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Table 1 Notation

From: Time-dependent electricity pricing using variable announcement horizons

Symbol

Description

H

Horizon length, i.e., time between price announcement and corresponding period.

pflat

Constant price of a flat tariff.

pt

Price at time t.

xt,base

Baseline demand at time t.

xt

Actual demand at time t.

T

Supplier’s periods of consideration.

w(d,s)

Waiting function. Denotes the share of demand shifted s periods when there is a relative price difference of d.

Ct

Random procurement cost at time t.

ct

Unbiased estimator for Ct.

δ

Discount parameter. Denotes the average price reduction that has to be offered for TDP to be competitive.

λ

Risk aversion parameter.

φ1

Forecasting quality coefficient. Dropped in augmented model.

φ2

Forecasting quality decay rate.

φ

Equals φ2 in augmented model.

Πt

Supplier’s revenue at time t.

zc(·)

Supplier’s risk-adjusted profit.

zflat(·)

Supplier’s risk-adjusted profit under flat pricing.