Algorithm for fractional knapsack 1. W and item have value Viand weight Wi. 2. Rank item by value/weight ratio: Vi/Wi. 3. Thus : Vi/Wi= Vj/Wjfor all i<=Wj. 4. Consider items in order of descending ratio. 5. Take as much of each item is possible. 6. Assume value and weight...
(1977), Fractional Knapsack Problems, Mathematical Programming 13, 255–271. MathSciNet MATH Google Scholar Ishii, H., Nishida, T. and Daino, A. (1979), Fractional Set Covering Problems, Technology Reports of the Osaka University 29, 319–326. MathSciNet Google Scholar Ivanov, E.H. ...
Ishii, H., Ibaraki, T., and Mine, H.: ‘Fractional knapsack problems’, Math. Program. 13 (1976), 255–271. CrossRef Iwano, K., Misono, S., Tezuka, S., and Fujishige, S.: ‘A new scaling algorithm for the maximum mean cut problem’, Algorithmica 11 (1994), 243–255. Cross...