Economic development of groundwater in arid zones with applications to the Negev Desert, Israel

Jack Brimberg, Abraham Mehrez, Gideon Oron

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A mixed binary integer linear program is formulated to determine the economic development of marginal groundwater sources at local demand sites in an arid region. These marginal sources are required to augment the supply from an overloaded regional source. The model accounts for variable costs of supply, fixed investment costs, capacity constraints at the regional and local levels, and water quality requirements at the local sites. A Lagrangian relaxation reduces the model to a series of simple local problems, the solution of which provides an optimal sequence for developing the marginal groundwater sources while reducing the demands on the regional source. A heuristic and an exact procedure are also proposed to solve the problem for arbitrary levels of supply from the regional source. The exact procedure uses characteristics of the optimal solution to reduce the model to a series of knapsack-type problems. The theory is applied to a small case study taken from the Negev Desert in southern Israel.
    Original languageEnglish
    Pages (from-to)353-363
    Number of pages11
    JournalManagement Science
    Volume40
    Issue number3
    DOIs
    StatePublished - 1994

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