Point Metric
Point Metric
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Employ Metrics For Supply Chain Optimization
Copyright (c) 2010 Randall Mauldin
Customer satisfaction can be improved through the implementation of strategic supply chain management based on effective metrics, talented managers, and an understanding that performance is based on interrelated nodes. Managers can make decisions based on quantitative data, instead of intuitive hunches. The most successful supply chains are based on metrics connecting customers, vendors, and logisticians throughout the procurement process. Ultimately, a company will experience reduced cost, improved responsiveness, and better customer service with the supply chain metrics.
Supply chains synchronize nodes to achieve maximum efficiency. Recognizing problems and proactively implementing solutions provide opportunities for managers to link operations to critical factors, enable appropriate allocation of resources, and improve trust across the supply chain. When sales are flat, executives should consider procurement performance as a way to improve profitability.
Procurement efficiency is not considered a strategic part of an organization because supply chains are not optimized, incentives are not tied to procurement performance, and technology is considered a quick fix to fundamental errors within the supply chain. Managers need the responsibility of monitoring key metrics and held accountable for performance. Leading companies consider supply chain management as a strategic part of their business and seek out opportunities to reduce expenses and increase efficiency.
To accomplish effective management, metrics need to be aligned across multiple organizations and focused on critical areas that contribute to success. Metric misalignment and inappropriate measures of performance result in inefficient procurement processes, missed opportunities, or conflict between nodes in the supply chain. Managers focus on evaluating internal performance with financial metrics, such as inventory turns and carrying costs, that do not reflect supply chain efficiency. Performance metrics lean toward internal performance and do not evaluate performance as interrelated nodes; supply chains require alternative metrics to monitor performance. The complexity of this task involves aligning independent operations and assigns a manager to account for the performance of the entire supply chain, not necessarily the performance of one part of the chain. The ultimate goal is to create a cooperative effort across functional areas and across companies to enable a seamless effort to support business objectives.
Although data may be collected, it requires analysis and usable presentation to be useful to managers. An example of useful analysis is the development of simulation models that estimate future performance based on historical data. To maximize efficiency and effectiveness, points of measure need to center on the customer throughout the process. Based on the current economic crisis, businesses need to find value within internal processes to increase value for the customer. Studies have shown that the results of strategic procurement practices are a return on investment of 40 percent by lowering costs, improving productivity, and increasing opportunities. When we consider leading companies manage their supply chains as a strategic part of their business and the significant return on investment, managers should consider how their supply chains could be improved to recover profits during these difficult economic times.
About the Author
to learn move about procurement as a strategic part of your business visit us at
http://jackquinnsolutions.com
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Topics in Metric Fixed Point Theory $46 Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. |
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Handbook of Metric Fixed Point Theory $256.61 Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts. The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers. |
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Fixed Point Theory in Probabilistic Metric Spaces $140.26 Fixed point theory in probabilistic metric spaces can be considered as a part of Probabilistic Analysis, which is a very dynamic area of mathematical research. A primary aim of this monograph is to stimulate interest among scientists and students in this fascinating field. The text is self-contained for a reader with a modest knowledge of the metric fixed point theory. Several themes run through this book. The first is the theory of triangular norms (t-norms), which is closely related to fixed point theory in probabilistic metric spaces. Its recent development has had a strong influence upon the fixed point theory in probabilistic metric spaces. In Chapter 1 some basic properties of t-norms are presented and several special classes of t-norms are investigated. Chapter 2 is an overview of some basic definitions and examples from the theory of probabilistic metric spaces. Chapters 3, 4, and 5 deal with some single-valued and multi-valued probabilistic versions of the Banach contraction principle. In Chapter 6, some basic results in locally convex topological vector spaces are used and applied to fixed point theory in vector spaces. Audience: The book will be of value to graduate students, researchers, and applied mathematicians working in nonlinear analysis and probabilistic metric spaces. |
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The Ambient Metric $47.28 This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in "n"+"2" dimensions that encodes a conformal class of metrics in "n" dimensions. The ambient metric has an alternate incarnation as the Poincar metric, a metric in "n"+"1" dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincar metrics are introduced and shown to be equivalent to the ambient formulation. Self-dual Poincar metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory. |
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Metric Connection $79.66 High Quality Content by WIKIPEDIA articles In mathematics, a metric connection is a connection in a vector bundle E equipped with a metric for which the inner product of any two vectors will remain the same when those vectors are parallel transported along any curve. In mathematics, a vector bundle is a topological construction which makes precise the idea of a family of vector spaces parameterized by another space X (for example X could be a topological space, a manifold, or an algebraic variety): to every point x of the space X we associate (or attach ) a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X (e.g. a topological space, manifold, or algebraic variety), which is then called a vector bundle over X. Author: Surhone, Lambert M./ Tennoe, Mariam T./ Henssonow, Susan F. Binding Type: Paperback Number of Pages: 110 Publication Date: 2010/08/17 Language: English Dimensions: 6.00 x 9.02 x 0.26 inches |
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Software Metric $76.47 High Quality Content by WIKIPEDIA articles A software metric is a measure of some property of a piece of software or its specifications. Since quantitative methods have proved so powerful in the other sciences, computer science practitioners and theoreticians have worked hard to bring similar approaches to software development. Tom DeMarco stated, You cant control what you cant measure. Modern software development practitioners are likely to point out that naive and simplistic measurements can cause more harm than good. Author: Surhone, Lambert M./ Tennoe, Mariam T./ Henssonow, Susan F. Binding Type: Paperback Number of Pages: 88 Publication Date: 2010/10/18 Language: English Dimensions: 9.02 x 5.98 x 0.21 inches |
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The Ambient Metric (AM-178) $80 This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n + 2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincaré metric, a metric in n + 1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in physics. The existence and uniqueness of the ambient metric at the formal power series level is treated in detail. This includes the derivation of the ambient obstruction tensor and an explicit analysis of the special cases of conformally flat and conformally Einstein spaces. Poincaré metrics are introduced and shown to be equivalent to the ambient formulation. Self-dual Poincaré metrics in four dimensions are considered as a special case, leading to a formal power series proof of LeBrun's collar neighborhood theorem proved originally using twistor methods. Conformal curvature tensors are introduced and their fundamental properties are established. A jet isomorphism theorem is established for conformal geometry, resulting in a representation of the space of jets of conformal structures at a point in terms of conformal curvature tensors. The book concludes with a construction and characterization of scalar conformal invariants in terms of ambient curvature, applying results in parabolic invariant theory. |
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