A theoretical justification for an increasing average failure rate strength distribution in fibrous composites

A general model for the failure of fibrous composite materials is described. It is shown to contain some of the well-known models in the literature. The composite material is viewed as a coherent system of independent identically distributed component strengths. Under the assumption that the applied load is redistributed “homotonically” to the unfailed components upon the failure of a component (an individual fiber segment) and that the distributions of component strengths are IFRA, it is shown that the system (composite) strength distribution is also IFRA. Examples are given using carbon reinforced composite data to illustrate the IFRA property.     

IF YOU WANT IT DONE RIGHT,DO IT YOURSELF

Some have argued that the transatlantic rancor over the Iraq war made cooperation, especially on nonproliferation, unlikely. In contrast, this article, documents post-invasion instances of nonproliferation cooperation, with particular emphasis on the Proliferation Security Initiative and the EU-3 Initiative—the British, French, and German negotiations with Iran over its suspected nuclear activities. In addition to documenting French and British participation in these initiatives, the article analyzes why they have chosen to participate and argues that France and Britain have participated in both efforts because they are committed to avoiding future Iraq-like preventive wars.     

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Abstract

This paper seeks to critically appraise Africa's position within the United Nations Security Council from the inception of the UN in 1945 until the end of 2010, spanning the entire history of the world body. A few factors make such an appraisal a useful exercise. These include the ongoing debates about the reform of the Council in particular and the UN as a whole, and the growing interest that many African students and observers of and actors in international relations seem to have developed in recent years in the working of the world body. In this appraisal, emphasis will be placed on the origin and rationale behind the establishment of the Security Council as well as the use of the veto power by its permanent members, with a special reference to Africa.     

Winning the ‘War on Terror’? Roy Mason's Contribution to Counter-Terrorism in Northern Ireland

Roy Mason's tenure as Northern Ireland Secretary marked a watershed, yet it has provoked little analysis. Contrary to his popular image, security policy under Mason remained within the limits that had determined the formulation of British counter-terrorism ever since 1972. It was precisely because of this strategic environment that Mason's contribution was little more than a change in rhetoric, the implications of which were contradictory. Likewise, his key political idea of promoting ‘constitutional security’ negated its stated purpose by furthering instability, and – in the longer term – by making Dublin's permanent inclusion in the government of the province a political imperative.     

A produce‐to‐stock system with advance demand information and secondary customers

We consider a manufacturer (i.e., a capacitated supplier) that produces to stock and has two classes of customers. The primary customer places orders at regular intervals of time for a random quantity, while the secondary customers request a single item at random times. At a predetermined time the manufacturer receives advance demand information regarding the order size of the primary customer. If the manufacturer is not able to fill the primary customer's demand, there is a penalty. On the other hand, serving the secondary customers results in additional profit; however, the manufacturer can refuse to serve the secondary customers in order to reserve inventory for the primary customer. We characterize the manufacturer's optimal production and stock reservation policies that maximize the manufacturer's discounted profit and the average profit per unit time. We show that these policies are threshold‐type policies, and these thresholds are monotone with respect to the primary customer's order size. Using a numerical study we provide insights into how the value of information is affected by the relative demand size of the primary and secondary customers. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Exact expected values of variance estimators for simulation

We formulate exact expressions for the expected values of selected estimators of the variance parameter (that is, the sum of covariances at all lags) of a steady‐state simulation output process. Given in terms of the autocovariance function of the process, these expressions are derived for variance estimators based on the simulation analysis methods of nonoverlapping batch means, overlapping batch means, and standardized time series. Comparing estimator performance in a first‐order autoregressive process and the M/M/1 queue‐waiting‐time process, we find that certain standardized time series estimators outperform their competitors as the sample size becomes large. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

On the use of lexicographic min cost flows in evacuation modeling

Building evacuation problems can be represented as dynamic network-flow problems [3]. The underlying network structure of a building evolves through time yielding a time-expanded network (a dynamic network). Usually in such evacuation problems involving time, more than one objective function is appropriate. For example, minimizing the total evacuation time and evacuating a portion of the building as early as possible are two such objectives. In this article we show that lexicographical optimization is applicable in handling such multiple objectives. Minimizing the total evacuation time while avoiding cyclic movements in a building and “priority evacuation” are treated as lexicographical min cost flow problems.     

Nature of renyi's entropy and associated divergence function

Nature of Renyi's entropy and associated divergence function is discussed in terms of concave (convex) and pseudoconcave (pseudoconvex) functions.