Greedy Approach for Optimizing 0-1 Knapsack Problem
نویسندگان
چکیده
منابع مشابه
An Hybrid Approach for the 0–1 Multi Knapsack Problem
Like for many NP-hard combinatorial optimization problems, both exact and heuristic algorithms have been developed for the MKP01. Existing exact algorithms are essentially based on the branch and bound method [11]. These algorithms are different one from another according to the way the upper bounds are obtained. For instance, in [11], Shih solves, exactly, each of the m single constrained, rel...
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We consider the average-case performance of a well-known approximation algorithm for the 0/1 knapsack problem, the Decreasing Density Greedy (DDG) algorithm. Let Un = {u1, . . . , un} be a set of n items, with each item ui having a size si and a profit pi, and Kn be the capacity of the knapsack. Given an instance of the 0/1 knapsack problem, let PL denote the total profit of an optimal solution...
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Greedy algorithm is a group of algorithms that have one common characteristic, making the best choice locally at each step without considering future plans. Thus, the essence of greedy algorithm is a choice function: given a set of options, choose the current best option. Because of the myopic nature of greedy algorithm, it is (as expected) not correct for many problems. However, there are cert...
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It is well known that 0-1 knapsack problem (KP01) plays an important role in both computing theory and many real life applications. Due to its NP-hardness, lots of impressive research work has been performed on many variants of the problem. Inspired by region partition of items, an effective hybrid algorithm based on greedy degree and expectation efficiency (GDEE) is presented in this paper. In...
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The 0-1 knapsack problem with a single continuous variable (KPC) is a natural extension of the binary knapsack problem (KP), where the capacity is not any longer fixed but can be extended which is expressed by a continuous variable. This variable might be unbounded or restricted by a lower or upper bound, respectively. This paper concerns techniques in order to reduce several variants of KPC to...
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ژورنال
عنوان ژورنال: Communications on Applied Electronics
سال: 2017
ISSN: 2394-4714
DOI: 10.5120/cae2017652675