Given a square matrix T of order n, with non negative entries t_ij, the cardinality constrained SSTDMA problem asks for a decomposition of T into a set S={T1,T2,...,Tk} of Latin matrices such that at most L < n elements are present in each matrix of S and the summation of the largest elements in each matrix is minimized. We present some new results on solving the problem via column generation techniques. Computational experiments compare the performances of the proposed approach with those contained in the work [1]. References [1] M.Dell'Amico, F.Maffioli, M.Trubian, New Bounds for Optimum Traffic Assignment in Satellite Communication, Computers Ops. Res., Vol.25, 9, 729-743 (1998)

On the cardinality constrained SSTDMA problem / F. Colombo, M. Trubian. ((Intervento presentato al 38. convegno Conferenza annuale AIRO tenutosi a Genova nel 2007.

On the cardinality constrained SSTDMA problem

M. Trubian
Ultimo
2007

Abstract

Given a square matrix T of order n, with non negative entries t_ij, the cardinality constrained SSTDMA problem asks for a decomposition of T into a set S={T1,T2,...,Tk} of Latin matrices such that at most L < n elements are present in each matrix of S and the summation of the largest elements in each matrix is minimized. We present some new results on solving the problem via column generation techniques. Computational experiments compare the performances of the proposed approach with those contained in the work [1]. References [1] M.Dell'Amico, F.Maffioli, M.Trubian, New Bounds for Optimum Traffic Assignment in Satellite Communication, Computers Ops. Res., Vol.25, 9, 729-743 (1998)
English
set-2007
Column generation ; matrix decomposition ; branch and price
Settore MAT/09 - Ricerca Operativa
Presentazione
Intervento inviato
Nessuno
Conferenza annuale AIRO
Genova
2007
38
Associazione Italiana Ricerca Operativa
Convegno nazionale
F. Colombo, M. Trubian
On the cardinality constrained SSTDMA problem / F. Colombo, M. Trubian. ((Intervento presentato al 38. convegno Conferenza annuale AIRO tenutosi a Genova nel 2007.
Prodotti della ricerca::14 - Intervento a convegno non pubblicato
info:eu-repo/semantics/conferenceObject
none
Conference Object
2
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/172272
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