1. Discover Worst-Case Execution Time - WCET - Rapita Systems
Worst-case execution time is the maximum length of time a task takes to execute on a specific hardware platform. WCET is a metric commonly used in reliable real ...
The importance of worst-case execution time (WCET) can be illustrated using a simple example relating to a system to control air bags in an automobile. If the airbag does not deploy within certain timing deadlines, its effectiveness in preventing injury to the driver may be negatively affected. Similar use cases exist in other safety-critical industries including aerospace, rail, nuclear etc.

2. A balanced search tree with 0(1) worst-case update time - Utrecht University
A balanced search tree with 0(1) worst-case update time. M.H. Overmars. Utrecht University; Dep Informatica. Research output: Book/Report › Report › Academic.
Overmars 87 a balanced search
3. Deterministic Dynamic Matching In Worst-Case Update Time - arXiv
24 aug 2021 · We close the gap between worst-case and amortized algorithms for the two approximation ratios as the best deterministic amortized update times ...
We present deterministic algorithms for maintaining a $(3/2 + ε)$ and $(2 + ε)$-approximate maximum matching in a fully dynamic graph with worst-case update times $\hat{O}(\sqrt{n})$ and $\tilde{O}(1)$ respectively. The fastest known deterministic worst-case update time algorithms for achieving approximation ratio $(2 - δ)$ (for any $δ> 0$) and $(2 + ε)$ were both shown by Roghani et al. [2021] with update times $O(n^{3/4})$ and $O_ε(\sqrt{n})$ respectively. We close the gap between worst-case and amortized algorithms for the two approximation ratios as the best deterministic amortized update times for the problem are $O_ε(\sqrt{n})$ and $\tilde{O}(1)$ which were shown in Bernstein and Stein [SODA'2021] and Bhattacharya and Kiss [ICALP'2021] respectively. In order to achieve both results we explicitly state a method implicitly used in Nanongkai and Saranurak [STOC'2017] and Bernstein et al. [arXiv'2020] which allows to transform dynamic algorithms capable of processing the input in batches to a dynamic algorithms with worst-case update time. \textbf{Independent Work:} Independently and concurrently to our work Grandoni et al. [arXiv'2021] has presented a fully dynamic algorithm for maintaining a $(3/2 + ε)$-approximate maximum matching with deterministic worst-case update time $O_ε(\sqrt{n})$.

4. Worst-Case Response Time Analysis of Real-Time Tasks under Fixed ...
Bevat niet: patch | Resultaten tonen met:patch
Fixed-priority scheduling with deferred preemption (FPDS) has been proposed in the literature as a viable alternative to fixed-priority preemptive scheduling (FPPS), that both reduces the cost of arbitrary preemptions and removes the need for non-trivial resource access protocols. This paper shows that existing worst-case response time analysis of hard real-time tasks under FPDS, arbitrary phasing and relative deadlines at most equal to periods is both pessimistic and optimistic. This paper provides a revised analysis, resolving the problems with the existing approaches. The analysis assumes a continuous scheduling model. It is shown that the critical instant, longest busy period, and worst-case response time for a task are suprema rather than maxima for all tasks, except for the lowest priority task. Moreover, it is shown that the analysis is not uniform for all tasks, i.e. the analysis for the lowest priority task differs from the analysis of the other tasks, because only the lowest priority task cannot be blocked. To build on earlier work, the worst-case response time analysis for FPDS is expressed in terms of known worst-case analysis results for FPPS. The paper includes pessimistic variants of the analysis, which are uniform for all tasks.

5. [PDF] Faster Randomized Worst-Case Update Time for Dynamic ...
Dynamic graph connectivity with improved worst case update time and sublinear space · Computer Science, Mathematics. ArXiv · 2015.
![[PDF] Faster Randomized Worst-Case Update Time for Dynamic ...](https://i0.wp.com/www.semanticscholar.org/img/semantic_scholar_og.png)
6. [PDF] Counting Triangles under Updates in Worst-Case Optimal Time
IVM counts all triangles in a static database in the worst-case optimal time for enumerating them. The preprocessing time is for computing the triangle count on ...
7. [PDF] The Worst-Case Execution Time Problem — Overview of Methods ...
The shortest execution time is called the best- case execution time (BCET), the longest time is called the worst-case execution time (WCET). In most cases the ...
8. How Fast Do We Need to Patch? - Security - Spiceworks Community
20 dec 2023 · ... bad patch”. I can only think of one Windows update that ever caused ... time as humanly possible, work on why, and how to improve. A ...
We need to re-think our whole patching expectation! According to Mandiant, 33% of all successful exploits involve unpatched software and firmware ( Patching Insights from Kevin Mandia of Google’s Mandiant | Action1) . The recent Comcast breach that exposed 36M customer records ( Comcast says hackers stole data of close to 36 million Xfinity customers | TechCrunch ) is begging the question of how fast do we need to patch after a security critical patch is released by the vendor? Comcast was ex...

9. Fully-Dynamic All-Pairs Shortest Paths: Likely Optimal Worst-Case Update ...
5 jun 2023 · ... time of \tilde O(n ^ {2 + 2 / 3}). It has been conjectured that no algorithm in O(n ^ {2.5 - \epsilon}) worst-case update time exists. For ...
The All-Pairs Shortest Paths (APSP) problem is one of the fundamental problems in theoretical computer science. It asks to compute the distance matrix of a given $n$-vertex graph. We revisit the classical problem of maintaining the distance matrix under a fully dynamic setting undergoing vertex insertions and deletions with a fast worst-case running time and efficient space usage. Although an algorithm with amortized update-time $\tilde O(n ^ 2)$ has been known for nearly two decades [Demetrescu and Italiano, STOC 2003], the current best algorithm for worst-case running time with efficient space usage runs is due to [Gutenberg and Wulff-Nilsen, SODA 2020], which improves the space usage of the previous algorithm due to [Abraham, Chechik, and Krinninger, SODA 2017] to $\tilde O(n ^ 2)$ but fails to improve their running time of $\tilde O(n ^ {2 + 2 / 3})$. It has been conjectured that no algorithm in $O(n ^ {2.5 - ε})$ worst-case update time exists. For graphs without negative cycles, we meet this conjectured lower bound by introducing a Monte Carlo algorithm running in randomized $\tilde O(n ^ {2.5})$ time while keeping the $\tilde O(n ^ 2)$ space bound from the previous algorithm. Our breakthrough is made possible by the idea of ``hop-dominant shortest paths,'' which are shortest paths with a constraint on hops (number of vertices) that remain shortest after we relax the constraint by a constant factor.

10. Patch Notes - Overwatch 2 - Blizzard Entertainment
Tuning changes to reduce queue times for Wide matches in Competitive Play. Loss Streak avoidance tuned down to prevent cases where it could increase worst case ...
Read the latest Overwatch patch notes or research historical changes to the game
