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Abstract
We consider a constrained minimax single facility location problem on the plane with rectilinear distance. The feasible set of location points is restricted to rectangles with sides oriented at a 45 degrees angle to the axes of Cartesian coordinates. To solve the problem, an algebraic approach based on an extremal property of eigenvalues of irreducible matrices in idempotent algebra is applied. A new algebraic solution is given that reduces the problem to finding eigenvalues and eigenvectors of appropriately defined matrices.
Original language  English 

Title of host publication  2011 International Conference on Multimedia Technology (ICMT 2011), Volume 7, July 2628, 2011, Hangzhou, China, IEEE Proceedings 
Publisher  Institute of Electrical and Electronics Engineers Inc. 
Pages  6716 стр., 62166220 
ISBN (Print)  9781612847733 
DOIs  
Publication status  Published  2011 
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Activities

2nd International Conference on Multimedia Technology
Николай Кимович Кривулин (Participant)
26 Jul 2011 → 28 Jul 2011Activity

Algebraic solution to a constrained rectilinear minimax location problem on the plane
Николай Кимович Кривулин (Speaker)
27 Jul 2011Activity