Mixed-Integer
Nonlinear Programming (MINLP): Algorithms for the solution
of Non-Convex MINLP problems. Convexification techniques, upper bounding
methods. Multicommodity Network
design: shared protection constraints, step-wise
node cost functions, uncertainty in the traffic demand, OSPF routing,
multi-layer structure. Bundle methods, Column generation, Cutting
planes, Second-order Cone programming, and Branch&Price
algorithms. Maximum
feasible subsystem (MaxFS): A Thermal Randomized
Relaxation method applied to large, infeasible systems of linear
inequalities. Obnoxious p-median:
Location with a maxi-sum-min cost function. Tabu search and
Branch-and-cut approaches with three families of valid
inequalities.
Publications
Submitted
A. Altin, P. Belotti, and M.Ç. Pinar, "OSPF Routing with Optimal
Oblivious Performance Ratio Under Polyhedral Demand Uncertainty,"
2006, Discrete Applied Mathematics (pdf)
Journals
P. Belotti, A. Capone, G. Carello, F. Malucelli, "Multi-layer MPLS Network Design: the Impact of
Statistical Multiplexing," Computer Networks 52 (6), 2008, pp. 1125-1342
(link).
P. Belotti, M.Ç. Pinar, "Optimal oblivious routing
under linear and ellipsoidal uncertainty," Optimization and Engineering.
(link)
A. Altin, E. Amaldi, P. Belotti, M.Ç. Pinar,
"Provisioning Virtual Private Networks under Traffic
Uncertainty", 2005, Networks 49 (1), pp. 100-115,
2007 (link).
E. Amaldi, P. Belotti, R. Hauser, "Randomized relaxation
methods for the maximum feasible subsystem problem".
Proceedings, IPCO XI, Berlin 2005. Lecture Notes in
Computer Science 3509, pp. 249-264, 2005 (link).
E. Amaldi, P. Belotti, A. Capone, F. Malucelli,
"Optimizing base station location and configuration in
UMTS networks," Annals of Operations Research 146
(1), pp. 135-151, 2006 (link).
P. Belotti, L. Brunetta, F. Malucelli, "Multicommodity
network design with discrete node costs," Networks
49 (1), pp. 100-115, 2007 (link).
S. Kucherenko, P. Belotti, L. Liberti, N. Maculan, "New
formulations for the Kissing Number Problem," Discrete
Applied Mathematics 155 (14), pp. 1837-1841 (link).
P. Belotti, M. Labbé, F. Maffioli, M.M. Ndiaye, "A
branch-and-cut method for the Obnoxious p-Median
problem". 4OR 5(4), pp. 299-314, (link).
P. Belotti, "Multicommodity network design with
survivability constraints: some models and algorithms,"
4OR 3, pp. 79-81, 2005 (link).
Working papers
P. Belotti, F. Malucelli, "A Lagrangian Relaxation
approach to network design with Shared Protection". Presented at INOC
2003, Paris-Evry (France). (pdf)
P. Belotti, A. Saxena, "Network Design with probabilistic traffic demands: a branch-and-cut
approach."