Dual integer linear programs and the relationship between their optima

Authors:
R Aharoni;P Erdös;N Linial
Affiliations:
The Technion, Haifa, Israel;Hungarian Academy of Sciences;Hebrew University, Jerusalem, Israel
Venue:
STOC '85 Proceedings of the seventeenth annual ACM symposium on Theory of computing
Year:
1985

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Approximation algorithms for scheduling unrelated parallel machines

SFCS '87 Proceedings of the 28th Annual Symposium on Foundations of Computer Science

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Abstract

We consider dual pairs of packing and covering integer linear programs. Best possible bounds are found between their optimal values. Tight inequalities are obtained relating the integral optima and the optimal rational solutions.