This report concerns a method for computing a substitute inverse for linear programs with a staircase structure. The constraints of a staircase structure linear program are of the following form: A(1)x(1)=d(1); B(t-1)x(t-1)+A(t)x(t) = d(t); (t = 2 ..., T). Letting m(i) be the number of constraints in period i, the substitute inverse consists of the inverse of T matrices which are m(i) x m(i), i = 1 ..., T as opposed to the actual inverse which is m x m, m = Sum over i m(i). Hence the substitute inverse would require significantly less storage than the actual inverse. Two methods are presented for updating the substitute inverse, both of which consist of updating some, but not necessarily all of the T smaller inverses. The first, a pivoting method, requires appending one or more columns to the smaller inverse and pivoting on the appended columns. The second requires adding one to T dyad matrices to the smaller inverses. Computational efficiency of both methods can be tested to a large degree using standard linear programming codes. (Author).
The second requires adding one to T dyad matrices to the smaller inverses. Computational efficiency of both methods can be tested to a large degree using standard linear programming codes. (Author).
A powerful PC-based program designed for regulatory screening and prioritizing and industrial screening of chemicals Take the guesswork out of calculating the probability of a chemical biodegrading rapidly or slowly under anaerobic conditions in a mixed culture of microorganisms. Biodegradation Probability Program does the calculations for you using fragment constants developed with multiple linear and non-linear regressions and data from Syracuse Research Corporation's evaluation biodegradation database (BIODEG). The program will run on any IBM® or IBM-compatible computer with 260K RAM. Biodegradation Probability Program is already being used by the U.S. Environmental Protection Agency (EPA) and major chemical companies. It is indispensable for environmental professionals and regulatory people who need to predict biodegradibility for chemicals lacking experimental data. The program will be of special interest to all remediation firms working with biodegradation technologies.
The first results screen pertains to the linear biodegradation fragments. The
second results screen pertains to the non-linear biodegradation fragments.
Example results screens are shown in Figures 2 and 3. SMILES I CCCCO CHEM
I Butanol ...
This comprehensive book deals with the theoretical aspects of operations research, and explains the concepts with practical examples. It begins by focusing on the need and prerequisites of operations research and moves on to discuss topics such as linear programming, integer programming, nonlinear programming, assignment problems, and inventory models in sufficient detail. Besides, this text also explains how to achieve different goals in the order of priority to optimize the objective function, various criteria of decision making under certainty, uncertainty and risk, and different techniques of analyzing the time involved in completing the project and the related cost. KEY FEATURES : Gives well-defined algorithms to illustrate the different techniques of operations research. Inventory problems are discussed with calculus. Provides worked-out examples in each chapter to illustrate the concepts discussed. This text is intended for the undergraduate and postgraduate students of Mathematics, Statistics, Engineering, and postgraduate students of Computer Applications and Business Administration. In addition, practising executives, consultants and managers will also find the book very useful.
In recent years, statisticians, engineers, economists and students of management
have placed increasing emphasis on decision making under conditions of
uncertainty. This area of study has been called statistical decision theory,
Bayesian ...
The book covers the standard models and techniques used in decision making in organizations. The main emphasis of the book is on modeling business-related scenarios and the generation of decision alternatives. Fully solved examples from many areas are used to illustrate the main concepts without getting bogged down in technical details. The book presents an approach to operations research that is heavily based on modeling and makes extensive use of sensitivity analyses. It is a result of many years of combined teaching experience of the authors.The second edition adds new material on multicriteria optimization, postman problems, Lagrangian relaxation, cutting planes, machine scheduling, and Markov chains. Support material is found on a free website and includes some algorithms, additional fully solved problems and slides for instructors.
Since the 1960s, operations research (or, alternatively, management science)
has become an indispensable tool in scientific management. In simple words, its
goal on the strategic and tactical levels is to aid in decision making and, on the ...
Este livro foi elaborado para ser facilmente entendido por iniciantes. Escrito de forma direta, a linguagem matemática precisa é usada sem formalismo e abstração excessivos. Os conceitos e técnicas da matemática discreta, até chegar à lógica booleana, teoria dos grafos e modelagem computacional, demonstrados de forma eficiente, fornecem todos os fundamentos, sem diluir o conteúdo. Induz os alunos a pensar lógica e matematicamente, sendo uma ferramenta útil aos estudos futuros, especialmente para aqueles que continuarem na ciência da computação, matemática aplicada e engenharia. Demonstra a relevância e a praticidade da matemática discreta para uma variedade de aplicações no mundo real, de ciência da computação a redes de dados, psicologia, química, engenharia, lingüística, biologia, negócios e muitos outros campos.
Este livro foi elaborado para ser facilmente entendido por iniciantes.
Discusses running DOS under UNIX, connectivity with other systems, system security, and more
Discusses running DOS under UNIX, connectivity with other systems, system security, and more
