# Separable convexification and DCA techniques for capacity and flow assignment problems

P. Mahey; Thai Q. Phong; H. P. L. Luna

RAIRO - Operations Research - Recherche Opérationnelle (2001)

- Volume: 35, Issue: 2, page 269-281
- ISSN: 0399-0559

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topMahey, P., Phong, Thai Q., and Luna, H. P. L.. "Separable convexification and DCA techniques for capacity and flow assignment problems." RAIRO - Operations Research - Recherche Opérationnelle 35.2 (2001): 269-281. <http://eudml.org/doc/105246>.

@article{Mahey2001,

abstract = {We study a continuous version of the capacity and flow assignment problem (CFA) where the design cost is combined with an average delay measure to yield a non convex objective function coupled with multicommodity flow constraints. A separable convexification of each arc cost function is proposed to obtain approximate feasible solutions within easily computable gaps from optimality. On the other hand, DC (difference of convex functions) programming can be used to compute accurate upper bounds and reduce the gap. The technique is shown to be effective when topology is assumed fixed and capacity expansion on some arcs is considered.},

author = {Mahey, P., Phong, Thai Q., Luna, H. P. L.},

journal = {RAIRO - Operations Research - Recherche Opérationnelle},

keywords = {network design; DC optimization; capacity and flow assignment},

language = {eng},

number = {2},

pages = {269-281},

publisher = {EDP-Sciences},

title = {Separable convexification and DCA techniques for capacity and flow assignment problems},

url = {http://eudml.org/doc/105246},

volume = {35},

year = {2001},

}

TY - JOUR

AU - Mahey, P.

AU - Phong, Thai Q.

AU - Luna, H. P. L.

TI - Separable convexification and DCA techniques for capacity and flow assignment problems

JO - RAIRO - Operations Research - Recherche Opérationnelle

PY - 2001

PB - EDP-Sciences

VL - 35

IS - 2

SP - 269

EP - 281

AB - We study a continuous version of the capacity and flow assignment problem (CFA) where the design cost is combined with an average delay measure to yield a non convex objective function coupled with multicommodity flow constraints. A separable convexification of each arc cost function is proposed to obtain approximate feasible solutions within easily computable gaps from optimality. On the other hand, DC (difference of convex functions) programming can be used to compute accurate upper bounds and reduce the gap. The technique is shown to be effective when topology is assumed fixed and capacity expansion on some arcs is considered.

LA - eng

KW - network design; DC optimization; capacity and flow assignment

UR - http://eudml.org/doc/105246

ER -

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