en |
An inexact optimization model associated with two robust programming approaches for water resources management
Li, W.; Liu, M.; Wu, S. Z. & Xu, Y.
Abstract
n this study, an interval fuzzy-robust two-stage
stochastic-robust programming (IFRTSRP) model is developed
for water resources management under uncertainty. The
developed IFRTSRP model incorporates two-stage stochastic
programming (TSP), fuzzy robust programming (FRP),
interval linear programming (ILP), and stochastic robust
optimization (SRO) within a general optimization framework.
The IFRTSRP model can not only deal with uncertainties
presented as probability distributions, fuzzy
membership functions, discrete interval numbers, and their
combinations, but also provide an effective linkage between
the pre-regulated water resources management policies and
the associated economic implications. The IFRTSRP model
can also enhance the robustness for the optimization process
by delimiting the uncertain decision space through dimensional
enlargement of the original fuzzy constraints. Moreover,
the IFRTSRP model can evaluate the trade-offs between
system economy and stability by incorporating the variability
measures on penalty costs into the objective function. The
IFRTSRP model is applied to a hypothetical case study of
water resources management. The results indicate that reasonable
solutions would be generated under different levels of
λ and/or ω (non-negative weight coefficients); moreover, a
higher net system benefit would correspond to lower system
stability and higher system failure risk. Thus, the modeling
results can be used for generating decision alternatives and
thus help the managers to identify desired water allocation
policies based on the reasonable consideration of system
economy, system stability, and system failure risk
Keywords
Water resources management; Robust Modeling; Optimization; Uncertainty
|