Abstract
This is a summary of the main results presented in the author’s PhD thesis, supervised by D. Conforti and P. Beraldi and defended on March 2005. The thesis, written in English, is available from the author upon request. It describes one of the very few existing implementations of a method for solving stochastic mixed integer nonlinear programming problems based on deterministic global optimization. In order to face the computational challenge involved in the solution of such multi-scenario nonconvex problems, a branch and bound approach is proposed that exploits the peculiar structure of stochastic programming problem.
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References
Bertsekas DP, Nedic A (2001) Incremental subgradient methods for nondifferentiable optimization, SIAM J Optim 12:109–138
Birge JR, Louveaux FV (1997) Introduction to stochastic programming, Springer Series on Operations Research
Bruni ME (2005a) Mixed integer nonlinear stochastic programming, PhD Thesis, University of Calabria, Cosenza (Italy)
Bruni ME (2005b) Solving nonlinear mixed integer stochastic problems: a global perspective. In: Liberti L, Maculan N (eds) Global optimization: from theory to implementation, Kluwer (Nonconvex Optimization and its Applications series, vol 84), pp 75–106; ISBN: 0-387-28260-2
Kall P, Wallace SW (1994) Stochastic programming. Wiley, New York
LindoApi (2003) The premier optimization engine, Lindo System Inc. North Dayton Street Chicago, Illinois 60622
Neumaier A (2004) Complete search in continuous global optimization and constraint satisfaction. In: Iserles A (ed) Acta Numerica. Cambridge University Press, Cambridge
Prékopa A (1995) Stochastic programming. Kluwer, Dordrechf
Sen S (2001) Stochastic programming: computational issues and challenges. In: Gass S, Harris C (eds) Encyclopedia of OR/MS. Kluwer, Dordrechf
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Bruni, M.E. A decomposition-based solution method for stochastic mixed integer nonlinear programs. 4OR 4, 343–346 (2006). https://doi.org/10.1007/s10288-006-0007-3
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DOI: https://doi.org/10.1007/s10288-006-0007-3