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Dtic Ada513135%3a Optimality Functions In Stochastic Programming by Defense Technical Information Center
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1DTIC ADA513135: Optimality Functions In Stochastic Programming
By Defense Technical Information Center
Optimality functions in nonlinear programming conveniently measure, in some sense, the distance between a candidate solution and a stationary point. They may also provide guidance towards the development of implementable algorithms. In this paper, we use an optimality function to construct procedures for validation analysis in stochastic programs with nonlinear, possibly nonconvex, expected value functions as both objective and constraint functions. We construct an estimator of the optimality function and examine its consistency, bias, and asymptotic distribution. The estimator leads to confidence intervals for the value of the optimality function at a candidate solution and, hence, provides a quantitative measure of solution quality. We also construct an implementable algorithm for solving smooth stochastic programs based on sample average approximations and the optimality function estimator. Preliminary numerical tests illustrate the proposed algorithm and validation analysis procedures.
“DTIC ADA513135: Optimality Functions In Stochastic Programming” Metadata:
- Title: ➤ DTIC ADA513135: Optimality Functions In Stochastic Programming
- Author: ➤ Defense Technical Information Center
- Language: English
“DTIC ADA513135: Optimality Functions In Stochastic Programming” Subjects and Themes:
- Subjects: ➤ DTIC Archive - NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF OPERATIONS RESEARCH - *NONLINEAR PROGRAMMING - *STOCHASTIC PROCESSES - CONFIDENCE LIMITS - MATHEMATICAL PROGRAMMING - ASYMPTOTIC SERIES - VALIDATION - ALGORITHMS - NUMERICAL ANALYSIS
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- Internet Archive ID: DTIC_ADA513135
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