The time complexity bounds of the very efficient operations on union-find structures transfer to our monitoring algorithm: the execution time of a single monitoring step is guaranteed logarithmic in the number of observed objects. The amortised time is bound by an inverse of Ackermann's function. ...
This paper presents a linear-time algorithm for the special case of the disjoint set union problem in which the structure of the unions (defined by a “union tree”) is known in advance. The algorithm executes an intermixed sequence of m union and find operations on n elements in O(m+n...
Additionally, the complexity of query operations will affect response times, due to the delays introduced by the planning of the data distribution operation. Table 1 shows how the selected STSDMSs exhibit a lower real-time operation capacity as the semantic complexity of the data description ...
Despite the outlined advantages of fog monitoring and MPSoCs, existing research still lacks a model-based development process to design, deploy and evaluate the predictability of fog monitoring of real-time control over MPSoCs. Considering that model-based development allows dealing with complexity, ve...
The algorithm handles each update in O(mα(m,n)) amortized time, and each query in O(1) time, where α(m,n) is a functional inverse of Ackermann's function appearing in the analysis of the union-find data structure. Note that the update time of O(mα(m,n)), ...
recent advances, the field still encounters major challenges, such as the complexity of behavior deconstruction and the high specificity of the existing solutions4,5. In this study we aim to provide a generalized tool that can be used broadly for a variety of data and coupled with existing ...
Order Labeling Algorithm (ROLA) based on the traditional Dijkstra algorithm to solve the problem; the correctness of the proposed algorithm is proved theoretically, and we analyse and give the time complexity of the ROLA and design a calculation example to verify the effectiveness of the algorithm....
Is there a way to determine stored procedure complexity? Is there a way to insert the output of 'RESTORE HEADERONLY' or 'RESTORE FILELISTONLY' to a table? Is there a way to use a conditional where clause Is there a way to use aliases in a calculation? Is there a work-around to cr...
Similar to branch-and-cut algorithms, which add cuts during the exploration of the branch-and-bound tree, branch-and-refine includes the graph refinement as an additional step in a branch-and-bound algorithm. To the best of our knowledge this kind of concept has not been explored in the ...
We next analyze the time complexity. Step 1 can be done in O(N) time because Tℓ is of size N and thus we have no more than N tuples to create. Step 2 can be done in O(N) time. Sorting can be done in O(N) time using radix sort. By definition, for any two labeled ...