RESERVOIR OPERATION MODEL USING STOCHASTIC DYNAMIC PROGRAMMING
7.6 CONCLUSION
The operating policy for the Pagladia multipurpose reservoir has been developed in this chapter using SDP model. Three different SDP models, namely SDP1, SDP2 and SDP3 have been developed using 20, 30 and 40 characteristic storages of the reservoir. Seven characteristic values of inflow have been considered for each month to develop the operating policy by all the three SDP models. From the simulation result it has been observed that although squared deficit is minimum in the SDP2 model other SDP models also show better performance in respect of some of the criteria considered in this study for performance evaluation. However, considering minimum total squared deficit, minimum number of irrigation deficit month, and lesser spill in SDP2 model, the operating policy developed by SDP2 model can be preferred. Minimum squared deficit in SDP2 model indicates that deficit is distributed more uniformly among the deficit months. This is advantageous from the management point of view.
The operating policy derived by SDP2 model has been presented in Fig. 7.1a through Fig.7.12g for all months January through December and for all the seven inflow indices. Stochastic dynamic programming used in this chapter is a conventional optimization technique. In the next chapter a non-conventional optimization technique, namely, genetic algorithm is used to develop the optimal operating policy for the Pagladia multipurpose reservoir.
Fig 7.1b: Optimal operating policy for January
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig. 7.1a: Optimal operating policy for January
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 1
Fig.7.1d: optimal operating policy for January
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 4
Fig.7.1c: Optimal operating policy for January
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 3
Fig. 7.1f: Optimal operating policy for January
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 6
Fig.7.1e: Optimal operating policy for January
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 5
Fig. 7.2a: Optimal operating policy for February
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 1
Fig 7.1g: Optimal operating policy for January
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 7
Fig. 7.2c: Optimal operating policy for February
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 3
Fig. 7.2b: Optimal operating policy for February
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.2 e: Optimal operating policy for February
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in mm3 Final Storage Volume in Mm3
Inflow index 5
Fig. 7.2d: Optimal operating policy for February
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3
Final Storage Volume in Mm3
Inflow index 4
Fig. 7.2g: optimal operating policy forFebruary
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Stoarge Volume in Mm3
Inflow index 7
Fig. 7.2f: Optimal operating policy for February
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 6
Fig. 7.3b: Optimal operating policy for March
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig. 7.3a: Optimal operating policy
for March 45.64
95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial storage volume in Mm3 Final storage volume in Mm3
Inflow index 1
Fig7.3d: Optimal operating policy for March
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 4
Fig. 7.3c: Optimal operating policy for March
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Stoarge Volume in Mm3
Inflow index 3
Fig. 7.3f: Optimal operating policy for March
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Voume in Mm3 Final Storage Volume in Mm3
Inflow index 6
Fig.7.3e: Optimal operating policy for March
45.64 95.64 145.64 195.64 245.64 295.64
4 5 .6 4 1 4 5 .6 4 2 4 5 .6 4 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 5
Fig. 7.4a: Optimal operating policy for April
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 1
Fig.7.3g: Optimal operating policy for March
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 7
Fig.7.4c: Optimal operating policy for April
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 3
Fig. 7.4b: Optimal operating policy for April
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.4e: Optimal operating policy for April
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3
Final Storage Volume in Mm3
Inflow index 5
Fig. 7.4d: Optimal operating policy for April
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3
Final Storage Volume in Mm3
Inflow index 4
Fig.7.4 g: Optimal operating policy for April
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 7
Fig. 7.4f: Optimal operating policy for April
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 6
Fig. 7.5a: Optimal operating policy for May
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3
Final Storage Volume in Mm3
Inflow index 1
Fig. 7.5b: Optimal operating policy for May
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.5d Optimal operating policy for May
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3
Final Storage Volume in Mm3
Inflow index 4
Fig.7.5c: Optimal operating policy for May 45.64
95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Stoarge Volume in Mm3
Final Storage Volume in Mm3
Inflow index 3
Fig.7.5e: Optimal operating policy for May 45.64
95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 5
Fig. 7.5f: Optimal operating policy for May
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3 Final Stoarge Volume in Mm3
Inflow index 6
Fig. 7.6a: Optimal operating policy for June
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3
Final Storage Volume in Mm3
Inflow index 1
Fig.7.5g: Optimal operating policy forMay
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 7
.
