Preservation of Supermodularity in Two Dimensional Parametric Optimization Problems and its Applications
نویسندگان
چکیده
This paper establishes a new preservation property of supermodularity in a class of two dimensional parametric optimization problems, where the constraint set may not be a lattice. This property and its extensions include several existing results in the literature as special cases, and provide powerful tools as we illustrate their applications to several operations models.
منابع مشابه
Technical Note - Preservation of Supermodularity in Parametric Optimization Problems with Nonlattice Structures
This paper establishes a new preservation property of supermodularity in a class of two-dimensional parametric optimization problems, where the constraint sets may not be lattices. This property and its extensions unify several results in the literature and provide powerful tools to analyze a variety of operations models including a two-product coordinated pricing and inventory control problem ...
متن کاملOptimal Pareto Parametric Analysis of Two Dimensional Steady-State Heat Conduction Problems by MLPG Method
Numerical solutions obtained by the Meshless Local Petrov-Galerkin (MLPG) method are presented for two dimensional steady-state heat conduction problems. The MLPG method is a truly meshless approach, and neither the nodal connectivity nor the background mesh is required for solving the initial-boundary-value problem. The penalty method is adopted to efficiently enforce the essential boundary co...
متن کاملThe Quasi-Normal Direction (QND) Method: An Efficient Method for Finding the Pareto Frontier in Multi-Objective Optimization Problems
In managerial and economic applications, there appear problems in which the goal is to simultaneously optimize several criteria functions (CFs). However, since the CFs are in conflict with each other in such cases, there is not a feasible point available at which all CFs could be optimized simultaneously. Thus, in such cases, a set of points, referred to as 'non-dominate' points (NDPs), will be...
متن کاملComprehensive Parametric Study for Design Improvement of a Low-Speed AFPMSG for Small Scale Wind-Turbines
In this paper, a comprehensive parametric analysis for an axial-flux permanent magnet synchronous generator (AFPMSG), designed to operate in a small-scale wind-power applications, is presented, and the condition for maximum efficiency, minimum weight and minimum cost is deduced. Then a Computer-Aided Design (CAD) procedure based on the results of parametric study is proposed. Matching between t...
متن کاملDAMAGE IDENTIFICATION BY USING MODAL EXPANSION AND TOPOLOGY OPTIMIZATION IN THREE DIMENSIONAL ELASTICITY PROBLEMS
In this paper, topology optimization is utilized for damage detection in three dimensional elasticity problems. In addition, two mode expansion techniques are used to derive unknown modal data from measured data identified by installed sensors. Damages in the model are assumed as reduction of mass and stiffness in the discretized finite elements. The Solid Isotropic Material with Penalization (...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011