Please use this identifier to cite or link to this item: https://hdl.handle.net/11000/6273

On capacity expansion planning under strategic and operational uncertainties based on stochastic dominance risk averse management


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Title:
On capacity expansion planning under strategic and operational uncertainties based on stochastic dominance risk averse management
Authors:
Escudero, Laureano F.
Monge Ivars, Juan Francisco
Department:
Departamentos de la UMH::Estadística, Matemáticas e Informática
Issue Date:
2018-05-30
Abstract:
A new scheme for dealing with uncertainty in scenario trees is presented for dynamic mixed 0–1 optimization problems with strategic and operational stochastic parameters. Let us generically name this type of problems as capacity expansion planning (CEP) in a given system, e.g., supply chain, production, rapid transit network, energy generation and transmission network, etc. The strategic scenario tree is usually a multistage one, and the replicas of the strategic nodes root structures in the form of either a special scenario graph or a two-stage scenario tree, depending on the type of operational activity in the system. Those operational scenario structures impact in the constraints of the model and, thus, in the decomposition methodology for solving usually large-scale problems. This work presents the modeling framework for some of the risk neutral and risk averse measures to consider for CEP problem solving. Two types of risk averse measures are considered. The first one is a time-inconsistent mixture of the chance-constrained and second-order stochastic dominance (SSD) functionals of the value of a given set of functions up to the strategic nodes in selected stages along the time horizon, The second type is a strategic node-based time-consistent SSD functional for the set of operational scenarios in the strategic nodes at selected stages. A specialization of the nested stochastic decomposition methodology for that problem solving is outlined. Its advantages and drawbacks as well as the framework for some schemes to, at least, partially avoid those drawbacks are also presented
Keywords/Subjects:
Capacity expansion planning
Strategic and tactical uncertainties
Multistage stochastic strategic scenario tree
Two-stage stochastic operational multiperiod scenario tree
Time-consistent and time-inconsistent stochastic dominance
Type of document:
application/pdf
Access rights:
info:eu-repo/semantics/openAccess
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