Abstract
In this paper, a mathematical model with a weighted multi-objective function is formulated to find the machine cells and part families in a cell formation problem. Three considered objectives are minimizing the total number of exceptional elements and voids and total forming costs of cells. These objectives are combined with giving weights to them. Simultaneously minimizing both of exceptional elements and voids within the objective function makes a trade-off between inter-cell and intra-cell movements to decrease the dependence of cells and to increase the utilization of the machines. The proposed model has the advantage of finding the optimal number of cells which has not yet considered in the most studies implemented in the literature of cell formation problem. This feature provides the flexibility for the model to from cells in different numbers to reach the minimum sum of exceptional elements and voids. Several numerical test problems taken from the literature are performed to verify the performance of the proposed model in comparison to the previous models. The numerical examples show that obtained results are better than those in the literature in terms of the sum of exceptional elements and voids or grouping efficacy.
Original language | English |
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State | Published - 2015 |
Event | 45th International Conference on Computers and Industrial Engineering, CIE 2015 - Metz, France Duration: 28 Oct 2015 → 30 Oct 2015 |
Conference
Conference | 45th International Conference on Computers and Industrial Engineering, CIE 2015 |
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Country/Territory | France |
City | Metz |
Period | 28/10/15 → 30/10/15 |
Keywords
- Cell formation problem
- Exceptional elements
- Mathematical model
- Voids