Nonmonotone hybrid tabu search for inequalities and equalities: an experimental study

The main goal of this paper is to analyze the behavior of nonmono- tone hybrid tabu search approaches when solving systems of nonlinear inequalities and equalities through the global optimization of an appro- priate merit function. The algorithm combines global and local searches and uses a nonmonotone reduction of the merit function to choose the local search. Relaxing the condition aims to call the local search more often and reduces the overall computational e ort. Two variants of a perturbed pattern search method are implemented as local search. An experimental study involving a variety of problems available in the lit- erature is presented.

Combining global tabu search with local search for solving systems of equalities and inequalities

This papers aims at providing a combined strategy for solving systems of equalities and inequalities. The combined strategy uses two types of steps: a global search step and a local search step. The global step relies on a tabu search heuristic and the local step uses a deterministic search known as Hooke and Jeeves. The choice of step, at each iteration, is based on the level of reduction of the l2-norm of the error function observed in the equivalent system of equations, compared with the previous iteration.

Visualising In/Equalities through Contemporary Documentary Cinema. A Diffractive Reading of Feminist Practices in Spanish and Italian Non-Fiction Films

This thesis brings together feminist documentary film theory and feminist new materialism(s) to describe how feminist material-discursive practices in a sample of Spanish and Italian documentary cinema made between 2013-2018 (can) visualise gender in/equalities. The accomplished objectives have been: 1. Building a bridge between feminist documentary film theory and Karen Barad’s diffractive methodology by approaching non-fiction cinema that deals with social inequalities as a diffraction apparatus. 2. Developing a feminist toolbox for a response-able gaze by gathering different insights from feminist film theory. 3. Identifying feminist material-discursive practices in a sample of documentary films produced in Spain and Italy over the last six years (2013-2018). 4. Analysing the effects that these feminist material-discursive practices in documentary cinema have, particularly in terms of visualising gender in/equalities on both sides of the camera and on both sides of the screen. 5. Revealing patterns between the ten case studies by reading through one another (i.e. diffractively) insights raised in each one of them. In ten documentary films/case studies, I identify patterns of continuities and differences concerning feminist material-discursive practices at four levels: content, form, production and reception. In terms of contents, I detect two patterns in which feminist material-discursive practices may operate: enacting the right to appear or enacting the right to look back and/or against the grain. As for the forms, I exemplify how feminism politicises Bill Nichols’s six modes of representation. My analysis of production practices is elaborated along the filmmakers’ self-positions/situatedness, tensions/obstructions, and effects/affects/emotions regarding four key concepts: documentary cinema, equality, gender and feminism(s). And in the case of reception practices, I identify patterns of affective identification and/or intellectual reflections.

Loss minimization by the predictor-corrector modified barrier approach

This paper presents a new approach, predictor-corrector modified barrier approach (PCMBA), to minimize the active losses in power system planning studies. In the PCMBA, the inequality constraints are transformed into equalities by introducing positive auxiliary variables. which are perturbed by the barrier parameter, and treated by the modified barrier method. The first-order necessary conditions of the Lagrangian function are solved by predictor-corrector Newton`s method. The perturbation of the auxiliary variables results in an expansion of the feasible set of the original problem, reaching the limits of the inequality constraints. The feasibility of the proposed approach is demonstrated using various IEEE test systems and a realistic power system of 2256-bus corresponding to the Brazilian South-Southeastern interconnected system. The results show that the utilization of the predictor-corrector method with the pure modified barrier approach accelerates the convergence of the problem in terms of the number of iterations and computational time. (C) 2008 Elsevier B.V. All rights reserved.

On the distance between distinct group Latin squares

In an article in 1992, Drapal addressed the question of how far apart the multiplication tables of two groups can be? In this article we continue this investigation; in particular, we study the interaction between partial equalities in the multiplication tables of the two groups and their subgroup structure. (C) 1997 John Wiley & Sons, Inc.

Future gender relations in global restructuring processes case study evidence from knowledge-intensive, manufacturing and service occupations

Global restructuring processes have not only strong implications for European working and living realities, but also have specific outcomes with regard to gender relations. The following contribution analyses in which way global restructuring shapes current gender relations in order to identify important trends and developments for future gender (in)equalities at the workplace. On the basis of a large qualitative study on global restructuring and impacts on different occupational groups it argues that occupational belonging in line with skill and qualification levels are crucial factors to assess the further development of gender relations at work. Whereas global restructuring in knowledge-based occupations may provide new opportunities for female employees, current restructuring is going to deteriorate female labour participation in service occupations. In contrast, manufacturing occupations can be characterised by persistent gender relations, which do not change in spite of major restructuring processes at the work place. Taking the institutional perspective into account, it seems to be crucial to integrate the occupational perspective in order to apply adequate policy regulations to prevent the reinforcement of gender related working patterns in the near future.

