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Table 1 Example peak plan and cumulative sum leading to a price reset index r=4

From: Calculating retail prices from demand response target schedules to operate domestic electric water heaters

Slot i 1 2 3 4 5 6
Γ i 0 1 1 -2 1 4
\(\sum _{j=1}^{i}\Gamma _{j}\) 0 1 2 0 1 5