Parameterized complexity of machine scheduling: 15 open problems

Matthias Mnich; René van Bevern

doi:10.1016/j.cor.2018.07.020

Parameterized complexity of machine scheduling: 15 open problems

Matthias Mnich, René van Bevern

Research output: Contribution to journal › Review article › peer-review

15 Citations (Scopus)

Abstract

Machine scheduling problems are a long-time key domain of algorithms and complexity research. A novel approach to machine scheduling problems are fixed-parameter algorithms. To stimulate this thriving research direction, we propose 15 open questions in this area whose resolution we expect to lead to the discovery of new approaches and techniques both in scheduling and parameterized complexity theory. (C) 2018 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	254-261
Number of pages	8
Journal	Computers and Operations Research
Volume	100
DOIs	https://doi.org/10.1016/j.cor.2018.07.020
Publication status	Published - 1 Dec 2018

Keywords

Makespan
Number of tardy jobs
Parallel machines
Shop scheduling
Throughput
Total completion time
Total tardiness
MULTIVARIATE ALGORITHMICS
WEIGHTED NUMBER
TASKS
MAKESPAN MINIMIZATION
OPEN SHOPS
LATE JOBS
MEAN FLOW TIME
FORBIDDEN START

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10.1016/j.cor.2018.07.020

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title = "Parameterized complexity of machine scheduling: 15 open problems",

abstract = "Machine scheduling problems are a long-time key domain of algorithms and complexity research. A novel approach to machine scheduling problems are fixed-parameter algorithms. To stimulate this thriving research direction, we propose 15 open questions in this area whose resolution we expect to lead to the discovery of new approaches and techniques both in scheduling and parameterized complexity theory. (C) 2018 Elsevier Ltd. All rights reserved.",

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T1 - Parameterized complexity of machine scheduling

T2 - 15 open problems

AU - Mnich, Matthias

AU - van Bevern, René

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N2 - Machine scheduling problems are a long-time key domain of algorithms and complexity research. A novel approach to machine scheduling problems are fixed-parameter algorithms. To stimulate this thriving research direction, we propose 15 open questions in this area whose resolution we expect to lead to the discovery of new approaches and techniques both in scheduling and parameterized complexity theory. (C) 2018 Elsevier Ltd. All rights reserved.

AB - Machine scheduling problems are a long-time key domain of algorithms and complexity research. A novel approach to machine scheduling problems are fixed-parameter algorithms. To stimulate this thriving research direction, we propose 15 open questions in this area whose resolution we expect to lead to the discovery of new approaches and techniques both in scheduling and parameterized complexity theory. (C) 2018 Elsevier Ltd. All rights reserved.

KW - Makespan

KW - Number of tardy jobs

KW - Parallel machines

KW - Shop scheduling

KW - Throughput

KW - Total completion time

KW - Total tardiness

KW - MULTIVARIATE ALGORITHMICS

KW - WEIGHTED NUMBER

KW - TASKS

KW - MAKESPAN MINIMIZATION

KW - OPEN SHOPS

KW - LATE JOBS

KW - MEAN FLOW TIME

KW - FORBIDDEN START

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DO - 10.1016/j.cor.2018.07.020

M3 - Review article

AN - SCOPUS:85051547881

VL - 100

SP - 254

EP - 261

JO - Computers and Operations Research

JF - Computers and Operations Research

SN - 0305-0548

ER -