Fig.7.6c: Optimal operating policy for June
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 3
Fig.7.6b: Optimal operating policy for June
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.6e: Optimal operating policy for June
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 5
Fig. 7.6d: Optimal operating policy for June
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 4
Fig. 7.6.g: Optimal operating policy for June
0 50 100 150 200 250 300 350
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 7
Fig.7.6f: Optimal operating policy for June
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 6
Fig.7.7b: Optimal operating policy for July
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.7a: Optimal operating policy for July
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 1
Fig.7.7d: Optimal operating policy for July
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 4
Fig.7.7c: Optimal operating policy for July
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Stoarge Volume in Mm3
Inflow index 3
Fig.7.7f: Optimal operating policy for July
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 6
Fig.7.7e: Optimal operating policy for July
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 5
Fig.7.8a: Optimal operating policy for August
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 1
Fig.7.7g: Optimal operating policy for July
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 7
Fig.7.8c: Optimal operating policy for August
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 3
Fig. 7.8b: Optimal operating policy for August
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.8e: Optimal operating policy for August
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 5
Fig.7.8d: Optimal operating policy for August
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 4
Fig.7.8g: Optimal operating policy for August
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 7
Fig.7.8f: Optimal operating policy for August
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 6
Fig. 7.9b: Optimal operating policy for September
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.9a: Optimal operating policy for September
45.64 95.64 145.64 195.64 245.64 295.64
45.64 95.64 145.64 195.64 245.64 295.64
Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 1
Fig.7.9d: Optimal operating policy for September
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 4
Fig.7.9c: Optimal operating policy for September
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 3
Fig.7.9f: Optimal operating policy for September
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3
Final Storage Volume in Mm3 Inflow index 6
Fig.7.9e: Optimal operating policy for September
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3
Final Storage Volume in Mm3
Inflow index 5
…..
Fig.7.9g: Optimal operating policy for September
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3
Final Storage Volume in Mm3 Inflow index 7
Fig.7.10a: Optimal operating policy for October
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 1
……
Fig.7.10b: Optimal operating policy for October 45.64
95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index
….
Fig.7.10c: Optimal operating policy for October
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 3
Fig.7.10e: Optimal operating policy October
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 5
Fig.7.10d: Optimal operating policy for October
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 4
Fig.7.10g: Optimal operating policy for October
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 7
Fig.7.10f: Optimal operating policy for october
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 6
Fig.7.11b. Optimal operating policy for November
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.11a: Optimal operating policy November
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 1
Fig.7.11d: Optimal operating policy for November
45.64 95.64 145.64 195.64 245.64 295.64 345.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 4
Fig.7.11c: Optimal operating policy for November
45.64 95.64 145.64 195.64 245.64 295.64 345.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 3
Fig.7.11f: Optimal operating policy for November
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 6
Fig.7.11e: Optimal operating policy for November
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 5
Fig. 7.12a: Optimal operating policy for December
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 1
Fig.7.11g: Optimal operating policy November
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 7
Fig.7.12c: Optimal operating policy for December
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 3
Fig.7.12b: Optimal operating policy for December
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Stoarge Volume in M m3 Final Storage Volume in Mm3
Inflow index 2
Fig.7.12d: Optimal operating policy for December
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64
Initial Storage Volume in Mm3 Final Storage Volume in Mm3
Inflow index 4
Fig.7.12e: Optimal operating policy for December
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 5
Fig.7.12g: Optimal operating policy for December
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 7
Fig.7.12f: Optimal operating policy for December
45.64 95.64 145.64 195.64 245.64 295.64
45.64 145.64 245.64 Initial Storage Volume in M m3 Final Storage Volume in Mm3
Inflow index 6
CHAPTER 8