“…In the m-th iteration, let U m−1 and L m−1 respectively denote the upper bound and lower bound of Q l . For Q m = U m−1 + L m−1 2, with given c l−1 a,t , v l−1 a,t April 5, 2019 DRAFT and P l a,t obtained by solving the problem in (42), the convex problem can be formulated as find c m a,t , v m a,t , a m a,t (44) subject to (10), (11), (12), (23), (24), (31), (37), (38), (39) where P a,t , c a,t , v a,t , a a,t , Q are replaced with P l a,t , c m a,t , v m a,t , a m a,t , Q m , respectively. Besides, v r a,t and c r a,t are replaced with v l−1 a,t and c l−1 a,t , respectively.…”