Manufacturing the Future 2012 Part 4

Tham khảo tài liệu 'manufacturing the future 2012 part 4', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Modular Machining Line Design and Reconfiguration Some Optimization Methods 141 The constraints aggregation is part of a pre-processing performed on the initial data about the problem it will lead to a single set of each type of constraints distinguished by the exponent pp acronym corresponding to preprocessing . The generation of the total precedence graph - a single one for the whole product family - by merging together the individual precedence graphs is the starting point in aggregating constraints. In the considered case this operation allows to identifying two circuits 2 5 2 and 11 10 12 11 due to contrary precedence relations between same operations in different individual graphs. Therefore two macro-operations are formed denoted by 2 5 and b 10 11 12 . The total precedence graph G defining a partial order relation on the new set of operations Npp 1 3 4 a b 5 6 7 8 13 is shown in Figure 5. Figure 5. Precedence graph of the whole product family. As the macro-operations have been introduced the operation set for each product has also changed Npp1 1 a 3 4 6 7 8 9 M I Npp11 9 Npp2 1 a 3 4 6 7 8 9 b I Npp2 I 9 Npp3 1 a 4 7 8 9 b 13 I Npp3 I 8. Also those blocks which cannot execute but only some operations from a macro-operation must be eliminated. These are B3 B5 B6 B7 and B10. Therefore the new set of blocks is Bpp B1 B2 B4 B8 B9 B11 B12 having noted that now B4 a 9 B11 b 13 and B12 a b . 142 Manufacturing the Future Concepts Technologies Visions Next one must perform the aggregation of the inclusion constraints taking into account the existence of macro-operations. Thus each element of each Dos i 1 2 3 and each element of Do containing only some of the operations included in macro-operations is first extended with the absent operations D spp D2 pp D spp Set Dpp iio P F. 7 8 1 DOPp D11 9 10 11 1211 - D spp D12 J pp d22 7 8 1 Dpp D31 19 10 11 1211 1 1-----2----- Dop DĨ2 J remains unchanged. Then all these 4 sets are united and the s elements having non .

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