A (3/2+ 1/e)-approximation algorithm for Ordered TSP

S Armbruster, M Mnich, M Nägele - … Optimization. Algorithms and …, 2024 - drops.dagstuhl.de
Abstract We present a new (3/2+ 1/e)-approximation algorithm for the Ordered Traveling
Salesperson Problem (Ordered TSP). Ordered TSP is a variant of the classic metric …

Learning-Augmented Energy-Aware List Scheduling for Precedence-Constrained Tasks

Y Su, V Anand, J Yu, J Tan, A Wierman - ACM Transactions on Modeling …, 2024 - dl.acm.org
We study the problem of scheduling precedence-constrained tasks to balance between
performance and energy consumption. We consider a system with multiple servers capable …

Scheduling with communication delays via LP hierarchies and clustering II: weighted completion times on related machines

S Davies, J Kulkarni, T Rothvoss, J Tarnawski… - Proceedings of the 2021 …, 2021 - SIAM
We consider the problem of scheduling jobs with precedence constraints on related
machines to minimize the weighted sum of completion times, in the presence of …

Scheduling precedence-constrained jobs on related machines with communication delay

B Maiti, R Rajaraman, D Stalfa… - 2020 IEEE 61st …, 2020 - ieeexplore.ieee.org
We consider the problem of scheduling precedence-constrained jobs on uniformly-related
machines in the presence of an arbitrary, fixed communication delay. Communication delay …

A quasi-polynomial time algorithm for Multi-Dimensional Scaling via LP hierarchies

A Bakshi, V Cohen-Addad, SB Hopkins… - arXiv preprint arXiv …, 2023 - arxiv.org
Multi-dimensional Scaling (MDS) is a family of methods for embedding pair-wise
dissimilarities between $ n $ objects into low-dimensional space. MDS is widely used as a …

Scheduling with communication delay in near-linear time

QC Liu, M Purohit, Z Svitkina, E Vee… - arXiv preprint arXiv …, 2021 - arxiv.org
We consider the problem of efficiently scheduling jobs with precedence constraints on a set
of identical machines in the presence of a uniform communication delay. Such precedence …

Server Cloud Scheduling

M Maack, F Meyer auf der Heide, S Pukrop - Algorithmica, 2024 - Springer
Consider a set of jobs connected to a directed acyclic task graph with a fixed source and
sink. The edges of this graph model precedence constraints and the jobs have to be …

A -Approximation Algorithm for Ordered TSP

S Armbruster, M Mnich, M Nägele - arXiv preprint arXiv:2405.06244, 2024 - arxiv.org
We present a new $(\frac32+\frac1 {\mathrm {e}}) $-approximation algorithm for the Ordered
Traveling Salesperson Problem (Ordered TSP). Ordered TSP is a variant of the classical …

Communication-aware scheduling of precedence-constrained tasks on related machines

Y Su, S Vardi, X Ren, A Wierman - Operations Research Letters, 2023 - Elsevier
Scheduling precedence-constrained tasks is a classical problem that has been studied for
more than fifty years. However, little progress has been made in the setting where there are …

On the hardness of scheduling with non-uniform communication delays

S Davies, J Kulkarni, T Rothvoss, S Sandeep… - Proceedings of the 2022 …, 2022 - SIAM
In the problem of scheduling with non-uniform communication delays, the input is a set of
jobs with precedence constraints. Associated with every precedence constraint between a …