By Călin Curescu.
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Extra info for Utility-based optimisation of resource allocation for wireless networks
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3), and resource is allocated in this order until depleted. Thus, an allocation to a task equals to the sum of the resource amounts of its “allocated segments”. The concave form of the convex hull ensures a consistent allocation. Note that the slope of segment j, (ui,j − ui,j−1 )/(ri,j − ri,j−1 ), represents its efficiency in terms of contribution to the system utility. The complexity of the algorithm is O(nL log n), where n is the number tasks, and L is the maximum number of utility levels of a utility function.
Based on their flexibility to reallocations, we have categorised applications in three classes: non-flexible, semi-flexible and fully flexible. The time at which a reallocation decision is taken is also very important. Because of the invested resources, disconnecting a connection when it is nearly finished creates a larger utility loss than if it is dropped just after start and bandwidth has been invested for a small period of time. Thus, the system has to be aware of the age of the connections to take a good (re)allocation decision.
If a class I new connection is accepted, any subsequent reduction of bandwidth is equivalent to dropping the connection. Since it uses the same amount of resources during its lifetime, increasing the bandwidth brings no benefit. If the connection is not dropped, the accumulated utility of the connection is calculated by this formula: × duration. Examples are hard real-time applications, uai = uinit i critical control data, real-time data streams. Class II represents semi-flexible connections. These are applications that are judged by their worst moment in their lifetime.