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DISOPT
2011
176views Education» more  DISOPT 2011»
12 years 8 months ago
Valid inequalities and branch-and-cut for the clique pricing problem
Motivated by an application in highway pricing, we consider the problem that consists in setting profit-maximizing tolls on a clique subset of a multicommodity transportation net...
Géraldine Heilporn, Martine Labbé, P...
DISOPT
2011
175views Education» more  DISOPT 2011»
12 years 8 months ago
Strengthening lattice-free cuts using non-negativity
In recent years there has been growing interest in generating valid inequalities for mixedinteger programs using sets with 2 or more constraints. In particular, Andersen et al. (2...
Ricardo Fukasawa, Oktay Günlük
MP
2011
12 years 12 months ago
Lifting for conic mixed-integer programming
Lifting is a procedure for deriving valid inequalities for mixed-integer sets from valid inequalities for suitable restrictions of those sets. Lifting has been shown to be very e...
Alper Atamtürk, Vishnu Narayanan
IOR
2010
86views more  IOR 2010»
13 years 3 months ago
Disjunctive Decomposition for Two-Stage Stochastic Mixed-Binary Programs with Random Recourse
This paper introduces disjunctive decomposition for two-stage mixed 0-1 stochastic integer programs (SIPs) with random recourse. Disjunctive decomposition allows for cutting plane...
Lewis Ntaimo
MP
2007
97views more  MP 2007»
13 years 4 months ago
On the domino-parity inequalities for the STSP
Abstract One method which has been used very successfully for finding optimal and provably good solutions for large instances of the Symmetric Travelling Salesman Problem (STSP) i...
Sylvia C. Boyd, Sally Cockburn, Danielle Vella
EOR
2000
74views more  EOR 2000»
13 years 4 months ago
On the capacitated lot-sizing and continuous 0-1 knapsack polyhedra
We consider the single itemcapacitated lot{sizingproblem, a well-known productionplanningmodelthat often arises in practical applications, and derive new classes of valid inequali...
Andrew J. Miller, George L. Nemhauser, Martin W. P...
MP
2006
88views more  MP 2006»
13 years 5 months ago
Two-edge connected subgraphs with bounded rings: Polyhedral results and Branch-and-Cut
Abstract. We consider the network design problem which consists in determining at minimum cost a 2-edge connected network such that the shortest cycle (a "ring") to which...
Bernard Fortz, Ali Ridha Mahjoub, S. Thomas McCorm...
DISOPT
2007
109views more  DISOPT 2007»
13 years 5 months ago
Sequential pairing of mixed integer inequalities
We present a scheme for generating new valid inequalities for mixed integer programs by taking pairwise combinations of existing valid inequalities. Our scheme is related to mixed...
Yongpei Guan, Shabbir Ahmed, George L. Nemhauser
ANOR
2006
133views more  ANOR 2006»
13 years 5 months ago
An integrated model for logistics network design
In this paper we introduce a new formulation of the logistics network design problem encountered in deterministic, single-country, single-period contexts. Our formulation is flexi...
Jean-François Cordeau, Federico Pasin, Mari...
ANOR
2007
126views more  ANOR 2007»
13 years 5 months ago
Lifting, superadditivity, mixed integer rounding and single node flow sets revisited
In this survey we attempt to give a unified presentation of a variety of results on the lifting of valid inequalities, as well as a standard procedure combining mixed integer roun...
Quentin Louveaux, Laurence A. Wolsey