The phrase "allocation for a given" is correct and usable in written English.
It can be used when discussing the distribution or assignment of resources or responsibilities for a specific purpose or context.
Example: "The allocation for a given project must be carefully planned to ensure all necessary resources are available."
Alternatives: "distribution for a specific" or "assignment for a particular".
Therefore, we decouple the resource allocation problem into two sub-problems: PRB (bandwidth) allocation for a given power allocation and power allocation for a given PRB allocation.
These problems include workload allocation and buffer capacity allocation for a given set of workstations with associated processing times.
The network works under the a WiMAX environment with 2 channels available for allocation for a given time instance.
We propose an iterative method, where at each iteration we first solve the subproblems (6) to obtain an user-to-carrier allocation for a given subcarrier power allocation,.
We derive a closed form expression of the optimal time allocation for a given ratio of the rates in all directions and for given signal-to-noise ratios of all channels.
We find a close to optimum allocation for a given set of voice users with minimum QoS requirements and a set of best-effort users which guarantees service for the voice users and maximizes the sum utility of the best-effort users.
Spatial optimisation methods can be applied to identify the most effective allocation of a given budget for conservation.
Our approach is able to detect all valid map/reduce slots allocations for a given budget range and to present them to the user.
The main issue for these results is that, contrary to the asymptotic approximations, the unit step approximations are not always invertible and thus do not yield closed-form power allocations for a given target PER.
A naive way to arrive at an optimal resource allocation plan is to enumerate all possible resource allocation plans for a given set of applications under given cloud resource constraints.
The InP then simply applies a component-wise maximum (cmax) of the multiset representing all resource allocation state for a given VN request, V N b i, E a j b i = { C ( E a j k ) : ∀ EmbeddingId k ∈ V N b i } and reserves those resources.
