The Structure of Assignment, Precedence, and Resource Constraints in the ILP Approach to the Scheduling Problem
نویسندگان
چکیده
This paper 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 ILP approach, which we use to evaluate the structure of our formulation. Polyhedral theory and duality theory are used to demonstrate that e cient solutions of the scheduling problem can be expected from a carefully formulated integer linear program (ILP). Furthermore, we use the theory of valid inequalities to tighten the constraints and make the formulation more e cient.
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