English

Scheduling over Scenarios on Two Machines

Data Structures and Algorithms 2014-04-21 v1

Abstract

We consider scheduling problems over scenarios where the goal is to find a single assignment of the jobs to the machines which performs well over all possible scenarios. Each scenario is a subset of jobs that must be executed in that scenario and all scenarios are given explicitly. The two objectives that we consider are minimizing the maximum makespan over all scenarios and minimizing the sum of the makespans of all scenarios. For both versions, we give several approximation algorithms and lower bounds on their approximability. With this research into optimization problems over scenarios, we have opened a new and rich field of interesting problems.

Keywords

Cite

@article{arxiv.1404.4766,
  title  = {Scheduling over Scenarios on Two Machines},
  author = {Esteban Feuerstein and Alberto Marchetti-Spaccamela and Frans Schalekamp and Rene Sitters and Suzanne van der Ster and Leen Stougie and Anke van Zuylen},
  journal= {arXiv preprint arXiv:1404.4766},
  year   = {2014}
}

Comments

To appear in COCOON 2014. The final publication is available at link.springer.com

R2 v1 2026-06-22T03:53:40.942Z