Scheduling two agents on a single machine: A parameterized analysis of NP-hard problems

Danny Hermelin (Corresponding author), Judith Madeleine Kubitza (Corresponding author), Dvir Shabtay (Corresponding author), Nimrod Talmon (Corresponding author), Gerhard J. Woeginger (Corresponding author)

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)
1 Downloads (Pure)

Abstract

Scheduling theory is a well-established area in combinatorial optimization, whereas the much younger area of parameterized complexity has only recently gained the attention of the scheduling community. Our aim is to bring these two fields closer together by studying the parameterized complexity of a class of two-agent single-machine scheduling problems. Our analysis focuses on the case where the number of jobs belonging to the second agent is considerably smaller than the number of jobs belonging to the first agent and thus can be considered as a fixed parameter k. We study a variety of combinations of scheduling criteria for the two agents and for each such combination we determine its parameterized complexity with respect to the parameter k. The scheduling criteria that we analyze include the total weighted completion time, the total weighted number of tardy jobs, and the total weighted number of just-in-time jobs. Our analysis determines the border between tractable and intractable variants of these problems.

Original languageEnglish
Pages (from-to)275-286
Number of pages12
JournalOmega : The International Journal of Management Science
Volume83
DOIs
Publication statusPublished - 1 Mar 2019

Fingerprint

Dive into the research topics of 'Scheduling two agents on a single machine: A parameterized analysis of NP-hard problems'. Together they form a unique fingerprint.

Cite this