An Embarrassingly Parallel Method for Large-Scale Stochastic Programs
Burhaneddin Sandıkçı () and
Osman Y. Özaltın ()
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Burhaneddin Sandıkçı: University of Chicago Booth School of Business
Osman Y. Özaltın: North Carolina State University
A chapter in Large Scale Optimization in Supply Chains and Smart Manufacturing, 2019, pp 127-151 from Springer
Abstract:
Abstract Stochastic programming offers a flexible modeling framework for optimal decision-making problems under uncertainty. Most practical stochastic programming instances, however, quickly grow too large to solve on a single computer, especially due to memory limitations. This chapter reviews recent developments in solving large-scale stochastic programs, possibly with multiple stages and mixed-integer decision variables, and focuses on a scenario decomposition-based bounding method, which is broadly applicable as it does not rely on special problem structure and stands out as a natural candidate for implementation in a distributed fashion. In addition to discussing the method theoretically, this chapter examines issues related to a distributed implementation of the method on a modern computing grid. Using large-scale instances from the literature, this chapter demonstrates the potential of the method in obtaining high quality solutions to very large-scale stochastic programming instances within a reasonable time frame.
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-22788-3_5
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DOI: 10.1007/978-3-030-22788-3_5
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