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Let B t denote the set of backlogged flows at time t. So, the packets are sorted according to the minimum eligible finish time. However, WFQ provides two important guarantees: a bounded delay and associated minimum throughput of the flow. In WFQ the flow cannot reclaim time from another flow that used its empty channel time when the first flow had no packets to transmit.

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In a wireless environment a flow may be backlogged, but unable to transmit due to channel errors. It shows how the WFQ behaves in a wireless environment through a simple example. Let flows f1 and f2 be two flows that share a wireless channel, and let both have equal weights. Considering a time window [0,1].

It is assumed that flow f1 is error-free over the entire time window. But, let us suppose that flow f2 perceives channel error in the time interval [0, 0. Then, in the interval [0, 0. In the interval [0.

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So, the first flow receives 0. WFQ Algorithms There are several different approaches for wireless fair queuing. One should note, however, that all of them are based on compensation i. Most of these algorithms are developed for wireless LANs e. All of them are modifications and adaptations of WFQ or its approximation algorithms e. In this section we describe the most well-known wireless fair scheduling algorithms. At this point, it is convenient to define certain terms—such as lagging flow, leading flow, backlogged flow—that are used in the descriptions of the algorithms.

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A flow is said to be leading if it has received channel allocation in excess of its error-free service. A flow is lagging if it has received less channel allocation than its error-free service. A flow is backlogged if it has packets to transmit over the channel. Both start and finish tags are assigned according to the WFQ.

The service tag for a flow is set to the finish tag of its head-of-line packet.

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IWFQ selects the flow with a least service tag among all backlogged flows that are error-free. The lead of the leading flow is the difference between its real service tag and its service tag in an error-free channel. IWFQ always allocates the slot channel time to the error-free flow with the lowest tag until it either perceives an error channel or its finish tag becomes greater than that of some other flow with an error-free channel.

It provides long-term fairness and bounded delay channel access. The possible drawback is that lagging flows can capture the channel, and starve out other 4. A leading flow with a current lead li 88 flows. Hence, IWFQ does not support graceful degradation of service. WPS generates a frame of slot allocation from the WRR-spreading algorithm and provides fairness by swapping time allocations between mobile terminals experiencing error bursts and currently error-free terminals.

The compensation is two-fold. WPS first tries to swap slots within a frame. If this fails, then it maintains the difference between the real service and the fair service for the flow by changing the effective weight in each frame based on the result of the previous frame. So, it attempts to provide graceful trading of the bandwidth between the leading and the lagging flows. This way it provides bounded delay channel access and long-term fairness, and at the same time it prevents the total channel capture by using the effective weights. Each flow has a lag, which is defined as the difference between the error-free service and the real perceived service.