A linear pseudo-Boolean constraint (LPB) is an expression of the form a1 · 1 + . . . + am · m ≥ d, where each i is a literal (it assumes the value 1 or 0 depending on whether a...
Abstract. This article first introduces an extension of the classical cumulative constraint: each task is no more a rectangle but rather a sequence of contiguous trapezoid sub-tas...
In a facility with front room and back room operations, it is useful to switch workers between the rooms in order to cope with changing customer demand. Assuming stochastic custome...
Given a directed graph G, the K node-disjoint paths problem consists in finding a partition of G into K node-disjoint paths, such that each path ends up in a given subset of nodes...
Many optimisation problems contain substructures involving constraints on sequences of decision variables. Such constraints can be very complex to express with mixed integer progra...
Abstract. AND/OR search spaces are a unifying paradigm for advanced algorithmic schemes for graphical models. The main virtue of this representation is its sensitivity to the struc...
Abstract. We propose generalizations of the Global Cardinality Constraint (gcc) in which a partition of the variables is given. In the context of resource allocation problems, such...
The Open-Shop Problem is a hard problem that can be solved using Constraint Programming or Operation Research methods. Existing techniques are efficient at reducing the search tree...
This paper introduces DEVIATION, a soft global constraint to obtain balanced solutions. A violation measure of the perfect balance can be defined as the Lp norm of the vector vari...
Pierre Schaus, Yves Deville, Pierre Dupont, Jean-C...
Abstract. In recent work binary decision diagrams (BDDs) were introduced as a technique for postoptimality analysis for integer programming. In this paper we show that much smaller...