Before revision:  We specifically show that the sojourn time distribution for a customer of a particular class in a system with the  DPS (GPS) scheduling policy is a constant multiple of the  waiting time distribution of a customer of the same class in a system with the DROS (respectively WFQ) policy.
After revision:  We specifically show that the sojourn time distribution for a class i customer in a system with the MPS policy is a constant multiple of the tail of the waiting time distribution of a class i customer in a system with the DPS (GPS) scheduling policy is a constant multiple of the waiting time distribution of a customer of the same class in a system with the DROS (respectively WFQ) policy.