Minimizing worst-case and average-case makespan over scenarios |
| |
Authors: | Esteban Feuerstein Alberto Marchetti-Spaccamela Frans Schalekamp René Sitters Suzanne van der Ster Leen Stougie Anke van Zuylen |
| |
Affiliation: | 1.Universidad de Buenos Aires,Buenos Aires,Argentina;2.Sapienza Università di Roma,Rome,Italy;3.Cornell University,Ithaca,USA;4.Vrije Universiteit & CWI,Amsterdam,The Netherlands;5.Technische Universit?t München,Munich,Germany;6.College of William and Mary,Williamsburg,USA |
| |
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 scenarios in an explicitly given set. Each scenario is a subset of jobs that must be executed in that scenario. 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. We also consider some (easier) special cases. Combinatorial optimization problems under scenarios in general, and scheduling problems under scenarios in particular, have seen only limited research attention so far. With this paper, we make a step in this interesting research direction. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|