Discrete optimization (Record no. 21009)
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| fixed length control field | 07643cam a2200637Ia 4500 |
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| control field | ocn227117250 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172212.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr bn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 080506s2005 ne ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Transcribing agency | UCW |
| Modifying agency | N$T |
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| -- | 75190863 |
| -- | 144220175 |
| -- | 441764166 |
| -- | 505057892 |
| -- | 647545753 |
| -- | 772910106 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444515070 (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444515070 (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0080459218 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080459219 (electronic bk.) |
| 024 3# - OTHER STANDARD IDENTIFIER | |
| Canceled/invalid standard number or code | 9780444515070 |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 14675976 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBSZ |
| System control number | 414263243 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)227117250 |
| Canceled/invalid control number | (OCoLC)75190863 |
| -- | (OCoLC)144220175 |
| -- | (OCoLC)441764166 |
| -- | (OCoLC)505057892 |
| -- | (OCoLC)647545753 |
| -- | (OCoLC)772910106 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 042000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.6 |
| Edition number | 22 |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (OCLC) | |
| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) | QA402.5 |
| Local cutter number (OCLC) ; Book number/undivided call number, CALL (RLIN) | .D57 2005a |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | TEFA |
| 245 00 - TITLE STATEMENT | |
| Title | Discrete optimization |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | edited by K. Aardal, G.L. Nemhauser and R. Weismantel. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | Boston : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xi, 607 p.) |
| 490 1# - SERIES STATEMENT | |
| Series statement | Handbooks in operations research and management science, |
| International Standard Serial Number | 0927-0507 ; |
| Volume/sequential designation | v. 12 |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | On the history of combinatorial optimization (till 1960) -- Computational integer programming and cutting planes -- The structure of group relaxations -- Integer programming, lattices, and results in fixed dimension -- Primal integer programming -- Balanced matrices -- Submodular function minimization -- Semidefinite programming and integer programming -- Algorithms for stochastic mixed-integer programming models -- Constraint programming. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The chapters of this Handbook volume covers nine main topics that are representative of recent theoretical and algorithmic developments in the field. In addition to the nine papers that present the state of the art, there is an article on the early history of the field. The handbook will be a useful reference to experts in the field as well as students and others who want to learn about discrete optimization. All of the chapters in this handbook are written by authors who have made significant original contributions to their topics. Herewith a brief introduction to the chapters of the handbook. "On the history of combinatorial optimization (until 1960)" goes back to work of Monge in the 18th century on the assignment problem and presents six problem areas: assignment, transportation, maximum flow, shortest tree, shortest path and traveling salesman. The branch-and-cut algorithm of integer programming is the computational workhorse of discrete optimization. It provides the tools that have been implemented in commercial software such as CPLEX and Xpress MP that make it possible to solve practical problems in supply chain, manufacturing, telecommunications and many other areas. "Computational integer programming and cutting planes" presents the key ingredients of these algorithms. Although branch-and-cut based on linear programming relaxation is the most widely used integer programming algorithm, other approaches are needed to solve instances for which branch-and-cut performs poorly and to understand better the structure of integral polyhedra. The next three chapters discuss alternative approaches. "The structure of group relaxations" studies a family of polyhedra obtained by dropping certain nonnegativity restrictions on integer programming problems. Although integer programming is NP-hard in general, it is polynomially solvable in fixed dimension. "Integer programming, lattices, and results in fixed dimension" presents results in this area including algorithms that use reduced bases of integer lattices that are capable of solving certain classes of integer programs that defy solution by branch-and-cut. Relaxation or dual methods, such as cutting plane algorithms,progressively remove infeasibility while maintaining optimality to the relaxed problem. Such algorithms have the disadvantage of possibly obtaining feasibility only when the algorithm terminates.Primal methods for integer programs, which move from a feasible solution to a better feasible solution, were studied in the 1960's but did not appear to be competitive with dual methods. However,recent development in primal methods presented in "Primal integer programming" indicate that this approach is not just interesting theoretically but may have practical implications as well. The study of matrices that yield integral polyhedra has a long tradition in integer programming. A major breakthrough occurred in the 1990's with the development of polyhedral and structural results and recognition algorithms for balanced matrices. "Balanced matrices" is a tutorial on the subject. Submodular function minimization generalizes some linear combinatorial optimization problems such as minimum cut and is one of the fundamental problems of the field that is solvable in polynomial time. "Submodular function minimization" presents the theory and algorithms of this subject. In the search for tighter relaxations of combinatorial optimization problems, semidefinite programming provides a generalization of linear programming that can give better approximations and is still polynomially solvable. This subject is discussed in "Semidefinite programming and integer programming". Many real world problems have uncertain data that is known only probabilistically. Stochastic programming treats this topic, but until recently it was limited, for computational reasons, to stochastic linear programs. Stochastic integer programming is now a high profile research area and recent developments are presented in "Algorithms for stochastic mixed-integer programming models". Resource constrained scheduling is an example of a class of combinatorial optimization problems that is not naturally formulated with linear constraints so that linear programming based methods do not work well. "Constraint programming" presents an alternative enumerative approach that is complementary to branch-and-cut. Constraint programming,primarily designed for feasibility problems, does not use a relaxation to obtain bounds. Instead nodes of the search tree are pruned by constraint propagation, which tightens bounds on variables until their values are fixed or their domains are shown to be empty. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical optimization. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Integer programming. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Optimization. |
| Source of heading or term | bisacsh |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Optimisation math�ematique. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Programmation en nombres entiers. |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Diskrete Optimierung. |
| Source of heading or term | swd |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Integer programming. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst00975500 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematical optimization. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01012099 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Aardal, K. |
| Fuller form of name | (Karen) |
| Relator code | edt |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nemhauser, George L. |
| Relator code | edt |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Weismantel, Robert. |
| Relator code | edt |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Title | Discrete optimization. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; Boston : Elsevier, 2005 |
| Record control number | (OCoLC)56875489 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Handbooks in operations research and management science ; |
| Volume number/sequential designation | v. 12. |
| International Standard Serial Number | 0927-0507 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444515070">http://www.sciencedirect.com/science/book/9780444515070</a> |
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| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E(electronic)-Books |
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