Mathematical programming and graph theoretic methods for cell formation

1996 ◽  
pp. 97-127
Author(s):  
Nanua Singh ◽  
Divakar Rajamani
Keyword(s):  
Mathematical Programming ◽  
Cell Formation ◽  
Graph Theoretic

Fuzzy and stochastic mathematical programming for optimisation of cell formation problems in random and uncertain states

2015 ◽  
Vol 22 (2) ◽  
pp. 129 ◽  
Author(s):  
Ali Azadeh ◽  
Mohsen Moghaddam ◽  
Babak Nazari Doust ◽  
Fatemeh Jalalvand
Keyword(s):  
Mathematical Programming ◽  
Cell Formation

Design of Cellular Manufacturing Systems

1992 ◽  
Vol 114 (3) ◽  
pp. 352-361 ◽  
Author(s):  
S. A. Irani ◽  
P. H. Cohen ◽  
T. M. Cavalier
Keyword(s):  
Manufacturing Systems ◽  
Material Handling ◽  
Family Formation ◽  
Cellular Manufacturing ◽  
Cell Formation ◽  
Layout Design ◽  
Simultaneous Formation ◽  
Part Family ◽  
Machine Grouping ◽  
Graph Theoretic

This paper describes a method for layout design of a Cellular Manufacturing System (CMS) that would allow simultaneously, the grouping of machines unique to a part family into cells and those shared by several cells to be located together in functional sections. Using an illustrative example, this integration of the flexibility of a functional layout, the reduced handling gained from cell formation and allowance of limited intercell flows among adjacent cells is described. Thereby, the traditional strategy of simultaneous formation of part families and distribution of machines into independent cells which creates machine distribution and unbalanced utilization problems is avoided. This is justified by an analysis of the complex interactions between the critical subproblems in cell formation—machine grouping, part family formation, distribution and utilization of shared machines, intracell layout, intercell (or shop) layout and material handling. This approach represents a new direction in cell formation where, by allowing the handling function to limit the extent of machine duplication between adjacent cells, a new graph theoretic structure for simultaneous machine grouping and layout design was developed and validated.

scholarly journals A Mathematical Programming Model for Cell Formation Problem with Machine Replication

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Reza Raminfar ◽  
Norzima Zulkifli ◽  
Mohammadreza Vasili
Keyword(s):  
Mathematical Programming ◽  
Programming Model ◽  
Cell Formation ◽  
Performance Measure ◽  
Cell Formation Problem ◽  
Mathematical Programming Model ◽  
Solution Quality ◽  
Formation Problem ◽  
Proposed Model ◽  
Size Limits

Cell formation (CF) is a crucial aspect in the design of cellular manufacturing (CM) systems. This paper develops a comprehensive mathematical programming model for the cell formation problem, where product demands, cell size limits, sequence of operations, multiple units of identical machines, machine capacity, or machine cost are all considered. In this model, the intercell moves are restricted to be unidirectional from one cell to the downstream cells, without backtracking. The proposed model is investigated through several numerical examples. To evaluate the solution quality of the proposed model, it is compared with some well-known cell formation methods from the literature, by using group capability index (GCI) as a performance measure. The results and comparisons indicate that the proposed model produces solution with a higher performance.

Influence of Heat Treatments on Microstructures in an Fe-Co-V Alloy

1974 ◽  
Vol 32 ◽  
pp. 512-513
Author(s):  
S. Mahajan ◽  
M. R. Pinnel ◽  
J. E. Bennett
Keyword(s):  
Single Phase ◽  
Alloy Composition ◽  
Supersaturated Solid Solution ◽  
Cell Formation ◽  
Heat Treatments ◽  
Air Cooling ◽  
Iced Brine ◽  
Transmission Electron ◽  
The Matrix ◽  
Bcc Structure

The microstructural changes in an Fe-Co-V alloy (composition by wt.%: 2.97 V, 48.70 Co, 47.34 Fe and balance impurities, such as C, P and Ni) resulting from different heat treatments have been evaluated by optical metallography and transmission electron microscopy. Results indicate that, on air cooling or quenching into iced-brine from the high temperature single phase ϒ (fcc) field, vanadium can be retained in a supersaturated solid solution (α2) which has bcc structure. For the range of cooling rates employed, a portion of the material appears to undergo the γ-α2 transformation massively and the remainder martensitically. Figure 1 shows dislocation topology in a region that may have transformed martensitically. Dislocations are homogeneously distributed throughout the matrix, and there is no evidence for cell formation. The majority of the dislocations project along the projections of <111> vectors onto the (111) plane, implying that they are predominantly of screw character.

EM of human atherosclerosis: Aortic fatty streaks with transitional lesion features

1992 ◽  
Vol 50 (1) ◽  
pp. 622-623
Author(s):  
K. Florian Klemp ◽  
J.R. Guyton
Keyword(s):  
Foam Cell ◽  
Cell Formation ◽  
Processing Technique ◽  
Foam Cell Formation ◽  
Tissue Preparation ◽  
Electron Microscopic ◽  
Extracellular Lipid ◽  
Electron Microscopic Cytochemistry ◽  
Human Atherosclerosis ◽  
Clinically Significant

The earliest distinctive lesions in human atherosclerosis are fatty streaks (FS), characterized initially by lipid-laden foam cell formation. Fibrous plaques (FP), the clinically significant lesions, differ from FS in several respects. In addition to foam cells, the FP also exhibit fibromuscular proliferation and a necrotic core region rich in extracellular lipid. The possible transition of FS into mature FP has long been debated, however. A subset of FS described by Katz etal., was intermediate in lipid composition between ordinary FS and FP. We investigated this hypothesis by electron microscopic cytochemistry by employing a tissue processing technique previously described by our laboratory. Osmium-tannic acid-paraphenylenediamine (OTAP) tissue preparation enabled ultrastructural analysis of lipid deposits to discern features characteristic of mature fibrous plaques.

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