The structure of assignment, precedence, and resource constraintsin the ILP approach to the scheduling problem
Chaudhuri, S.
Walker, R.A.
Mitchell, J.
Rensselaer Polytech. Inst., Troy, NY;
Abstract
Presents a general treatment of the combinatorial approach to the
scheduling problem, enhancing previous formulations in the literature.
The focus of this paper is a formal analysis of the integer linear
programming (ILP) approach, which we use to evaluate the structure of
our formulation. Polyhedral theory and duality theory are used to
demonstrate that efficient solutions of the scheduling problem can be
expected from a carefully formulated integer linear program.
Furthermore, we use the theory of valid inequalities to tighten the
constraints and make the formulation more efficient
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