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University of Ottawa *

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Industrial Engineering

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Feb 20, 2024

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Solution:  Identify design decision variables and operating decision variables (20 pts) o Decision variables: reservoir size, maximum water consumption for each user (function of plant size) o Operating variables: target release, reservoir size, water allocation intervals and amounts allocated to users for each intervals  Develop a Goldsim model of the water resources system below and implement the reservoir rule and water allocation rule as shown in the figures. Assume that flow units are in m3/s; use a time step of one day. (30 pts) o See attached model (screenshots of model layout and equations of main components shown below) o o

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o o o  Using the inflow provided in Table 1, find the amount of water allocated to each user and the benefits each user generates. Does the reservoir size affect the benefits? Why? (25 pts) o Assuming storage capacity=0 m3 and that initial volume=storage capacity:

o When we assume that storage capacity=initial inflow, the size of the reservoir affects the total benefirs, as shown in this sensitivity analysis exercice (RUN –>ENSITIVITY ANALYSIS ->XY plot): o

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o 2.04e9 2.05e9 2.06e9 2.07e9 2.08e9 2.09e9 2.1e9 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Results Normalized Values Normalized X-Y Function Plot - Analyzed Result: Integrator_Benefit Storage_Capacity  Assuming a stochastic inflow with a uniform distribution between 2m3/s and 10 m3/s, find the average amount of water allocated to each user and the benefits each user generates. Does the reservoir size affect the benefits? Why? (25 pts); o See attached model o

o o The table below shos that like in the determisitic case, storage capacity improves the benefits Table 1: impact of stirage caacity on benefits Quantile Initial volume=1000000m3 Initial volume=0m3 0.05 1.54E+09 1.49E+09 0.15 1.56E+09 1.51E+09 0.25 1.58E+09 1.53E+09 0.35 1.58E+09 1.56E+09 0.45 1.59E+09 1.57E+09 0.5 1.6E+09 1.58E+09 0.55 1.6E+09 1.59E+09 0.65 1.61E+09 1.59E+09 0.75 1.62E+09 1.6E+09 0.85 1.63E+09 1.61E+09 0.95 1.66E+09 1.62E+09 0.99 1.68E+09 1.63E+09

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