Duality of the improved algebraic method (DIAM)

In this note we present a variant of the improved algebraic method (IAM) using a duality analysis to solve linear programming (LP) problems where more insights to the method are presented. When the coordinates of all vertices are computed, any feasible point can be expressed as a linear combination of the vertices. The objective function is expressed as a weighted sum of its evaluation at the feasible vertices and the optimal point is associated with the highest/lowest coefficient of the weighted sum.     

Hybrid Processing of Stochastic and Subjective Uncertainty Data

Uncertainty analyses typically recognize separate stochastic and subjective sources of uncertainty, but do not systematically combine the two, although a large amount of data used in analyses is partly stochastic and partly subjective. We have developed methodology for mathematically combining stochastic and subjective sources of data uncertainty, based on new "hybrid number" approaches. The methodology can be utilized in conjunction with various traditional techniques, such as PRA (probabilistic risk assessment) and risk analysis decision support. Hybrid numbers have been previously examined as a potential method to represent combinations of stochastic and subjective information, but mathematical processing has been impeded by the requirements inherent in the structure of the numbers, e.g., there was no known way to multiply hybrids. In this paper, we will demonstrate methods for calculating with hybrid numbers that avoid the difficulties. By formulating a hybrid number as a probability distribution that is only fuzzily known, or alternatively as a random distribution of fuzzy numbers, methods are demonstrated for the full suite of arithmetic operations, permitting complex mathematical calculations. It will be shown how information about relative subjectivity (the ratio of subjective to stochastic knowledge about a particular datum) can be incorporated. Techniques are also developed for conveying uncertainty information visually, so that the stochastic and subjective components of the uncertainty, as well as the ratio of knowledge about the two, are readily apparent. The techniques demonstrated have the capability to process uncertainty information for independent, uncorrelated data, and for some types of dependent and correlated data. Example applications are suggested, illustrative problems are shown, and graphical results are given.     

Conservative linear programming with mixed multiple objectives

In an ordinary linear program a single objective vector is constructed and one attempts to choose a decision vector to optimize this objective. Often multiple criteria exist or exact estimates for the components of a single objective vector are not entirely clear. For these cases a conservative decision-maker may want to choose an alternative that maximizes the objective value under the worst foreseeable circumstances. Herein we develop a unified framework for applying the maximin criterion to problems with various degrees of uncertainty attached to the objective vector. Three cases are solved via linear programming: (1) Complete Information, (2) Partial Information, and (3) Total Ignorance. It is shown that the functional value of the maximin solution decreases in a convex manner with increasing uncertainty. In addition certain relationships between maximin and efficient solutions are provided. Finally, an extension to integer constrained decision variables is presented.     

MARITAL QUALITY AMONG COUPLES LIVING UNDER THE THREAT OF FORCED RELOCATION: THE CASE OF FAMILIES IN THE GOLAN HEIGHTS

This study aims to explore how the long period of uncertainty about possible relocation affects the marital quality of the population in the Golan Heights and what forms of coping with this ongoing stress are used. The results, based on both quantitative and qualitative data, indicate a circular process in which the level of stress generated by the uncertainty varies with marital quality and with other personal and family resources, such as potency and an appreciation of the spouse's ability to cope with the stress. Four ways of coping with the uncertainty were observed in in-depth interviews: fighting, ignoring, postponing, and planning. The results are discussed in terms of their meaning for possible systemic interventions.     

More than Surface Tension: Femmes in Families

SUMMARY

This article raises questions about the lack of scholarly focus on butch/femme couples and their absence in studies of lesbian couples and family-building. In an era of lesbian marriage and lesbian parenting, femme and butch coupling and family-building remain unspoken topics within family studies, including lesbian, gay, bisexual, transgender (LGBT)–specific research. Moving beyond a focus on eroticism within the femme/butch couple, questions about how gender expression impacts other relationships dynamics, including the maintenance of long-term relationships, power and intimacy, domestic chores and child-rearing, are raised. The femme role in “homemaking,” that is, building and maintaining families, especially needs further exploration.     

Quasiextinction Probabilities as a Measure of Impact on Population Growth

A probabilistic language based on stochastic models of population growth is proposed for a standard language to be used in environmental assessment. Environmental impact on a population is measured by the probability of quasiextinction. Density-dependent and independent models are discussed. A review of one-dimensional stochastic population growth models, the implications of environmental autocorrelation, finite versus "infinite" time results, age-structured models, and Monte Carlo simulations are included. The finite time probability of quasiextinction is presented for the logistic model. The sensitivity of the result with respect to the mean growth rate and the amplitude of environmental fluctuations are examined. Stochastic models of population growth form a basis for formulating reasonable criteria for environmental impact estimates.     

Leveraging Mega Events for Capacity Building in Voluntary Sport Organisations

Strengthening the work of national voluntary sport organisations (VSOs) is of strategic importance as they are considered custodians of their sport and have been entrusted with its governance, management of significant public funds and provision of services to a vast network of clubs and millions of participants. Using a mixed method approach, the study examined how VSOs in the UK and Russia leveraged the 2012 London and 2014 Sochi Olympics for capacity building. The political framing of the Games as a leverageable resource stimulated VSOs’ engagement, but it was more on a tactical than strategic basis. Three main leveraging processes were employed by VSOs including aligning organisational objectives with the Games’ strategic visions, using structured Olympic programmes and teaming up with a development partner. VSOs used the Games to enhance their organisational capacity in three areas of staff qualifications, organisational learning and performance management and created public value.     

Modeling fixed-charge problems with polynomials

In this paper we formulate fixed-charge problems with polynomials. Using polynomial formulations we show structural similarity between different kinds of linear and fixed charge formulations. We also show the benefits of applying polynomial formulation for finding an approximate solution for problems where no algorithms exist and in some cases for developing a method to provide direct solutions to those problems. The main benefit of this paper is better understanding of the fixed-charge function structure and better explanation of the local and global minima phenomena. We present a numerical example to illustrate applications of the proposed method.