Aggregation of constraints in integer programming
β Scribed by Balasubramanian Ram; Mark H. Karwan; A.J.G. Babu
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 783 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0377-2217
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π SIMILAR VOLUMES
In a covering integer program (CIP), we seek an n-vector x of nonnegative integers, which minimizes c T β’ x, subject to Ax ΒΏ b, where all entries of A; b; c are nonnegative. In their most general form, CIPs include also multiplicity constraints of the type x 6 d, i.e., arbitrarily large integers are
The splitting of variables in an integer programming model into the sum of other variables can allow the constraints to be disaggregated, leading to a more constrained (tighter) linear programming relaxation. Well known examples of such reformulations are quoted from the literature. They can be view
## Abstract This paper presents a mixed integer programming (MIP) formulation for robust topology optimization of trusses subjected to the stress constraints under the uncertain load. A designβdependent uncertainty model of the external load is proposed for dealing with the variation of truss topol
Generalised Assignment Problems (GAP), traditionally solved by Integer Programming techniques, are addressed in the light of current Constraint Programming methods. A scheduling application from manufacturing, based on a modified GAP, is used to examine the performance of each technique under a vari