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Quick eVALUATION OF THE INTERVAL STABILITY OF THE LINEAR ASSIGNMENT problem SOLUTIONS

Abstract

An efficient algorithm for evaluating the interval of solutions stability of opened and closed linear assignment problems based on a review of the results of optimization iterations is proposed. Economical one-step transition to the nearest vertex of the polytope of problem one for all the edges of the optimal perfect matching is almost an order of magnitude reduces the computational complexity of evaluating the stability of the current optimal solution.

About the Authors

M. P. Revotjuk
Белорусский государственный университет информатики и радиоэлектроники
Belarus


M. K. Qaraleh
Белорусский государственный университет информатики и радиоэлектроники
Belarus


P. M. Batura
Белорусский государственный университет информатики и радиоэлектроники
Belarus


References

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2. Bijsterbosch J., Volgenant A. // Annals of Operations Research. 2010. № 181 (1). P. 443-462.

3. Lantao Liu, Dylan A. Shell. // The International Journal of Robotics Research. 2011. № 30 (7). P. 936-953.

4. Ревотюк М.П., Батура П.М., Полоневич А.М. // Докл. БГУИР. 2011. № 1 (55). C. 55-62.


Review

For citations:


Revotjuk M.P., Qaraleh M.K., Batura P.M. Quick eVALUATION OF THE INTERVAL STABILITY OF THE LINEAR ASSIGNMENT problem SOLUTIONS. Doklady BGUIR. 2013;(5):30-36. (In Russ.)

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ISSN 1729-7648 (Print)
ISSN 2708-0382 (Online)