Knapsack problem - Wikipedia, the free encyclopedia
The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collect...
en.wikipedia.org/wiki/Knapsack_problem
to the 0-1 Knapsack Problem ... Fractional knapsack problem The setup is same, but the thief can take fractions of items, meaning that the items can be broken into smaller pieces so that thief may decide to carry only a fraction of xi of item i, where 0 ≤ xi ≤ 1. ... Dynamic-Programming Solution to the 0-1 Knapsack Problem...
www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms... www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/Dynamic/knapsackdyn.htm
If is an optimal solution, then we can at least say that must be an optimal solution for a knapsack with capacity . This suggests we can define an array , where is the maximum value that can be carried in a knapsack with capacity . If we can find , then we're done.
www.cs.toronto.edu/~heap/270F02/node62.html
The Knapsack Problem can be described as follows: We nave an empty bag with (weight) capacity C, along with n items. The items have weights w(i) and values v(i), for i=1,2,...,n. There is only one of each item. Which items should we take to maximize the total value, while not exceeding the bag capacity?
www.nuigalway.ie/mat/algorithms/knapsack.html www.nuigalway.ie/mat/algorithms/knapsack.html
PROC knapsack dp = ([]BOUNTY items, BOUNTY sack)[]INT:( ### Solves the Knapsack problem, with two sets of weights, using a dynamic programming approach ### # (weight+1) x (volume+1) table # # table[w,v] is the maximum value that can be achieved # # with ... : .SOLUTION ( -- ) CR ." The traveller's knapsack contains " vials DEC. ."
rosettacode.org/wiki/Knapsack_Problem rosettacode.org/wiki/Knapsack_Problem
Home | Example Publications ... Generated by D2R Server ... rdfs:label Implementing in Prolog an Effective Cellular Solution to the Knapsack Problem. (xsd:string)
dblp.l3s.de/d2r/resource/publications/conf/membrane/Cor... dblp.l3s.de/d2r/resource/publications/conf/membrane/Cordon-FrancoGPRS03
rdfs:label Optimal File Allocation in a Computer Network: a Solution Method Based on the Knapsack Problem. (xsd:string)
dblp.l3s.de/d2r/resource/publications/journals/cn/CeriP... dblp.l3s.de/d2r/resource/publications/journals/cn/CeriPM82
Designing an Efficient Solution to the Unbounded Knapsack Problem (1997) ... 3 Computing partitions with aplications to the knapsack problem – Horowitz, Sahni - 1974 ... 2 Efficient Dynamic Programming for the Unbounded Knapsack Problem – Andonov, Poirriez, et al. - 1996...
citeseer.ist.psu.edu/andonov97designing.html
Morten Goodwin Olsens Homepage ... In this paper, we present a novel solution for the nonlinear fractional knapsack problem with a separable and concave criterion function (Bretthauer and Shetty, 2002). To render the problem realistic, we consider the criterion function to be stochastic with an unknown distribution.
www.mortengoodwin.net/publicationfiles/CIC2006.pdf/docu... www.mortengoodwin.net/publicationfiles/CIC2006.pdf/document_view
Lecture Notes in Economics and Mathematical Systems - Lecture Notes in Economics and Mathematical SystemsThis series reports on new developments in mathematical economics, economic theory, econometrics, operations research and &... ... Lecture Notes in Economics and Mathematical Systems; ... 1. Research monographs...
www.springer.com/series/300
Definitions