Implicit Mean-Variance Approach for Optimal Management of a Water Supply System under Uncertainty
| Autor: | Uri Shamir, Mashor Housh, Avi Ostfeld |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Mathematical optimization
geography Optimization problem geography.geographical_feature_category business.industry Geography Planning and Development Water supply Aquifer Management Monitoring Policy and Law Desalination Standard deviation Stochastic programming Quadratic equation Economics business Realization (systems) Water Science and Technology Civil and Structural Engineering |
| Zdroj: | Journal of Water Resources Planning and Management. 139:634-643 |
| ISSN: | 1943-5452 0733-9496 |
| Popis: | This study addresses the management of a water supply system under uncertainty. Water is taken from sources that include aquifers and desalination plants and conveyed through a distribution system to consumers under constraints of quantity and quality. The replenishment into the aquifers is stochastic, whereas the desalination plants can produce a large and reliable amount, but at a higher cost. The cost is stochastic because it depends on the realization of the replenishment into the aquifer. A new implicit mean-variance approach is developed and applied. It utilizes the advantages of implicit stochastic programming to formulate a small size and easy to solve convex external optimization problem (quadratic objective and linear constraints) that generates the mean-variance tradeoff without the need to solve a large-scale problem. The results are presented as a tradeoff between the expected value versus the standard deviation. At one end of the tradeoff curve, dependence on the aquifer results in l... |
| Databáze: | OpenAIRE |
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