Investigating the Recoverable Robust Single Machine Scheduling Problem Under Interval Uncertainty

Bold, Matthew and Goerigk, Marc (2022) Investigating the Recoverable Robust Single Machine Scheduling Problem Under Interval Uncertainty. Discrete Applied Mathematics, 313. pp. 99-114. ISSN 0166-218X

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Abstract

We investigate the recoverable robust single machine scheduling problem under interval uncertainty. In this setting, jobs have first-stage processing times p and second-stage processing times q and we aim to find a first-stage and second-stage schedule with a minimum combined sum of completion times, such that at least \Delta jobs share the same position in both schedules. We provide positive complexity results for some important special cases of this problem, as well as derive a 2-approximation algorithm to the full problem. Computational experiments examine the performance of an exact mixed-integer programming formulation and the approximation algorithm, and demonstrate the strength of a proposed polynomial time greedy heuristic.

Item Type:
Journal Article
Journal or Publication Title:
Discrete Applied Mathematics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2604
Subjects:
ID Code:
167790
Deposited By:
Deposited On:
21 Mar 2022 14:10
Refereed?:
Yes
Published?:
Published
Last Modified:
21 May 2022 00:52