Name
Abstract | ||
|---|---|---|
In this paper, we introduce an approach for constructing uncertainty sets for robust optimization using new deviation measures for random variables termed the forward and backward deviations. These deviation measures capture distributional asymmetry and lead to better approximations of chance constraints. Using a linear decision rule, we also propose a tractable approximation approach for solving a class of multistage chance-constrained stochastic linear optimization problems. An attractive feature of the framework is that we convert the original model into a second-order cone program, which is computationally tractable both in theory and in practice. We demonstrate the framework through an application of a project management problem with uncertain activity completion time. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1287/opre.1070.0441 | Operations Research |
Keywords | Field | DocType |
computationally tractable,chance-constrained stochastic linear optimization,robust optimization perspective,stochastic programming,linear decision rule,deviation measure,attractive feature,robust optimization,better approximation,tractable approximation approach,chance constraint,new deviation measure,programming,linear optimization,decision rule,stochastic,random variable | Decision rule,Stochastic optimization,Mathematical optimization,Random variable,Robust optimization,Algorithm,Linear programming,Stochastic programming,Random measure,Mathematics,Constrained optimization | Journal |
Volume | Issue | ISSN |
55 | 6 | 0030-364X |
Citations | PageRank | References |
83 | 3.94 | 20 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xin Chen | 1 | 686 | 46.82 |
| Melvyn Sim | 2 | 1909 | 117.68 |
| Peng Sun | 3 | 420 | 26.68 |