SIGACT News Online Algorithms Column 37

2021 ◽  
Vol 52 (2) ◽  
pp. 71-71
Author(s):  
Rob van Stee

For this issue, Pavel Vesely has contributed a wonderful overview of the ideas that were used in his SODA paper on packet scheduling with Marek Chrobak, Lukasz Jez and Jiri Sgall. This is a problem for which a 2-competitive algorithm as well as a lower bound of ϕ ≈ 1:618 was known already twenty years ago, but which resisted resolution for a long time. It is great that this problem has nally been resolved and that Pavel was willing to explain more of the ideas behind it for this column. He also provides an overview of open problems in this area.

2016 ◽  
Vol 47 (2) ◽  
pp. 40-51 ◽  
Author(s):  
Rob van Stee

2012 ◽  
Vol 43 (4) ◽  
pp. 123-129
Author(s):  
Rob van Stee

2015 ◽  
Vol 46 (2) ◽  
pp. 105-112 ◽  
Author(s):  
Rob van Stee

2021 ◽  
Vol 52 (2) ◽  
pp. 72-84
Author(s):  
Pavel Veselý

Online packet scheduling with deadlines is one of the fundamental models in buffer management. Recently, the author together with Chrobak, Jez, and Sgall (SODA 2019) designed an optimal ϕ-competitive algorithm for this problem, where ϕ ≈1.618 is the golden ratio. In this column, we sketch ideas that led us to the development of this algorithm and outline the concepts in its analysis. We also highlight open questions in packet scheduling.


2010 ◽  
Vol 41 (4) ◽  
pp. 114-121 ◽  
Author(s):  
Marek Chrobak

2017 ◽  
Vol 48 (4) ◽  
pp. 100-109 ◽  
Author(s):  
Rob van Stee

1977 ◽  
Vol 17 (3) ◽  
pp. 375-389 ◽  
Author(s):  
Walter D. Neumann

It is shown how George D. Birkhoff's proof of the Poincaré Birkhoff theorem can be modified using ideas of H. Poincaré to give a rather precise lower bound on the number of components of the set of periodic points of the annulus. Some open problems related to this theorem are discussed.


2016 ◽  
Vol 47 (3) ◽  
pp. 92-92
Author(s):  
Rob van Stee

2018 ◽  
Vol 49 (4) ◽  
pp. 36-45
Author(s):  
Rob van Stee

Sign in / Sign up

Export Citation Format

Share Document