Estimating the Stability Radius of an Optimal Solution to the Simple Assembly Line Balancing Problem

The simple assembly line balancing problem (SALBP) is considered. We describe the special class of problems with an infinitely large stability radius of the optimal balance. For other tasks we received the lower and the upper reachable estimates of the stability radius of optimal balances in the cas...

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Bibliographic Details
Published in:Journal of applied and industrial mathematics 2019-04, Vol.13 (2), p.250-260
Main Authors: Kuzmin, K. G., Haritonova, V. R.
Format: Article
Language:English
Subjects:
Assembly lines
Balancing
Mathematics
Mathematics and Statistics
Perturbation
Stability
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Summary:The simple assembly line balancing problem (SALBP) is considered. We describe the special class of problems with an infinitely large stability radius of the optimal balance. For other tasks we received the lower and the upper reachable estimates of the stability radius of optimal balances in the case of an independent perturbation of the parameters of the problem.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478919020066