Stochastic programming with step decision rules (SPSDR) aims to produce efficient solutions to multistage stochastic optimization problems. SPSDR, like plain multistage Stochastic Programming (SP), operates on a Monte Carlo "computing sample" of moderate size that approximates the stochastic process
A multistage stochastic programming algorithm suitable for parallel computing
✍ Scribed by Jörgen Blomvall
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 187 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0167-8191
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✦ Synopsis
In [Euro. J. Operat. Res. 143 (2002) 452; Opt. Meth. Software 17 (2002) 383] a Riccatibased primal interior point method for multistage stochastic programmes was developed. This algorithm has several interesting features. It can solve problems with a nonlinear node-separable convex objective, local linear constraints and global linear constraints. This paper demonstrates that the algorithm can be efficiently parallelized. The solution procedure in the algorithm allows for a simple but efficient method to distribute the computations. The parallel algorithm has been implemented on a low-budget parallel computer, where we experience almost perfect linear speedup and very good scalability of the algorithm.
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