuss the use of operations research methods for computer-aided design of mechanical transmission systems. We consider how to choose simultaneously transmission ratios and basic design parameters of transmission elements (diameters, widths, modules and tooth number for gears, diameters of shafts). The objectives, by the order of importance, are: to minimize the deviation of the obtained speeds from desired; to maximize the transmission life; to minimize the total mass. To solve this...
Optimization of repair limit replacement policies for one unit systems
Optimization of the shape of axisymmetric shells
Axisymmetric thin elastic shells of constant thickness are considered and the meridian curves of their middle surfaces taken for the design variable. Admissible functions are smooth curves of a given length, which are uniformly bounded together with their first and second derivatives, and such that the shell contains a given volume. The loading consists of the hydrostatic pressure of a liquid, the shell's own weight and the internal or external pressure. As the cost functional, the integral of the...
Optimization of touristic distribution networks using genetic algorithms.
The eight basic elements to design genetic algorithms (GA) are described and applied to solve a low demand distribution problem of passengers for a hub airport in Alicante and 30 touristic destinations in Northern Africa and Western Europe. The flexibility of GA and the possibility of creating mutually beneficial feed-back processes with human intelligence to solve complex problems as well as the difficulties in detecting erroneous codes embedded in the software are described. A new three-parent...
Optimization of unimodal monotone pseudoboolean functions
Optimization problem under two-sided (max, +)/(min, +) inequality constraints
-linear functions are functions which can be expressed as the maximum of a finite number of linear functions of one variable having the form , where , , are real numbers. Similarly -linear functions are defined. We will consider optimization problems in which the set of feasible solutions is the solution set of a finite inequality system, where the inequalities have -linear functions of variables on one side and -linear functions of variables on the other side. Such systems can be applied...
Optimization problem with parameter and its application to the problems of two-stage stochastic nonlinear programming
Optimization problems for set functions.
Optimization problems with convex epigraphs. Application to optimal control
For a class of infinite-dimensional minimization problems with nonlinear equality constraints, an iterative algorithm for finding global solutions is suggested. A key assumption is the convexity of the ''epigraph'', a set in the product of the image spaces of the constraint and objective functions. A convexification method involving randomization is used. The algorithm is based on the extremal shift control principle due to N.N. Krasovskii. An application to a problem of optimal control for a bilinear...
Optimization schemes for wireless sensor network localization
Many applications of wireless sensor networks (WSN) require information about the geographical location of each sensor node. Self-organization and localization capabilities are one of the most important requirements in sensor networks. This paper provides an overview of centralized distance-based algorithms for estimating the positions of nodes in a sensor network. We discuss and compare three approaches: semidefinite programming, simulated annealing and two-phase stochastic optimization-a hybrid...
Optimization shape of variable capacitance micromotor using differential evolution algorithm.
Optimization under Nonnegativity Constraints.
Optimization using an evolutionary hyperplane guided approach.
Optimization-based approach to path planning for closed chain robot systems
An application of advanced optimization techniques to solve the path planning problem for closed chain robot systems is proposed. The approach to path planning is formulated as a “quasi-dynamic” NonLinear Programming (NLP) problem with equality and inequality constraints in terms of the joint variables. The essence of the method is to find joint paths which satisfy the given constraints and minimize the proposed performance index. For numerical solution of the NLP problem, the IPOPT solver is used,...
Optimizing second-order differential equation systems.
Optimum age replacement policy with two failure modes
Optimum Allocation in Multivariate Stratified Random Sampling with Overhead Cost.
Optimum beam design via stochastic programming
The purpose of the paper is to discuss the applicability of stochastic programming models and methods to civil engineering design problems. In cooperation with experts in civil engineering, the problem concerning an optimal design of beam dimensions has been chosen. The corresponding mathematical model involves an ODE-type constraint, uncertain parameter related to the material characteristics and multiple criteria. As a~result, a~multi-criteria stochastic nonlinear optimization model is obtained....
Optimum checking of replaceable systems under restrictions of the loss cost per unit time