Assignment Problems, Revised Reprint - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Assignment Problems, Revised Reprint write by Rainer Burkard. This book was released on 2012-10-31. Assignment Problems, Revised Reprint available in PDF, EPUB and Kindle. Assignment Problems is a useful tool for researchers, practitioners and graduate students. In 10 self-contained chapters, it provides a comprehensive treatment of assignment problems from their conceptual beginnings through present-day theoretical, algorithmic and practical developments. The topics covered include bipartite matching algorithms, linear assignment problems, quadratic assignment problems, multi-index assignment problems and many variations of these. Researchers will benefit from the detailed exposition of theory and algorithms related to assignment problems, including the basic linear sum assignment problem and its variations. Practitioners will learn about practical applications of the methods, the performance of exact and heuristic algorithms, and software options. This book also can serve as a text for advanced courses in areas related to discrete mathematics and combinatorial optimisation. The revised reprint provides details on a recent discovery related to one of Jacobi's results, new material on inverse assignment problems and quadratic assignment problems, and an updated bibliography.
Assignment Problems
Assignment Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Assignment Problems write by Rainer Burkard. This book was released on 2012. Assignment Problems available in PDF, EPUB and Kindle.
The Quadratic Assignment Problem
The Quadratic Assignment Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Quadratic Assignment Problem write by E. Cela. This book was released on 2013-03-14. The Quadratic Assignment Problem available in PDF, EPUB and Kindle. The quadratic assignment problem (QAP) was introduced in 1957 by Koopmans and Beckmann to model a plant location problem. Since then the QAP has been object of numerous investigations by mathematicians, computers scientists, ope- tions researchers and practitioners. Nowadays the QAP is widely considered as a classical combinatorial optimization problem which is (still) attractive from many points of view. In our opinion there are at last three main reasons which make the QAP a popular problem in combinatorial optimization. First, the number of re- life problems which are mathematically modeled by QAPs has been continuously increasing and the variety of the fields they belong to is astonishing. To recall just a restricted number among the applications of the QAP let us mention placement problems, scheduling, manufacturing, VLSI design, statistical data analysis, and parallel and distributed computing. Secondly, a number of other well known c- binatorial optimization problems can be formulated as QAPs. Typical examples are the traveling salesman problem and a large number of optimization problems in graphs such as the maximum clique problem, the graph partitioning problem and the minimum feedback arc set problem. Finally, from a computational point of view the QAP is a very difficult problem. The QAP is not only NP-hard and - hard to approximate, but it is also practically intractable: it is generally considered as impossible to solve (to optimality) QAP instances of size larger than 20 within reasonable time limits.
Handbook of Combinatorial Optimization
Handbook of Combinatorial Optimization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Combinatorial Optimization write by Ding-Zhu Du. This book was released on 2006-08-18. Handbook of Combinatorial Optimization available in PDF, EPUB and Kindle. This is a supplementary volume to the major three-volume Handbook of Combinatorial Optimization set. It can also be regarded as a stand-alone volume presenting chapters dealing with various aspects of the subject in a self-contained way.
Mean Assignment Method
Mean Assignment Method - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mean Assignment Method write by Lawrence Ezekiel. This book was released on 2020-05. Mean Assignment Method available in PDF, EPUB and Kindle. This book discussed a new approach for solving assignment problems alongside the existing classical Hungarian method and the revised ones assignment method. The new approach is called mean assignment method (MAM). It consist of three steps and uses the concept of mean and mean deviation. The mean gives the mid-point for each row. The farther the costs ( are from the mean, the higher their suitability for assignment. Furthermore, a comparative analysis was carried out to compare existing classical Hungarian method and the revised ones assignment method with the newly introduced method (mean assignment method) in terms of computation time and also to determine which method arrives at optimal solution quicker. Findings showed that the classical Hungarian method and the mean assignment method produced the optimum (minimum total cost) assignment. In addition, the mean assignment method saves computation time with just three steps of algorithm while the other two methods (Hungarian method and revised ones assignment method) take more computation time.
