Worst Case Analysis of Batch Arrivals with the Increasing Convex Ordering

2006 ◽  
pp. 196-210 ◽  
Author(s):  
Ana Bušić ◽  
Jean-Michel Fourneau ◽  
Nihal Pekergin
Keyword(s):  
Case Analysis ◽  
Worst Case Analysis ◽  
Worst Case ◽  
Batch Arrivals ◽  
Convex Ordering ◽  
Increasing Convex Ordering

Hierarchical Programming for Worst-Case Analysis of Power Grids

2018 ◽  
Author(s):  
Hatim Djelassi ◽  
Stephane Fliscounakis ◽  
Alexander Mitsos ◽  
Patrick Panciatici
Keyword(s):  
Case Analysis ◽  
Power Grids ◽  
Worst Case Analysis ◽  
Worst Case

Formal Worst-Case Analysis of Crosstalk Noise in Mesh-Based Optical Networks-on-Chip

2013 ◽  
Vol 21 (10) ◽  
pp. 1823-1836 ◽  
Author(s):  
Yiyuan Xie ◽  
Mahdi Nikdast ◽  
Jiang Xu ◽  
Xiaowen Wu ◽  
Wei Zhang ◽  
...  
Keyword(s):  
Optical Networks ◽  
Case Analysis ◽  
Worst Case Analysis ◽  
Crosstalk Noise ◽  
Worst Case ◽  
Networks On Chip ◽  
On Chip

Worst-case Analysis of Autonomous Rendezvous Systems

2010 ◽  
Vol 43 (15) ◽  
pp. 321-326 ◽  
Author(s):  
Wenfei Wang ◽  
Prathyush P. Menon ◽  
Nuno M. Gomes Paulino ◽  
Emanuele Di Sotto ◽  
Sohrab Salehi ◽  
...  
Keyword(s):  
Case Analysis ◽  
Worst Case Analysis ◽  
Worst Case ◽  
Autonomous Rendezvous

scholarly journals Average-Case Approximation Ratio of Scheduling without Payments

Algorithmica ◽  
2021 ◽  
Author(s):  
Jie Zhang
Keyword(s):  
Mechanism Design ◽  
Case Analysis ◽  
Theoretical Computer Science ◽  
Approximation Ratio ◽  
Approximation Schemes ◽  
Worst Case Analysis ◽  
Algorithmic Mechanism Design ◽  
Worst Case ◽  
Average Case ◽  
Optimal Mechanism

AbstractApart from the principles and methodologies inherited from Economics and Game Theory, the studies in Algorithmic Mechanism Design typically employ the worst-case analysis and design of approximation schemes of Theoretical Computer Science. For instance, the approximation ratio, which is the canonical measure of evaluating how well an incentive-compatible mechanism approximately optimizes the objective, is defined in the worst-case sense. It compares the performance of the optimal mechanism against the performance of a truthful mechanism, for all possible inputs. In this paper, we take the average-case analysis approach, and tackle one of the primary motivating problems in Algorithmic Mechanism Design—the scheduling problem (Nisan and Ronen, in: Proceedings of the 31st annual ACM symposium on theory of computing (STOC), 1999). One version of this problem, which includes a verification component, is studied by Koutsoupias (Theory Comput Syst 54(3):375–387, 2014). It was shown that the problem has a tight approximation ratio bound of $$(n+1)/2$$ ( n + 1 ) / 2 for the single-task setting, where n is the number of machines. We show, however, when the costs of the machines to executing the task follow any independent and identical distribution, the average-case approximation ratio of the mechanism given by Koutsoupias (Theory Comput Syst 54(3):375–387, 2014) is upper bounded by a constant. This positive result asymptotically separates the average-case ratio from the worst-case ratio. It indicates that the optimal mechanism devised for a worst-case guarantee works well on average.

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