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arXiv · 2102.07131

A Node Formulation for Multistage Stochastic Programs with Endogenous Uncertainty

Giovanni Pantuso
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Abstract

This paper introduces a node formulation for multistage stochastic programs with endogenous (i.e., decision-dependent) uncertainty. Problems with such structure arise when the choices of the decision maker determine a change in the likelihood of future random events. The node formulation avoids an explicit statement of non-anticipativity constraints, and as such keeps the dimension of the model sizeable. An exact solution algorithm for a special case is introduced and tested on a case study. Results show that the algorithm outperforms a commercial solver as the size of the instances increases.

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Giovanni Pantuso. 2021-02-14. A Node Formulation for Multistage Stochastic Programs with Endogenous Uncertainty. https://doi.org/10.1007/s10287-021-00390-z

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