Shortest Route Models for the Allocation of Inspection Effort On a Production Li
Shortest Route Models for the Allocation of Inspection Effort On a Production Li
Leon S Leon Seligsberger White
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1) can be solved directly to yield an optimal plan. However, for large networks, i. E. , long production lines, it may pay to use an algorithm especially developed to exploit the partic- ular structure of the shortest route model. Two of the fastest such al- gorithms are due to Dantzig [3] and Berge and Ghouila-Houri [2]. Berge and Ghourila-Houri's algorithm requires a maximum of 2(1+2+... + [ili])- l/2(L+2)(L+U) 2 -^ 2 comparisons to determine the shortest route between and L+1 in the network ...N(L). Consequently, once the data has been prepared and the arc costs are generated. Model I may be evaluated for most production lines in a reasonable amount of computer time. Moreover, for small and medium size lines (say less than 25 stages) it will be possible to do a comprehensive sensitivity analysis - 12 - on any parameters of special interest. U. An Analysis of Model II Suppose now that the amount of available inspection effort is limited in the sense that an upper bound T
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