Deficit round robin
Deficit Round Robin (DRR), also Deficit Weighted Round Robin (DWRR), is a scheduling algorithm for the network scheduler. DRR is, like weighted fair queuing (WFQ), a packet-based implementation of the ideal Generalized Processor Sharing (GPS) policy. It was proposed by M. Shreedhar and G. Varghese in 1995 as an efficient (with O(1) complexity) and fair algorithm.
In DRR, a scheduler handling N flows[a] is configured with one quantum for each flow. This global idea is that, at each round, the flow can send at most bytes, and the remaining, if any, is reported to the next round. In this way, the flow of number i will achieve a minimal long term data rate of , where is the link rate.
The DRR scans all non empty queues in sequence. When a non empty queue is selected, its deficit counter is incremented by its quantum value. Then, the value of the deficit counter is a maximal amount of bytes that can be sent at this turn: if the deficit counter is greater than the packet's size at the head of the queue (HoQ), this packet can be sent and the value of the counter is decremented by the packet size. Then, the size of the next packet is compared to the counter value, etc. Once the queue is empty or the value of the counter is insufficient, the scheduler will skip to the next queue. If the queue is empty, the value of the deficit counter is reset to 0.
Variables and Constants const integer N // Nb of queues const integer Q[1..N] // Per queue quantum integer DC[1..N] // Per queue deficit counter queue queue[1..N] // The queues
Scheduling Loop while (true) for i in 1..N if not queue[i].empty() DC[i]:= DC[i] + Q[i] while( not queue[i].empty() and DC[i] >= queue[i].head().size() ) DC[i]:= DC[i] - queue[i].head().size() send( queue[i].head() ) queue[i].dequeue() end while if queue[i].empty() DC[i]:= 0 end if end if end for end while
Performances: fairness, complexity
Like other GPS-like scheduling algorithm, the choice of the weights is left to the network administrator.
Like WFQ, DRR offers a minimal rate to each flow whatever the size of the packets is. In weighted round robin scheduling, the fraction of bandwidth used depend on the packet's sizes.
Compared with WFQ scheduler that has complexity of O(log(n)) (n is the number of active flows/queues), the complexity of DRR is O(1), if the quantum is larger than the maximum packet size of this flow. Nevertheless, this efficiency has a cost: the latency, i.e. the distance to the ideal GPS, is larger in DRR than in WFQ. 
In Cisco and Juniper routers, modified versions of DRR are implemented: since the latency of DRR can be larger for some class of traffic, these modified versions give higher priority to some queues, whereas the others are served with the standard DRR algorithm.
- Scheduling algorithm
- Fair Queuing
- Generalized processor sharing
- Weighted Fair Queuing
- Weighted round robin
- Fairness measure
- Flows may also be called queues, classes or sessions
- Shreedhar, M.; Varghese,G. (October 1995). "Efficient fair queueing using deficit round robin". ACM SIGCOMM Computer Communication Review. 25 (4): 231. doi:10.1145/217391.217453. ISSN 0146-4833.
- Lenzini, L.; Mingozzi, E.; Stea, G. (2002). "Aliquem: A novel DRR implementation to achieve better latency and fairness at O(1) complexity". IEEE 2002 Tenth IEEE International Workshop on Quality of Service (Cat. No.02EX564). p. 77. doi:10.1109/IWQoS.2002.1006576. ISBN 0-7803-7426-6.
- "DRR Linux kernel network scheduler module". kernel.org. Retrieved 2013-09-07.
- Lenzini, Luciano; Mingozzi, Enzo; Stea, Giovanni (2007). "Performance Analysis of Modified Deficit Round Robin Schedulers". IOS Journal of High Speed Networks.
- Lenzini, Luciano; Mingozzi, Enzo; Stea, Giovanni (2006). Performance Analysis of Modified Deficit Round Robin Schedulers (Technical report). Dipartimento di Ingegneria della Informazione, University of Pisa.