2016
DOI: 10.1111/itor.12316
|View full text |Cite
|
Sign up to set email alerts
|

Analysis of stochastic local search methods for the unrelated parallel machine scheduling problem

Abstract: This work addresses the unrelated parallel machine scheduling problem with sequence‐dependent setup times, in which a set of jobs must be scheduled for execution by one of the several available machines. Each job has a machine‐dependent processing time. Furthermore, given multiple jobs, there are additional setup times, which vary based on the sequence and machine employed. The objective is to minimize the schedule's completion time (makespan). The problem is NP‐hard and of significant practical relevance. The… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
38
0
1

Year Published

2017
2017
2023
2023

Publication Types

Select...
7
1
1

Relationship

0
9

Authors

Journals

citations
Cited by 40 publications
(39 citation statements)
references
References 24 publications
0
38
0
1
Order By: Relevance
“…In the second step, the savings list obtained in the CWS heuristic is randomized using a geometric probability distribution (Juan et al., , ; Dominguez et al., ). There are different approaches for randomizing a heuristic with the goal of better exploring the solutions space (Hemmati and Hvattum, ; Santos et al., ). One of these is the use of GRASP (Resende and Ribeiro, ).…”
Section: Overview Of Our Solution Methodologymentioning
confidence: 99%
“…In the second step, the savings list obtained in the CWS heuristic is randomized using a geometric probability distribution (Juan et al., , ; Dominguez et al., ). There are different approaches for randomizing a heuristic with the goal of better exploring the solutions space (Hemmati and Hvattum, ; Santos et al., ). One of these is the use of GRASP (Resende and Ribeiro, ).…”
Section: Overview Of Our Solution Methodologymentioning
confidence: 99%
“…So far, the SA algorithm is still receiving great attention due to its special strategy. e detail procedure of the standard SA is summarized in Algorithm 1 [20]. In Algorithm 1, f(·) is the objective function and N H (·) is a function that returns a random neighbor solution to neighborhood structure H.…”
Section: Brief Of the Simulated Annealing Algorithmmentioning
confidence: 99%
“…Choose the K largest elements from x ij as I temp ; (16) Calculate δ � f(I temp ) − f(I ij ); (17) if δ < 0 then (18) I temp � I temp (19) else (20) Calculate β � min(1, exp(−(abs(δ))/T 0 )) (21)…”
Section: Theorem 1 Suppose the Support Set I Is The Unique Solution mentioning
confidence: 99%
“…Santos et al. () applied four different stochastic local search based heuristics, including an ILS, to tackle an unrelated parallel machines problem with a deterioration factor, in which the performance of the machines gets worse as the jobs are executed. The work details the algorithms tuning process and indicates that they outperform two of the best current algorithms for that problem.…”
Section: Solution Proceduresmentioning
confidence: 99%