Energy-efficient scheduling with predictions

E Balkanski, N Perivier, C Stein… - Advances in Neural …, 2023 - proceedings.neurips.cc
An important goal of modern scheduling systems is to efficiently manage power usage. In
energy-efficient scheduling, the operating system controls the speed at which a machine is …

Weighted capacitated, priority, and geometric set cover via improved quasi-uniform sampling

TM Chan, E Grant, J Könemann, M Sharpe - … of the twenty-third annual ACM …, 2012 - SIAM
The minimum-weight set cover problem is widely known to be O (log n)-approximable, with
no improvement possible in the general case. We take the approach of exploiting problem …

Scheduling and fixed-parameter tractability

M Mnich, A Wiese - Mathematical Programming, 2015 - Springer
Fixed-parameter tractability analysis and scheduling are two core domains of combinatorial
optimization which led to deep understanding of many important algorithmic questions …

Scheduling to minimize total weighted completion time via time-indexed linear programming relaxations

S Li - SIAM Journal on Computing, 2020 - SIAM
We study approximation algorithms for problems of scheduling precedence constrained jobs
with the objective of minimizing total weighted completion time, in identical and related …

[HTML][HTML] Exact algorithms and APX-hardness results for geometric packing and covering problems

TM Chan, E Grant - Computational Geometry, 2014 - Elsevier
We study several geometric set cover and set packing problems involving configurations of
points and geometric objects in Euclidean space. We show that it is APX-hard to compute a …

A PTAS for the weighted unit disk cover problem

J Li, Y ** - International Colloquium on Automata, Languages …, 2015 - Springer
We are given a set of weighted unit disks and a set of points in Euclidean plane. The
minimum weight unit disk cover (WUDC) problem asks for a subset of disks of minimum total …

New approximation schemes for unsplittable flow on a path

J Batra, N Garg, A Kumar, T Mömke, A Wiese - … of the twenty-sixth annual ACM …, 2014 - SIAM
We study the unsplittable flow on a path problem which has received a lot of attention in the
research community recently. Given is a path with capacities on its edges and a set of tasks …

Quasi-polynomial time approximation scheme for weighted geometric set cover on pseudodisks and halfspaces

NH Mustafa, R Raman, S Ray - SIAM Journal on Computing, 2015 - SIAM
Weighted geometric set-cover problems arise naturally in several geometric and
nongeometric settings (eg, the breakthrough of Bansal and Pruhs Proceedings of FOCS …

Dual techniques for scheduling on a machine with varying speed

N Megow, J Verschae - SIAM Journal on Discrete Mathematics, 2018 - SIAM
We study scheduling problems on a machine with varying speed. Assuming a known speed
function we ask for a cost-efficient scheduling solution. Our main result is a polynomial-time …

A primal-dual approximation algorithm for min-sum single-machine scheduling problems

M Cheung, J Mestre, DB Shmoys, J Verschae - SIAM Journal on Discrete …, 2017 - SIAM
We consider the following single-machine scheduling problem, which is often denoted
1||∑f_j: we are given n jobs to be scheduled on a single machine, where each job j has an …