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Approximating Joint Chance Constraints in Two-Stage Stochastic Programs

Technical Report ·
DOI:https://doi.org/10.2172/1763205· OSTI ID:1763205
 [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

We present various approximations to joint chance constraints arising in two-stage stochastic programming models. Our approximations are derived from three classical inequalities: Markov's inequality, Chebysev's inequality, and Chernoff's bound. We provide preliminary computational results illustrating the quality of our approximation using a two-stage joint-chance-constrained stochastic program from the literature. We also briefly introduce other alternatives for constructing approximations for joint-chance-constrained two-stage programs.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
DOE Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1763205
Report Number(s):
SAND--2019-10028R; 678816
Country of Publication:
United States
Language:
English

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