Name
Title | ||
|---|---|---|
Fuzzy extensions to Integer Programming models of cell-formation problems in machine scheduling |
Abstract | ||
|---|---|---|
Cell formation has received much attention from academicians and practitioners because of its strategic importance to modern
manufacturing practices. Existing research on cell formation problems using integer programming (IP) has achieved the target
of solving problems that simultaneously optimise: (a) cell formation, (b) machine-cell allocation, and (c) part-machine allocation.
This paper will present extensions of the IP model where part-machine assignment and cell formation are addressed simultaneously,
and also a significant number of constraints together with an enhanced objective function are considered. The main study examines
the integration of inter-cell movements of parts and machine set-up costs within the objective function, and also the combination
of machine set-up costs associated with parts revisiting a cell when part machine operation sequence is taken into account.
The latter feature incorporates a key set of constraints which identify the number of times a part travels back to a cell
for a later machine operation.
Due to two main drawbacks of IP modelling for cell formation, i.e. (a) only one objective function can be involved and (b)
the decision maker is required to specify precisely goals and constraints, fuzzy elements like fuzzy constraints and fuzzy
goals will be considered in the proposed model.
Overall the paper will not only include an extended and enhanced integer programming model for assessing the performance of
cell formation, but also perform a rigorous study of fuzzy integer programming and demonstrate the feasibility of achieving
better and faster clustering results using fuzzy theory. |
Year | DOI | Venue |
|---|---|---|
2009 | https://doi.org/10.1007/s10479-008-0423-1 | Annals of Operations Research |
Keywords | Field | DocType |
Cellular manufacturing system,Machine operation sequence,Integer programming,Uncertainty,Fuzzy models | Cell formation,Mathematical optimization,Machine scheduling,Defuzzification,Fuzzy set operations,Computer science,Fuzzy logic,Integer programming,Fuzzy number | Journal |
Volume | Issue | ISSN |
166 | 1 | 0254-5330 |
Citations | PageRank | References |
5 | 0.53 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Grammatoula Papaioannou | 1 | 45 | 2.91 |
| J. M. Wilson | 2 | 5 | 0.53 |