Abstract
In this paper, a stochastic multi-objective chance-constrained programming model (SMOCCP) was developed for tackling the water supply management problem. Two objectives were included in this model, which are the minimization of leakage loss amounts and total system cost, respectively. The traditional SCCP model required the random variables to be expressed in the normal distributions, although their statistical characteristics were suitably reflected by other forms. The SMOCCP model allows the random variables to be expressed in log-normal distributions, rather than general normal form. Possible solution deviation caused by irrational parameter assumption was avoided and the feasibility and accuracy of generated solutions were ensured. The water supply system in the Xiaoqing River watershed was used as a study case for demonstration. Under the context of various weight combinations and probabilistic levels, many types of solutions are obtained, which are expressed as a series of transferred amounts from water sources to treated plants, from treated plants to reservoirs, as well as from reservoirs to tributaries. It is concluded that the SMOCCP model could reflect the sketch of the studied region and generate desired water supply schemes under complex uncertainties. The successful application of the proposed model is expected to be a good example for water resource management in other watersheds.
Highlights
The watershed comprising social, economic and environmental factors has always played an important role in human survival and development
The study results demonstrated that the stochastic multi-objective chance-constrained programming model (SMOCCP) model owns advantages in terms of methodological development and practical applicability, which is effective in tackling the water supply management problem under complexities and uncertainties
The cost coefficients and leakage loss rates are considered as the major sensitive parameters, where the variation range of cost coefficients is divided into seven levels including −25%, −50%, −75%, 1, +25%, +50%, and 75%
Summary
The watershed comprising social, economic and environmental factors has always played an important role in human survival and development. The average agricultural water utilization factor is 0.47, which is significantly lower than the global average level (0.7–0.8); the water consumption rate of ten thousand Yuan GDP is about 300 m3 and two times higher than the global average [2]. It flows through ten regions procedures of formulating and solving the proposed SMOCCP model, which can be summarized as (including towns and districts) of Jinan, Zibo, Binzhou, Dongying and Weifang from the west to follows: the east, gathering the water from eighteen counties and falling into the bay Laizhou.
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