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By T. Aized
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Extra resources for Future Manufacturing Systems
Sample text
N T1j(t) = Delay time until the next arrival to Bj T2j(t) = Delay time until the next departure from Bj We discuss the following situations: Case A: Machine Mi+1 is faster than Mi-1. This situation is depicted in Fig. 4 and the condition is: (T21 > T1,i-1 + 1 ) ( i 1 > i 1 ) i (45) We note that in Fig. 6 and in Fig. 7 the continuous line represents a machine operation on a work-part and the arrows represents arrivals to the succeeding buffer. Blank intervals indicate idle periods due to blockage or starvation of machines.
The novelty of the approach is that the construction of large Markov chains is not required. Using a structural decomposition, the manufacturing system is divided into cells. 6 . A x=2 x=3 t(hours) 0 1 4 8 12 16 20 24 Fig. 11. ,n and j working material handling system at time t, where Ni and j satisfy the system production capacity requirements. , tools, control systems. The results reported here can form the basis of several enhancements, such as conducting throughput studies of cellular flexible manufacturing types with multiple part types.
CTPt (i ) = CTt (i ) 1 1 2 CTPt−1 (i ) + 2 CTt (i ) if t = k ifk < t ≤ k + α −1 Finally, Comp(i, j) presents an index ISetk+α−1 (j). This index informs the average capacity of performance of the Set j at the k + α − 1th superstep. For each processor in a Set, its load is multiplied by its theoretical capacity. Concerning this, the Set Managers compute a performance average of their Sets and exchange this value. Each manager calculates ISet( j) for each Set normalizing their performance average by its own average.