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Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/5486
Title: Single machine scheduling with precedence constraints of dimension 2
Authors: Steiner, George
McMaster University, Faculty of Business
Keywords: Business;Business
Publication Date: Jun-1982
Series/Report no.: Research and working paper series (McMaster University. Faculty of Business)
no. 188
Abstract: <p>Consider the set of tasks that are partiallv ordered by precedence constraints. The tasks are to be sequenced so that a given objective function will assume its optimal value over the set of feasible solutions. A subset of tasks is called feasible, if for every task in the subset, all of its predecessors are also in the subset. We present an efficient dynamic proqramminq solution to the problem, when the constraining Partial order has a dimension < 2. This is done by defining a "compact" labelinq scheme and a very efficient enumerative procedure for all the feasible subsets. In this process a new characterization is qiven for 2-dimensional partial orders.</p>
Description: <p>21, 5 leaves : ; Includes bibliographical references (leaf [22]). ; "June, 1982."</p>
URI: http://hdl.handle.net/11375/5486
Identifier: dsb/145
1144
4944168
Appears in Collections:DeGroote School of Business Working Paper Series

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