Fixed interval scheduling: Models, applications, computational complexity and algorithms

MY Kovalyov, CT Ng, TCE Cheng - European journal of operational …, 2007 - Elsevier
The defining characteristic of fixed interval scheduling problems is that each job has a finite
number of fixed processing intervals. A job can be processed only in one of its intervals on …

A constant-factor approximation algorithm for unsplittable flow on paths

P Bonsma, J Schulz, A Wiese - SIAM journal on computing, 2014 - SIAM
In the unsplittable flow problem on a path, we are given a capacitated path P and n tasks,
each task having a demand, a profit, and start and end vertices. The goal is to compute a …

A combinatorial flow-based formulation for temporal bin packing problems

J Martinovic, N Strasdat, JV de Carvalho… - European Journal of …, 2023 - Elsevier
We consider two neighboring generalizations of the classical bin packing problem: the
temporal bin packing problem (TBPP) and the temporal bin packing problem with fire-ups …

Proactive bandwidth allocation for v2x networks with multi-attentional deep graph learning

C Wang, J Peng, L Cai, W Liu, S Li… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
The increasing number of connected vehicles exacerbates the scarcity of spectrum
resources in vehicle-to-everything (V2X) communication. To optimize the utilization of …

A PTAS for unsplittable flow on a path

F Grandoni, T Mömke, A Wiese - Proceedings of the 54th annual ACM …, 2022 - dl.acm.org
In the Unsplittable Flow on a Path problem (UFP) we are given a path with edge capacities,
and a set of tasks where each task is characterized by a subpath, a demand, and a weight …

Integer optimization models and algorithms for the multi-period non-shareable resource allocation problem

J Park, J Han, K Lee - European Journal of Operational Research, 2024 - Elsevier
The resource allocation problem (RAP) determines a solution to optimally allocate limited
resources to several activities or tasks. In this study, we propose a novel resource allocation …

Improved approximation algorithms for resource allocation

G Calinescu, A Chakrabarti, H Karloff… - Integer Programming and …, 2002 - Springer
We study the problem of finding a most profitable subset of n given tasks, each with a given
start and finish time as well as profit and resource requirement, that at no time exceeds the …

Optimal interval scheduling with a resource constraint

E Angelelli, N Bianchessi, C Filippi - Computers & operations research, 2014 - Elsevier
We consider a scheduling problem where n jobs have to be carried out by m parallel
identical machines. The attributes of a job j are a fixed start time sj, a fixed finish time fj, a …

A mazing 2+ ε approximation for unsplittable flow on a path

A Anagnostopoulos, F Grandoni, S Leonardi… - ACM Transactions on …, 2018 - dl.acm.org
We study the problem of unsplittable flow on a path (UFP), which arises naturally in many
applications such as bandwidth allocation, job scheduling, and caching. Here we are given …

A (5/3+ ε)-approximation for unsplittable flow on a path: placing small tasks into boxes

F Grandoni, T Mömke, A Wiese, H Zhou - Proceedings of the 50th annual …, 2018 - dl.acm.org
In the unsplittable flow on a path problem (UFP) we are given a path with edge capacities
and a collection of tasks. Each task is characterized by a subpath, a profit, and a demand …