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In branch-and-bound approaches to discrete optimization problems the calculation of lower bounds often assumes certain relations about the behaviour of unassigned variables. Consideration of such behaviour can allow constraints to be imposed upon the space still to be examined with the effect that the performance of the search can be improved. A job-shop scheduling problem is considered here in order to illustrate a potential curtailment of the 'combinatorial explosion' so frequently encountered with such problems.
Author(s): Waller L
Series Editor(s): Shaw B
Publication type: Report
Publication status: Published
Series Title: Computing Laboratory Technical Report Series
Year: 1973
Pages: 15
Print publication date: 01/05/1973
Source Publication Date: May 1973
Report Number: 48
Institution: Computing Laboratory, The University of Newcastle upon Tyne
Place Published: Newcastle upon Tyne