European Journal of Pure and Applied Mathematics 

About: European Journal of Pure and Applied Mathematics is an academic journal published by New York Business Global LLC. The journal publishes majorly in the area(s): Computer science & Dominating set. It has an ISSN identifier of 1307-5543. It is also open access. Over the lifetime, 1021 publications have been published receiving 4096 citations. The journal is also known as: EJPAM & European journal of pure & applied mathematics.

Transmuted Weibull Distribution: A Generalization of theWeibull Probability Distribution

Abstract: In this article, the two parameter Weibull probability distribution is embedded in a larger family obtained by introducing an additional parameter. We generalize the two parameter Weibull distribution using the quadratic rank transmutation map studied by Shaw et al. [ 9 ] to develop a transmuted Weibull distribution. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The usefulness of the transmuted Weibull distribution for modeling reliability data is illustrated using real data.

The analytic hierarchy and analytic network measurement processes: Applications to decisions under Risk

Abstract: Mathematics applications largely depend on scientific practice. In science measurement depends on the use of scales, most frequently ratio scales. A ratio scale there is applied to measure various physical attributes and assumes a zero and an arbitrary unit used uniformly throughout an application. Different ratio scales are combined by means of formulas. The formulas apply within structures involving variables and their relations under natural law. The meaning and use of the outcome is then interpreted according to the judgment of an expert as to how well it meets understanding and experience or satisfies laws of nature that are always there. Science derives results objectively, but interprets their significance is subjectively. In decision making, there are no set laws to characterize structures in which relations are predetermined for every decision. Understanding is needed to structure a problem and then also to use judgments to represent importance and preference quantitatively so that a best outcome can be derived by combining and trading off different factors or attributes. From numerical representations of judgments, priority scales are derived and synthesized according to given rules of composition. In decision making the priority scales can only be derived objectively after subjective judgments are made. The process is the opposite of what we do in science. This paper summarizes a mathematical theory of measurement in decision making and applies it to real-life examples of complex decisions.

Theory of Fractional Differential Equations in a Banach Space

Abstract: In this paper, the basic theory of fractional differential equations in a Banach Space is discussed including flow invariance and theory of inequalities in cones.

Transmuted Modified Weibull Distribution: A Generalization of the Modified Weibull Probability Distribution

Abstract: T his paper introduces a transmuted modified Weibull distribution as an important compet- itive model which contains eleven life time distributions as special cases. We generalized the three parameter modified Weibull distribution using the quadratic rank transmutation map studied by Shaw et al. (12) to develop a transmuted modified Weibull distribution. The properties of the transmuted modified Weibull distribution are discussed. Least square estimation is used to evaluate the parame- ters. Explicit expressions are derived for the quantiles. We derive the moments and examine the order statistics. We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. This model is capable of modeling of various shapes of aging and failure criteria. 2010 Mathematics Subject Classifications: 90B25; 62N05

A Blood Bank Location Model: A Multiobjective Approach

Abstract: This effort derived a mathematical programming model, which is a hybrid from set covering model of discrete location approaches and center of gravity method of continuous location models, for location of blood banks among hospitals or clinics, rather than blood bank layout in health care institutions. It is initially unknown the number of blood banks will be located within capacity, their geographical locations and their covering area. The solution of the model enlightens the initial darkness in a multiobjective view. The objectives, which are handled via binary nonlinear goal programming, are minimizitation of total fixed cost of location blood banks, total traveled distance between the blood banks and hospitals and an inequality index as a fairness mechanism for the distances. A hypothetical numerical example is solved using MS Excel as a powerful spreadsheet tool. The recipe, which is an application of medical operations research, may be a useful tool for health care policy makers.