Geodesic
Scheduling unit-time jobs on parallel processors polytope
Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 1, pp. 85-97

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The polytope of scheduling unit-time jobs on identical parallel machines is studied. In addition, we consider LP relaxation and describe the class supporting inequalities for this polytope. We claim that obtained inequalities can be used as cutting planes for integer programming. We discuss the identification problem of these inequalities for the given nonintegral point. Il. 1, tabl. 1, bibliogr. 5.
Keywords: scheduling problems, precedence, integer programming, polytope, supporting inequality. 
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R. Yu. Simanchev; I. V. Urazova. Scheduling unit-time jobs on parallel processors polytope. Diskretnyj analiz i issledovanie operacij, Tome 18 (2011) no. 1, pp. 85-97. http://geodesic.mathdoc.fr/item/DA_2011_18_1_a8/