| Document Type
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BL
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| Record Number
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865435
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| Main Entry
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Gusmeroli, Nicoló
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| Title & Author
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Machine scheduling to minimize weighted completion times : : the use of the [alpha]-point /\ Nicoló Gusmeroli.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2018]
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| Series Statement
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SpringerBriefs in mathematics
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| Page. NO
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1 online resource (xi, 53 pages) :: color illustrations
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| ISBN
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3319775286
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: 9783319775289
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9783319775272
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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1 Introduction -- 2 List of Main Results -- 3 LP Relaxations for the Release Dates Case -- 4 Conversion Algorithm -- 5 Approximations for 1.
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| Abstract
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This work reviews the most important results regarding the use of the [alpha]-point in Scheduling Theory. It provides a number of different LP-relaxations for scheduling problems and seeks to explain their polyhedral consequences. It also explains the concept of the [alpha]-point and how the conversion algorithm works, pointing out the relations to the sum of the weighted completion times. Lastly, the book explores the latest techniques used for many scheduling problems with different constraints, such as release dates, precedences, and parallel machines. This reference book is intended for advanced undergraduate and postgraduate students who are interested in scheduling theory. It is also inspiring for researchers wanting to learn about sophisticated techniques and open problems of the field.
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Algorithms.
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Computer science-- Mathematics.
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Engineering mathematics.
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Management science.
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Mathematical optimization.
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Operations research.
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Polytopes.
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Scheduling.
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Algorithms.
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Applied mathematics.
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BUSINESS ECONOMICS-- Industrial Management.
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BUSINESS ECONOMICS-- Management Science.
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| Subject
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BUSINESS ECONOMICS-- Management.
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BUSINESS ECONOMICS-- Organizational Behavior.
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| Subject
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Computer science-- Mathematics.
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| Subject
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Discrete mathematics.
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Engineering mathematics.
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| Subject
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Geometry.
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Management science.
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Mathematical optimization.
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Numerical analysis.
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| Subject
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Operational research.
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| Subject
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Operations research.
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| Subject
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Optimization.
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| Subject
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Polytopes.
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| Subject
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Scheduling.
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| Dewey Classification
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658.4/034
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| LC Classification
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T57.6.G87 2018
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