Matching Problems With Solutions
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A Method For Obtaining All The Solutions Of A Perfect Matching Problem
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Author : Shmuel Gal (Mathematician)
language : en
Publisher:
Release Date : 1974
A Method For Obtaining All The Solutions Of A Perfect Matching Problem written by Shmuel Gal (Mathematician) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Monotonic And Implementable Solutions In Generalized Matching Problems
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Author : L. Ehlers
language : en
Publisher:
Release Date : 2000
Monotonic And Implementable Solutions In Generalized Matching Problems written by L. Ehlers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Finding Optimal Solutions For Covering And Matching Problems
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Author : Hannes Moser
language : en
Publisher:
Release Date : 2010
Finding Optimal Solutions For Covering And Matching Problems written by Hannes Moser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
A Specialised Constraint Approach For Stable Matching Problems
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Author : Chris Unsworth
language : en
Publisher:
Release Date : 2008
A Specialised Constraint Approach For Stable Matching Problems written by Chris Unsworth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Constraint programming is a generalised framework designed to solve combinatorial problems. This framework is made up of a set of predefined independent components and generalised algorithms. This is a very versatile structure which allows for a variety of rich combinatorial problems to be represented and solved relatively easily. Stable matching problems consist of a set of participants wishing to be matched into pairs or groups in a stable manner. A matching is said to be stable if there is no pair or group of participants that would rather make a private arrangement to improve their situation and thus undermine the matching. There are many important 'real life' applications of stable matching problems across the world. Some of which includes the Hospitals/Residents problem in which a set of graduating medical students, also known as residents, need to be assigned to hospital posts. Some authorities assign children to schools as a stable matching problem. Many other such problems are also tackled as stable matching problems. A number of classical stable matching problems have efficient specialised algorithmic solutions. Constraint programming solutions to stable matching problems have been investigated in the past. These solutions have been able to match the theoretically optimal time complexities of the algorithmic solutions. However, empirical evidence has shown that in reality these constraint solutions run significantly slower than the specialised algorithmic solutions. Furthermore, their memory requirements prohibit them from solving problems which the specialised algorithmic solutions can solve in a fraction of a second. My contribution investigates the possibility of modelling stable matching problems as specialised constraints. The motivation behind this approach was to find solutions to these problems which maintain the versatility of the constraint solutions, whilst significantly reducing the performance gap between constraint and specialised algorithmic solutions. To this end specialised constraint solutions have been developed for the stable marriage problem and the Hospitals/Residents problem. Empirical evidence has been presented which shows that these solutions can solve significantly larger problems than previously published constraint solutions. For these larger problem instances it was seen that the specialised constraint solutions came within a factor of four of the time required by algorithmic solutions. It has also been shown that, through further specialisation, these constraint solutions can be made to run significantly faster. However, these improvements came at the cost of versatility. As a demonstration of the versatility of these solutions it is shown that, by adding simple side constraints, richer problems can be easily modelled. These richer problems add additional criteria and/or an optimisation requirement to the original stable matching problems. Many of these problems have been proven to be NP-Hard and some have no known algorithmic solutions. Included with these models are results from empirical studies which show that these are indeed feasible solutions to the richer problems. Results from the studies also provide some insight into the structure of these problems, some of which have had little or no previous study.
Solutions To The Implied Matching Problem
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Author : Jonathan Richard Scally
language : en
Publisher:
Release Date : 2013
Solutions To The Implied Matching Problem written by Jonathan Richard Scally and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Fifty Challenging Problems In Probability With Solutions
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Author : Frederick Mosteller
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Fifty Challenging Problems In Probability With Solutions written by Frederick Mosteller and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.
Best Matching Theory Applications
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Author : Mohsen Moghaddam
language : en
Publisher: Springer
Release Date : 2016-10-26
Best Matching Theory Applications written by Mohsen Moghaddam and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-26 with Technology & Engineering categories.
Mismatch or best match? This book demonstrates that best matching of individual entities to each other is essential to ensure smooth conduct and successful competitiveness in any distributed system, natural and artificial. Interactions must be optimized through best matching in planning and scheduling, enterprise network design, transportation and construction planning, recruitment, problem solving, selective assembly, team formation, sensor network design, and more. Fundamentals of best matching in distributed and collaborative systems are explained by providing: § Methodical analysis of various multidimensional best matching processes § Comprehensive taxonomy, comparing different best matching problems and processes § Systematic identification of systems’ hierarchy, nature of interactions, and distribution of decision-making and control functions § Practical formulation of solutions based on a library of best matching algorithms and protocols, ready for direct applications and apps development. Designed for both academics and practitioners, oriented to systems engineers and applied operations researchers, diverse types of best matching processes are explained in production, manufacturing, business and service, based on a new reference model developed at Purdue University PRISM Center: “The PRISM Taxonomy of Best Matching”. The book concludes with major challenges and guidelines for future basic and applied research in the area of best matching.
Implementation In Generalized Matching Problems
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Author : Tayfun Sönmez
language : en
Publisher:
Release Date : 1995
Implementation In Generalized Matching Problems written by Tayfun Sönmez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Matching theory categories.
Strategy Proofness And Singleton Cores In Generalized Matching Problems
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Author : Tayfun Sönmez
language : en
Publisher:
Release Date : 1995
Strategy Proofness And Singleton Cores In Generalized Matching Problems written by Tayfun Sönmez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Matching theory categories.
On Stable Solutions Of One And Two Sided Model Matching Problems
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Author : Zhiqiang Gao
language : en
Publisher:
Release Date : 1988
On Stable Solutions Of One And Two Sided Model Matching Problems written by Zhiqiang Gao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Control theory categories.