“…Define the weighted global allocation vectorW = [A 1 /B 1 , A 2 /B 2 , ··· , A n /B n ], where A i = ∑ j∈S(i) a i j .A feasible allocation must satisfy (i) for any f i and s j ∈ S(i), a i j ≥ L i j (to avoid resource-specific starvation), and (ii) for any s j , ∑ f i ∈F( j) a i j = C i (work-conserving server capacity constraint). The goal of the model is to find the lexicographically minimum[2] vector, W , among all feasible allocations. Intuitively, this tries to makes the components of vector W equal (A i /B i = A j /B j ), so that the A i 's are in proportion to their global bandwidth requirements, subject to meeting all local requirements.…”