Some Problems in Linear Graph Theory That Arise in the Analysis of the Sequencing of Jobs Through Machines

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"The problems of sequencing jobs through machines are discussed in a linear graph framework. The construction of feasible schedules from given technological orderings is related to the construction of transitive graphs from given component graphs. Methods of constructing transitive graphs are given and bounds on the number of different transitive graphs constructed from given components are determined. A recursive convex function defined on the transitive graphs-the job operation completion time and schedule time-is studied. Bounds on the number of different values that the schedule time can attain is obtained. Examples of multiprogramming, flow shop and machine shop scheduling are studied."

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43 pages : illustrations

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Heller, Jack October 15, 1960.

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"The problems of sequencing jobs through machines are discussed in a linear graph framework. The construction of feasible schedules from given technological orderings is related to the construction of transitive graphs from given component graphs. Methods of constructing transitive graphs are given and bounds on the number of different transitive graphs constructed from given components are determined. A recursive convex function defined on the transitive graphs-the job operation completion time and schedule time-is studied. Bounds on the number of different values that the schedule time can attain is obtained. Examples of multiprogramming, flow shop and machine shop scheduling are studied."

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43 pages : illustrations

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Digitized from microopaque cards (2).

Includes bibliographical references (page 36)

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  • OCLC: #
  • SuDoc Number: Y 3.At 7:22/NYO-9487
  • Report No.: NYO-9487
  • Accession or Local Control No: metadc1463615
  • Archival Resource Key: ark:/67531/metadc1463615

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  • October 15, 1960

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  • Sept. 2, 2021, 4:31 p.m.

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  • Aug. 7, 2023, 4:50 p.m.

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Heller, Jack. Some Problems in Linear Graph Theory That Arise in the Analysis of the Sequencing of Jobs Through Machines, report, October 15, 1960; Washington D.C.. (https://digital.library.unt.edu/ark:/67531/metadc1463615/: accessed September 7, 2026), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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