Secondary or booster disinfection consists of the addition of disinfectant atdistinct locations distributed throughout a water distribution system. This workdescribes a stochastic approach for the optimal location of booster disinfectionstations in water distribution networks. The model minimizes the expected totalcost involving the installation of booster stations and the mass of disinfectantneeded to satisfy the residual concentration constraints within the network.Inherent uncertainties such as water demand and the chemical reactions of thedisinfectant taking place on the system indirectly incorporate uncertainties onthe model parameters. Hence, the problem has been reformulated as a firststage-integer two-stage stochastic mixed integer linear program with recourse.The parameters needed for the solution are obtained through the water qualitysimulator EPANET 2.0. The resulting formulation has been solved through ageneralized framework based on the stochastic decomposition algorithm. Theframework integrates the GAMS modeling environment, the EPANETsimulator, sampling code (FORTRAN) to handle uncertainties and a C++master program. The paper describes the model and the solution framework,and compares deterministic and stochastic optimal solutions.
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