書目名稱 | Hamiltonian Cycle Problem and Markov Chains |
編輯 | Vivek S. Borkar,Vladimir Ejov,Giang T. Nguyen |
視頻video | http://file.papertrans.cn/421/420629/420629.mp4 |
概述 | Concise, readable synthesis of important yet scattered research to date.Discusses problems yet to be fully solved.Provides many examples not supplied in original studies.Includes supplementary materia |
叢書名稱 | International Series in Operations Research & Management Science |
圖書封面 |  |
描述 | .This research monograph summarizes a line of research that maps?certain classical problems of discrete mathematics and operations?research - such as the Hamiltonian Cycle and the Travelling Salesman?Problems - into convex domains where continuum analysis can be carried?out. Arguably, the inherent difficulty of these, now classical,?problems stems precisely from the discrete nature of domains in which?these problems are posed. The convexification of domains underpinning?these results is achieved by assigning probabilistic interpretation to?key elements of the original deterministic problems. In particular,?the approaches summarized here build on a technique that embeds?Hamiltonian Cycle and Travelling Salesman Problems in a structured?singularly perturbed Markov decision process. The unifying idea is to?interpret subgraphs traced out by deterministic policies (including?Hamiltonian cycles, if any) as extreme points of a convex polyhedron in a space filled with randomized policies..The above innovative approach has now evolved to the point where there?are many, both theoretical and algorithmic, results that exploit the?nexus between graph theoretic structures and both probabilistic |
出版日期 | Book 2012 |
關(guān)鍵詞 | Combinatorial Optimization; Graphing; Hamiltonian Cycle Problem; Markov Chains; Mathematical Programming |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-3232-6 |
isbn_softcover | 978-1-4899-9227-7 |
isbn_ebook | 978-1-4614-3232-6Series ISSN 0884-8289 Series E-ISSN 2214-7934 |
issn_series | 0884-8289 |
copyright | Springer Science+Business Media, LLC 2012 |