## An analytical investigation of operating policies for water-supply reservoirs in parallel |

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### Contents

Single demand site | 23 |

Two parallel reservoirs two demands | 77 |

Summary and extensions | 117 |

4 other sections not shown

### Common terms and phrases

allocation Appendix assumed available water capacity CM CM computational comparison constraint convex function Corollary cross-correlated demand sites dry season E8 U E9 equal expected shortages expected value feasible release Figure flows heuristic implies inequality inflow distributions KKT conditions Lemma lower bounds m1xflo multipliers nonlinear programming notation NYC rule objective function optim1l ss s1s optimal operating policies optimal policy optimal release vector optimal solution optimality conditions P-vector parallel reservoirs parameter period 2 inflows probability density functions probability of spilling probability terms Proof Proposition Proposition 13 random variable release policy reservoir system satisfy demand shortage in period shown side demand Side-Demand Example side-demand system Single-Demand Example single-demand system space rule spilling in excess spills in period standard deviation stochastic dynamic program stochastic programming Storage Levels according Target Storage Levels total releases total water value of shortages water after releases wet season zero