Fixed interval scheduling: Models, applications, computational complexity and algorithms

The defining characteristic of fixed interval scheduling problems is that each job has a finite number of fixed processing intervals. A job can be processed only in one of its intervals on one of the available machines, or is not processed at all. A decision has to be made about a subset of the jobs...

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Bibliographic Details
Published in:European journal of operational research Vol. 178; no. 2; pp. 331 - 342
Main Authors: Kovalyov, Mikhail Y., Ng, C.T., Cheng, T.C. Edwin
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 16.04.2007
Elsevier
Elsevier Sequoia S.A
Series:European Journal of Operational Research
Subjects:
Algorithms
Applied sciences
Discrete starting times
Exact sciences and technology
Graph theory
Interval graph
Interval scheduling
k-coloring
k-track assignment
Maximum weight clique
Maximum weight independent set
Operational research and scientific management
Operational research. Management science
Scheduling algorithms
Scheduling, sequencing
Studies
Interval graph
Maximum weight independent set
Discrete starting times
Maximum weight clique
Interval scheduling
k-track assignment
k-coloring
Resource allocation
Transmission channel
Unloading
Printed circuit board
Scheduling
Graph theory
Bandwidth allocation
Computational complexity
Wiring
Interconnection
Algorithm complexity
Discrete time
Channel allocation
Independent set
Planning
Work planning
ISSN:0377-2217, 1872-6860
Online Access:Get full text
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Summary:The defining characteristic of fixed interval scheduling problems is that each job has a finite number of fixed processing intervals. A job can be processed only in one of its intervals on one of the available machines, or is not processed at all. A decision has to be made about a subset of the jobs to be processed and their assignment to the processing intervals such that the intervals on the same machine do not intersect. These problems arise naturally in different real-life operations planning situations, including the assignment of transports to loading/unloading terminals, work planning for personnel, computer wiring, bandwidth allocation of communication channels, printed circuit board manufacturing, gene identification and examining computer memory structures. We present a general formulation of the interval scheduling problem, show its relations to cognate problems in graph theory, and survey existing models, results on computational complexity and solution algorithms.
Bibliography:SourceType-Scholarly Journals-1
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content type line 14
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2006.01.049