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Energy-efficient scheduling with predictions
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 …
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
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 …
no improvement possible in the general case. We take the approach of exploiting problem …
Scheduling and fixed-parameter tractability
Fixed-parameter tractability analysis and scheduling are two core domains of combinatorial
optimization which led to deep understanding of many important algorithmic questions …
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 …
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
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 …
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 …
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
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 …
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
Weighted geometric set-cover problems arise naturally in several geometric and
nongeometric settings (eg, the breakthrough of Bansal and Pruhs Proceedings of FOCS …
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 …
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
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 …
1||∑f_j: we are given n jobs to be scheduled on a single machine, where each job j has an …