Determine a lower bound on the number of grouped orders

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The material-handling systems for the Maltese distribution centre in La Valletta of Ekom makes use of hand transpallet trucks which can hold at most three roll containers, with a capacity of 15 packages each. Last January 9, at 10:15 AM, a picking list was created of eight orders to be retrieved from the storage zone, according to Table 1.

193_Table 2.jpg

The Euclidean distances between the centres of gravity of such orders are reported in Table 2.

The Euclidean distance between the centres of gravity of order 7 and 8 can be obtained from Tables 3 and 4, reporting the list of packages and the corresponding Cartesian coordinates.

551_Table 3.jpg

1888_Table 4.jpg

529_Table 5.jpg

Determine a lower bound on the number of grouped orders. Identify how to group orders, based on a seed order, choosing orders on the basis of their number of packages.

Reference no: EM131316203

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