The classical knapsack problem is defined as follows: We are given a set of n items, . Using this concept, Pisinger  introduced a dynamic programming. Thirteen years have passed since the seminal book on knapsack problems by Martello and Toth appeared. On this occasion a former colleague exclaimed back . The knapsack problem is believed to be one of the “easier” NP-hard D. Pisinger/Computers & Operations Research 32 () –
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Are Lower Bounds Easier over the Reals? Optimizing VM allocation and data placement for data-intensive applications in cloud using ACO metaheuristic algorithm T. Thirteen years have passed since the seminal book on knapsack problems by Martello and Toth appeared.
Knapsack problem Search pronlems additional papers on this topic. Topics Discussed in This Paper. Citations Publications citing this paper. Where are the hard knapsack problems?
Knapsack Problems – Hans Kellerer, Ulrich Pferschy, David Pisinger – Google Books
Account Options Sign in. Maringer Limited preview – However, in the last decade a large number of research publications contributed new results for the knapsack problem in all areas of interest such as exact algorithms, heuristics and approximation schemes.
My library Help Advanced Book Search. Hence, two years ago the idea arose to produce a new monograph covering not only the most recent developments of the standard knapsack problem, but also giving a comprehensive treatment of the whole knapsack family including the siblings such as the subset sum problem and the bounded and unbounded knapsack problem, and also more distant relatives such as multidimensional, multiple, multiple-choice and quadratic knapsack problems in dedicated chapters.
On this occasion a former colleague exclaimed back in Showing of extracted citations. User Review – Flag as inappropriate good. Algorithm Time complexity Coefficient Experiment. Moreover, the extension of the knapsack problem to higher dimensions both in the number of constraints and in the num ber of knapsacks, as well as the modification of the problem structure concerning the available item set and the objective function, leads to a number of interesting variations of practical relevance which were the subject of intensive research during the last few years.
Skip to search form Skip to main content. This paper has highly influenced 33 other papers. Showing of 16 references. Knapsack problem Dynamic programming Branch and bound Pseudo-polynomial time. From This Paper Figures, tables, and topics from this paper. References Publications referenced by this paper.
Polynomial Benchmark computing Computation Code. A time-varying transfer function for balancing the exploration and exploitation ability of a binary PSO Md. The purpose of this paper is to give an overview of all recent exact solution approaches, and to show that the knapsack problem still is hard to solve for these algorithms for a variety of new test problems.