In Example 9.16 , consider the following data that show the demand and the utility function for different sectors that are obtained from compromising sessions. If the relative weights of agriculture, domestic water use, industrial water use, environmental protection, and power generation are considered as 0.135 , 0.33 , 0.2 , 0.2 , and 0.135 , respectively, find the optimal solution and the most appropriate water allocation scheme for a year with an average flow of 15 MCM and an initial water storage of 25 MCM.

The results of the compromising sessions are as follows:

• Environmental sector: The environmental water quantity and quality in the downstream river is the main concern of this sector. Assume that the discharge of 8 MCM per month is needed for the river ecosystem; the environmental utility function for river flow (f_env)
is formulated as

where Q_env is the instream flow downstream.
• Agricultural sector: The main objective of this sector is water supply with acceptable quality to fulfill agricultural demands and reduce the return flow removal cost. The utility of this sector related to the water supply is based on the water supply reliability. The considered agricultural water demand in this example is about 8 MCM. Therefore, the utility function for agricultural demand is assumed to be

where f_agr is the utility function related to the water supply reliability and Q_agr is the water allocated to agricultural water • Industrial sector: The main objective of this sector is water supply to fulfill industrial demands. The utility function of the decision makers in this sector for assessing the reliability of the industrial water supply is as follows:
• Industrial sector: The main objective of this sector is water supply to fulfill industrial demands. The utility function of the decision makers in this sector for assessing the reliability of the industrial water supply is as follows:

Data from example 9.16 Consider a multipurpose reservoir upstream of an urban area with conflicting objectives. Discuss the general considerations in resolving conflicts over a multipurpose reservoir operation.

Transcribed Image Text:

if Qany 8 MCM, fen (en) 1-0.33(8-Q) if 5Qen <8 MCM, 0 if Qen <5 MCM,