Fractional Knapsack Problem

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf mathematical optimization
gptkbp:allows taking fractions of items
gptkbp:category mathematical optimization
gptkbp:compatibleWith only whole items
gptkbp:complexity O(n log n)
gptkbp:firstDescribed gptkb:George_Dantzig
gptkbp:hasVariant gptkb:0-1_Knapsack_Problem
https://www.w3.org/2000/01/rdf-schema#label Fractional Knapsack Problem
gptkbp:input knapsack capacity
list of items with weights and values
gptkbp:objective maximize total value in knapsack
gptkbp:prohibits total weight does not exceed capacity
gptkbp:relatedTo gptkb:Knapsack_Problem
gptkbp:solvedBy greedy algorithm
repeat until knapsack is full
sort items by value-to-weight ratio
take as much as possible of highest ratio item
gptkbp:usedIn computer science
operations research
resource allocation
gptkbp:bfsParent gptkb:Knapsack_Problem
gptkbp:bfsLayer 7