Some basics on tolerances
AbstractIn this note we deal with sensitivity analysis of combinatorial optimization problems and its fundamental term, the tolerance. For three classes of objective functions (?, ?, MAX) we prove some basic properties on upper and lower tolerances. We show that the upper tolerance of an element is well defined, how to compute the upper tolerance of an element, and give equivalent formulations when the upper tolerance is +? or > 0. Analogous results are proven for the lower tolerance and some results on the relationship between lower and upper tolerances are given.
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Bibliographic InfoPaper provided by University of Groningen, Research Institute SOM (Systems, Organisations and Management) in its series Research Report with number 05A13.
Date of creation: 2005
Date of revision:
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-01-29 (All new papers)
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- Hoesel, Stan van & Wagelmans, Albert, 1999. "On the complexity of postoptimality analysis of 0/1 programs," Open Access publications from Maastricht University urn:nbn:nl:ui:27-3980, Maastricht University.
- Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
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