2007
DOI: 10.1016/j.ejor.2006.07.028
|View full text |Cite
|
Sign up to set email alerts
|

The tool switching problem revisited

Abstract: In this note we study the complexity of the tool switching problem with non-uniform tool sizes. More specifically, we consider the problem where the job sequence is given as part of the input. We show that the resulting tooling problem is strongly NP-complete, even in case of unit loading and unloading costs. However, we show that if the capacity of the tool magazine is also given as part of the input, the problem is solvable in polynomial time.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

0
9
0
2

Year Published

2008
2008
2018
2018

Publication Types

Select...
6
1
1

Relationship

0
8

Authors

Journals

citations
Cited by 24 publications
(11 citation statements)
references
References 18 publications
0
9
0
2
Order By: Relevance
“…Model) and solution approaches for solving the SSP both exactly and heuristically exist. However, since the uniform SSP has already been proven to be NP-hard by Crama et al (2007), solving the SSP becomes inefficient for larger problem instances with more jobs and tools, as well as for complex problem structures. Thus, particular attention was given to meta-heuristics other than exact and classic heuristic strategies because they have been among the most promising techniques for the past three decades.…”
Section: Tool Switching Solution Methodsmentioning
confidence: 99%
“…Model) and solution approaches for solving the SSP both exactly and heuristically exist. However, since the uniform SSP has already been proven to be NP-hard by Crama et al (2007), solving the SSP becomes inefficient for larger problem instances with more jobs and tools, as well as for complex problem structures. Thus, particular attention was given to meta-heuristics other than exact and classic heuristic strategies because they have been among the most promising techniques for the past three decades.…”
Section: Tool Switching Solution Methodsmentioning
confidence: 99%
“…, m) and all tool switches share the same cost. Crama et al [6] generalized these results by demonstrating that the KTNS policy is still optimal in case of arbitrary setup costs b k for each tool k(k = 1, . .…”
Section: Introductionmentioning
confidence: 95%
“…Tang and Denardo [8] studied the general case and proved it is NP-Hard for c ≥ 2. Several heuristics have been proposed for the SSP (Bard [4], Tang and Denardo [8], Kiran and Krason [15], Oerlemans [18], Gray et al [12], Crama et al [6], Follonier [11], Sodhi and coworkers [1], Hertz and Widmer [14], Avci and Akturk [3], Hertz et al [13], Knuutila et al [16]). However, to our knowledge, the only exact algorithms are due to Laporte et al [17] if one excludes an Integer Linear Programming (ILP) formulation proposed by Tang and Denardo [8].…”
Section: Introductionmentioning
confidence: 99%
“…In addition, the material-location selection problem deals with multiple consumable materials in which each material consists of multiple items or pallets and can be stored in multiple locations. For more details on of the tool switching problem, refer to surveys by Tang and Denardo (1988), Matzliach and Tzur (2000) and Crama et al, 2007. Finally, refer to Rouwenhorst et al (2000 and Gu et al (2007Gu et al ( , 2010 for comprehensive summaries on the current state-of-the-art for warehouse design and management.…”
Section: Introductionmentioning
confidence: 98%