“…Some of the most popular studies on EANM, [22,[63][64][65], explicitly address the variant of the IP-BEANM problem (1-8) adapted to model sleeping capabilities (see Section 3.4). We recall that (i) routing is flow based [20,105,106] x x x [107] x x x [108] x x x [109] x x x [110] x x x [111] x x x [53] x x x x [112] x x x x [113,114] x x x x [115,116] x x x [117,118] x x x x [119] x x x x [120] x x x and fully splittable, that is, flow variables f d i j are real and nonnegative, (ii) the objective function minimizes the fixed energy cost paid to keep a node (router) or a link (network interface) in the active state and no proportional consumption component is considered, i.e., objective function (1) is replaced by (20), (iii) link capacity constraints (5) are adjusted as in (21), (iv) each link is assumed to be made by a single network interface or line card, i.e.,…”