Age Discrimination in Mental Health Services

The UK government is considering the introduction of legislation to outlaw age discrimination in the provision of public services. The Department of Health commissioned a short piece of research to explore the extent of age discrimination in mental health services. �� Three broad issues are addressed in this report: inequalities between adult and older people�۪s mental health services; inequalities between adults and older people with mental health problems in their use of health and social care services;and knowledge about the likely single equalities legislation in current services and the possible costs of implementation. The report does not examine differences in outcomes.

Equality Bill: Making it work Policy proposals for specific duties: Policy Statement

The new single Equality Duty represents a next step in equality legislation. The existing public sector equality duties for race, disability and gender were pioneering pieces of legislation which placed the public sector at the forefront of tackling discrimination and inequality.Many have seen the benefits the existing duties have delivered, but now is the time to go further. the aim of this bill is to extend the benefits of the equality duties to the other protected characteristics of age, sexual orientation, gender reassignment, and religion or belief.The Equality Duty will require public bodies to think about how they can eliminate discrimination, advance equality of opportunity and foster good relations for all the protected groups.

A new compact linear programming formulation for choice network revenue management

The choice network revenue management model incorporates customer purchase behavioras a function of the offered products, and is the appropriate model for airline and hotel networkrevenue management, dynamic sales of bundles, and dynamic assortment optimization.The optimization problem is a stochastic dynamic program and is intractable. A certainty-equivalencerelaxation of the dynamic program, called the choice deterministic linear program(CDLP) is usually used to generate dyamic controls. Recently, a compact linear programmingformulation of this linear program was given for the multi-segment multinomial-logit (MNL)model of customer choice with non-overlapping consideration sets. Our objective is to obtaina tighter bound than this formulation while retaining the appealing properties of a compactlinear programming representation. To this end, it is natural to consider the affine relaxationof the dynamic program. We first show that the affine relaxation is NP-complete even for asingle-segment MNL model. Nevertheless, by analyzing the affine relaxation we derive a newcompact linear program that approximates the dynamic programming value function betterthan CDLP, provably between the CDLP value and the affine relaxation, and often comingclose to the latter in our numerical experiments. When the segment consideration sets overlap,we show that some strong equalities called product cuts developed for the CDLP remain validfor our new formulation. Finally we perform extensive numerical comparisons on the variousbounds to evaluate their performance.

An Efficient Nominal Unification Algorithm

Nominal Unification is an extension of first-order unification where terms can contain binders and unification is performed modulo α equivalence. Here we prove that the existence of nominal unifiers can be decided in quadratic time. First, we linearly-reduce nominal unification problems to a sequence of freshness and equalities between atoms, modulo a permutation, using ideas as Paterson and Wegman for first-order unification. Second, we prove that solvability of these reduced problems may be checked in quadràtic time. Finally, we point out how using ideas of Brown and Tarjan for unbalanced merging, we could solve these reduced problems more efficiently

General method to determine replica symmetry breaking transitions

We introduce a new parameter to investigate replica symmetry breaking transitions using finite-size scaling methods. Based on exact equalities initially derived by F. Guerra this parameter is a direct check of the self-averaging character of the spin-glass order parameter. This new parameter can be used to study models with time reversal symmetry but its greatest interest lies in models where this symmetry is absent. We apply the method to long-range and short-range Ising spin-glasses with and without a magnetic field as well as short-range multispin interaction spin-glasses.

Theta-duality on Prym varieties and a Torelli Theorem

Let $\pi : \widetilde C \to C$ be an unramified double covering of irreducible smooth curves and let $P$ be the attached Prym variety. We prove the scheme-theoretic theta-dual equalities in the Prym variety $T(\widetilde C)=V^2$ and $T(V^2)=\widetilde C$, where $V^2$ is the Brill-Noether locus of $P$ associated to $\pi$ considered by Welters. As an application we prove a Torelli theorem analogous to the fact that the symmetric product $D^{(g)}$ of a curve $D$ of genus $g$ determines the curve.

The first group (co)homology of a group G with coefficients in some G-modules

Let G be a group. We give some formulas for the first group homology and cohomology of a group G with coefficients in an arbitrary G-module (Z) over tilde. More explicit calculations are done in the special cases of free groups, abelian groups and nilpotent groups. We also perform calculations for certain G-module M, by reducing it to the case where the coefficient is a G-module (Z) over tilde. As a result of the well known equalities H-1(X, M) = H-1(pi(1)(X), M) and H-1(X, M) = H-1(pi(1) (X), M), for any G-module M, we are able to calculate the first homology and cohomology groups of topological spaces with certain local system of coefficients.