Method for the Solution of the Multi Dimensional 01 Knapsack Problem
Method for the Solution of the Multi Dimensional 01 Knapsack Problem
H Martin Weingartner
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Vord 1 Word 2 throutjh c'jord K+1 . -Jord K+2 . Vord K+5 throuijh | ivord K+T+2 1 Pointer . Vord » Stratr-^v Vector iVords Payoff for this Strategy t Unallocated Resources ! \ords K - rnlii —r^], i. E. , the integer part of (n+;^5)/>o, for a 56 bit /word machine n, T are as defined earlier Pointer has the address of the next block of words on the list, or if this is the last block on the list. V. Is 1 if this block is to be deleted during the next deletion pass, otherwise. F is 1 if the block i...s "flagged" and G otherwise The K words, no. S 2 through K+1, contain a bit-pattern representing this strategy vector. ;'vnri] K+2 contains the ar:ount of the payoff for this strategy. The T words, no. S K+; through K+T+2, contain the amount of the budgets unallocated by this strategy in budgets 1, 2, ... , T, resoF-ctively. 19 1. "Guess'' a solution--e. G. , the Linear Programming Lower Bound solution--for use in Lower Bound Elimination. 2. Select a project Troin the File of Projects which best satisfies any one of a number of preprogrammed criteria and directly in- corporate it, or obtain a print-out of the selected project's characteristics .
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