“…, 0), where˜ z is the vector of the same dimension asz with all non-zero components equalling 1, where z ∈ R 24 + is the vector with all the components equalling 1. With the use of this notation, the goal function of utility company j, j ∈ 1, n can be written as so that u g , p u = ũ,p u , where the sense of the components of the vectors u,p u , u g , p u is completely identical to that of the corresponding components of the vectorsỹ,p y , y g , p y , respectively, and the corresponding components of the vectors from (6) satisfy the system of constraints that is completely identical to system (2) and is assumed to be compatible. Here, π u k , k ∈ 1, r have the same meaning that do π y i , i ∈ 1, m and π z j , j ∈ 1, n. Finally, let s u k be the hourly price that group of advanced customers k pays the transmission company for a unit volume of electric energy transmitted to this group of advanced customers during the 24 h period of time, and let˜ u = ( u , .…”