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Stochastic optimization of water supply expansion
Author(s) -
Bogle M. G. V.,
O'Sullivan M. J.
Publication year - 1979
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr015i005p01229
Subject(s) - schedule , stochastic programming , investment (military) , dynamic programming , mathematical optimization , water supply , stochastic modelling , state variable , water storage , variable (mathematics) , variable cost , random variable , total cost , environmental science , computer science , operations research , mathematics , engineering , environmental engineering , economics , statistics , law , mathematical analysis , microeconomics , operating system , accounting , political science , inlet , thermodynamics , mechanical engineering , physics , politics
Stochastic dynamic programming is used to schedule the annual expansion of a water supply facility which is being used to supplement a catchment reservoir of fixed storage capacity. The optimal plant construction programme over a planning period of many years is that which optimises the total expected discounted cost, which is made up of investment cost, operating cost, and shortfall penalty cost. Reservoir storage is used as the state variable, and the stochastic structure of the system is derived from the probability distributions of monthly inflows. Storage carryover from year to year is incorporated into the model as an important feature.