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Example text
Precedence task set 1, 2 refers task 2 precedes task 1 in a {0, 1} task matrix where column precedes the row. A 1 is placed where there is a precedence relation, otherwise 0. Solution flexibility can be determined from precedence matrix by 21 Assembly Line Balancing and Sequencing measuring − (flexibility ratio). , 1995). − Where, − = × ( (2) ) is the number of zeros above the diagonal and is the number of task elements. 78. Tasks 1 2 3 4 5 6 7 8 9 10 11 12 1 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 3 1 0 D 0 0 0 0 0 0 0 0 0 4 1 0 0 I 0 0 0 0 0 0 0 0 5 0 0 0 1 A 0 0 0 0 0 0 0 6 0 0 0 0 1 G 0 0 0 0 0 0 7 0 1 1 0 0 1 O 0 0 0 0 0 8 1 0 0 0 0 0 0 N 0 0 0 0 9 0 0 0 0 0 0 0 1 A 0 0 0 10 0 0 0 0 0 0 0 0 1 L 0 0 11 0 0 0 0 0 0 1 0 0 1 12 0 0 0 0 0 0 0 0 0 0 1 0 Table 2.
Combined precedence diagram alter different models into one equivalent single model. A simple combined precedence relation example is given in figure 5, with 12 tasks, where node containing the task number and the values indicate tasks time. 20 Assembly Line – Theory and Practice The following algorithm defined as step by step procedure, generates a number of feasible solutions for equivalent single model. Optimized feasible solutions are stored as the input solutions of second stage. 1. Open a new station with a cycle time = .
This means that when a constructive method performs well when applying LOP-1, it also performs well (or better) when applying LOP-2. This behaviour can also be observed in Figure 3, which shows the percentage of improvement (in one workstation) of the proposed procedures comparing with other multi-pass methods. PS1stat LOP-1 LOP-2 40 35 30 25 20 15 10 5 N T _T S Sk N T _LW T S N T _T T S N T _S T S N T _IS N T _T S N T _ T LW N T _N N T _ Sk N T _LW N T _T N T _EW N T _R P W T T _T S S k T T _LW T S T T _T T S T T _S T S T T _IS T T _T S T T _ T LW T T _N T T _ Sk T T _LW T T _T T T _EW T T _R P W N P _T S Sk N P _LW T S N P _T T S N P _S T S N P_IS N P_ T S N P_ T LW N P _N N P_ Sk N P _LW N P _T N P _EW N P_R P W 0 Fig.