A Tabu Based Pattern Search Method for the Distance Geometry Problem

1998 ◽  
pp. 223-234 ◽  
Author(s):  
Panos M. Pardalos ◽  
Xin Liu
Keyword(s):  
Distance Geometry ◽  
Search Method ◽  
Pattern Search ◽  
Pattern Search Method ◽  
Geometry Problem ◽  
Distance Geometry Problem

Simplified Model for the Activated Sludge System: WWTP Cost Minimization via an Augmented Lagrangian Pattern Search Method

2010 ◽  
Author(s):  
Isabel A. C. P. Espírito Santo ◽  
Edite M. G. P. Fernandes ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Activated Sludge ◽  
Augmented Lagrangian ◽  
Cost Minimization ◽  
Search Method ◽  
Pattern Search ◽  
Simplified Model ◽  
Pattern Search Method ◽  
Activated Sludge System

A NOTE ON COMPUTING THE INTERSECTION OF SPHERES IN

2017 ◽  
Vol 59 (2) ◽  
pp. 271-279 ◽  
Author(s):  
D. S. MAIOLI ◽  
C. LAVOR ◽  
D. S. GONÇALVES
Keyword(s):  
Multidimensional Scaling ◽  
Distance Geometry ◽  
Qr Decomposition ◽  
Interesting Problem ◽  
Global Positioning Systems ◽  
Positioning Systems ◽  
Global Positioning ◽  
Interval Distance ◽  
Geometry Problem ◽  
Distance Geometry Problem

Finding the intersection of $n$-dimensional spheres in $\mathbb{R}^{n}$ is an interesting problem with applications in trilateration, global positioning systems, multidimensional scaling and distance geometry. In this paper, we generalize some known results on finding the intersection of spheres, based on QR decomposition. Our main result describes the intersection of any number of $n$-dimensional spheres without the assumption that the centres of the spheres are affinely independent. A possible application in the interval distance geometry problem is also briefly discussed.

A constrained interval approach to the generalized distance geometry problem

2018 ◽  
Vol 14 (2) ◽  
pp. 483-492
Author(s):  
Luiz Leduino de Salles Neto ◽  
Carlile Lavor ◽  
Weldon Lodwick
Keyword(s):  
Distance Geometry ◽  
Interval Approach ◽  
Geometry Problem ◽  
Distance Geometry Problem ◽  
Generalized Distance
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