Method for the Solution of the Multi Dimensional 01 Knapsack Problem

Cover 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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