Resource Allocation Problems Algorithmic Approaches by T. Ibaraki and N. Katoh

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Subject Area
Resource Allocation
Book title
Resource Allocation Problems Algorithmic Approaches Foundations
Educational Level
Adult & Further Education
Subject
Computer Science
Level
Technical
ISBN
9780262090278
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Product Identifiers

Publisher
MIT Press
ISBN-10
0262090279
ISBN-13
9780262090278
eBay Product ID (ePID)
105429

Product Key Features

Number of Pages
246 Pages
Publication Name
Resource Allocation Problems : Algorithmic Approaches
Language
English
Publication Year
1988
Subject
Computer Science, Algebra / General
Type
Textbook
Subject Area
Mathematics, Computers
Author
Toshihide Ibaraki, Naoki Katoh
Series
Foundations of Computing Ser.
Format
Hardcover

Dimensions

Item Height
0.8 in
Item Weight
22.9 Oz
Item Length
9.3 in
Item Width
7.2 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
87-015152
Dewey Edition
19
Illustrated
Yes
Dewey Decimal
519.7/7
Synopsis
This book addresses a theoretical problem encountered in a variety of areas in operations research and management science, including load distribution, production planning, computer scheduling, portfolio selection, and apportionment. It is a timely and comprehensive summary of the past thirty years of research on algorithmic aspects of the resource allocation problem and its variants, covering Lagrangean multiplier method, dynamic programming, greedy algorithms, and their generalizations. Modern data structures are used to analyze the computational complexity of each algorithm. The resource allocation problem the authors take up is an optimization problem with a single simple constraint: it determines the allocation of a fixed amount of resources to a given number of activities in order to achieve the most effective results. It may be viewed as a special case of the nonlinear programming or nonlinear integer programming problem. Contents: Introduction. Resource Allocation with Continuous Variables. Resource Allocation with Integer Variables. Minimizing a Convex Separable Function. Minimax and Maximin Resource Allocation Problems. Fair Resource Allocation Problem. Apportionment Problem. Fundamentals of Submodular Systems. Resource Allocation Problems under Submodular Constraints. Further Topics on Resource Allocation Problems. Appendixes: Algorithms and Complexity. NP-completeness and NP-hardness. Toshihide lbaraki is Professor in the Department of Applied Mathematics and Physics at Kyoto University and Naoki Katoh is Associate Professor in the Department of Management Science at Kobe University of Commerce. Resource Allocation Problemsis included in the Foundations of Computing Series edited by Michael Garey and Albert Meyer., This book addresses a theoretical problem encountered in a variety of areas in operations research and management science, including load distribution, production planning, computer scheduling, portfolio selection, and apportionment.
LC Classification Number
QA402.5.I16 1988

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