Scaling Invariance and a Characterization of Linear Objective Functions

Author(s):  
Saša Pekeč
Author(s):  
John Duggan

This article looks at the known foundational results on spatial models of elections. The issues of equilibrium existence, the characterization of equilibria (in terms of their social welfare properties), and the distance between equilibrium policy and positions of the candidates are examined. It then discusses the results of the case where candidates are able to give precise predictions of voters' behaviour precisely; the article also introduces the ‘Downsian model’. The article looks at two models of probabilistic voting, before finally moving on to consider the most common objective functions that are used to model the electoral incentives of different types of candidates.


Author(s):  
Doaa Wafik ◽  
O. E. Emam

The aim of this paper is to use a bi-level linear programming technique with rough parameters in the constraints, for measuring the technical efficiency of local banks in UAE and Egypt, while the proposed linear objective functions will be maximized for different goals. Based on Dauer's and Krueger's goal programmingmethod, the described approach was developed to deal with the bi-level decision-making problem. The concept of tolerance membership function together was used to generate the optimal solution for the problem under investigation. Also an auxiliary problem is discussed to illustrate the functionality of the proposed approach.


2005 ◽  
Vol 14 (04) ◽  
pp. 439-467 ◽  
Author(s):  
ANTONIO RUIZ–CORTÉS ◽  
OCTAVIO MARTÍN–DÍAZ ◽  
AMADOR DURÁN ◽  
M. TORO

Software solutions to automate the procurement of web services are gaining importance when technology evolves, the number of providers increases and the needs of the clients become more complex. There are several proposals in this field, but they all have important drawbacks, namely: many of them are not able to check offers and demands for internal consistency; selecting the best offer usually relies on evaluating linear objective functions, which is quite a naive solution; the language to express offers is usually less expressive than the language to express demands; and, last but not least, providers cannot impose constraints on their clients. In this article, we present a solution to overcome these problems that relies on constraint programming; furthermore, we present a run-time framework, some experimental results, and a comparison with other proposals.


Author(s):  
John G. Michopoulos ◽  
Tomonari Furukawa ◽  
John C. Hermanson ◽  
Samuel G. Lambrakos

A hierarchical algorithmic and computational scheme based on a staggered design optimization approach is presented. This scheme is structured for unique characterization of many continuum systems and their associated datasets of experimental measurements related to their response characteristics. This methodology achieves both online (real-time) and offline design of optimum experiments required for characterization of the material system under consideration, while also achieving a constitutive characterization of the system. The approach assumes that mechatronic systems are available for exposing specimens to multidimensional loading paths and for the acquisition of data associated with stimulus and response behavior. Material characterization is achieved by minimizing the difference between system responses that are measured experimentally and predicted based on model representation. The performance metrics of the material characterization process are used to construct objective functions for the design of experiments at a higher-level optimization. The distinguishability and uniqueness of solutions that characterize the system are used as two of many possible measures adopted for construction of objective functions required for design of experiments. Finally, a demonstration of the methodology is presented that considers the best loading path of a two degree-of-freedom loading machine for characterization of the linear elastic constitutive response of anisotropic materials.


1984 ◽  
Vol 5 (2) ◽  
pp. 229-238 ◽  
Author(s):  
Bernhard Korte ◽  
László Lovász

Author(s):  
John G. Michopoulos ◽  
Athanasios Iliopoulos

Motivated by the need to determine the mechanical, electrical and thermal properties of contact surfaces between deformable materials that conduct electricity and heat, we are presenting here a method for characterizing certain topological characteristics of rough surfaces. The inverse identification of a set of parameters associated with the parametric representation of any rough surface based on profilometric data is described in contrast with the standard one parameter approaches. The description of the surface topography parametrization is first given in terms of a function that enables the generation of synthetic data. Objective functions are created based on both the profilometric evaluations of the parametric representation of the surface as well as its power spectrum. A statistical Monte Carlo based optimization method is implemented for determining the characteristic parameters needed for further analysis that leads to the determination of other physical properties of the surface. Numerical application of the method validates the efficiency and the accuracy of the proposed approach.


2019 ◽  
Vol 7 (2) ◽  
pp. 51-55
Author(s):  
Windra Tahir ◽  
Djihad Wungguli ◽  
Muhamad Rezky Friesta Payu

Scheduling workers is one of the problems faced by every company. The regulations set by the company, the availability of the number of workers, and the division of labor are the determining factors in the scheduling system. This worker scheduling problem can be modeled as an Integer Programming problem. Integer Programming is an optimization technique with linear objective functions, linear constraint functions, and integer variables. This paper discusses the formulation of worker scheduling problems in the form of Integer Programming with workers in companies engaged in the production of Crumb Rubber with the objective function of minimizing the number of workers employed. The next model is implemented using the help of LINGO 11.0 software. The implementation results show that the model is able to produce optimal employee schedules.


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