Table 2 Notation used in this paper

D_i

DSO with index i

\(P_{i}^{j}\)

Producer j of D_i

\(C_{i}^{k}\)

Consumer k of D_i

\(\mathbb {D}\)

Set of DSOs

\(\mathbb {P}_{i}\)

Set of producers of D_i

\(\mathbb {C}_{i}\)

Set of consumers of D_i

\(\mathbb {P}\)

Set of all producers

\(\mathbb {C}\)

Set of all consumers

\(\mathbb {A}\)

Set of all DSOs, producers and consumers

\(\mathbb {E}\)

Set of all events

E_X(p₁,p₂,…,p_M)

Event of type X with parameters p_1…M

\(G_{i,j}^{l}\)

Green energy certificate of \(P_{i}^{j}\) with index l