Design of trees in the hose model: The balanced case

In the hose model we are given upper bounds b"u^-/b"u^+ on the amount of traffic entering/leaving a node. We show that when @?"u"@?"Vb"u^[email protected]?"v"@?"Vb"u^-, designing a minimum cost tree network is easy and the cost of an optimal tree reservation is within a factor of three of the cost of any reservation.