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Greedy algorithm

About: Greedy algorithm is a research topic. Over the lifetime, 15347 publications have been published within this topic receiving 393945 citations.


Papers
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Journal ArticleDOI
TL;DR: It is proved that the classical bounds on the performance of the greedy algorithm for approximating MINIMUM COVER with costs are valid for PARTIAL COVER as well, thus lowering, by more than a factor of two, the previously known estimate.

115 citations

Journal ArticleDOI
17 Jul 2013
TL;DR: This work proposes two QoS-aware data replication (QADR) algorithms in cloud computing systems that can produce the optimal solution to the QADR problem in polynomial time and proposes node combination techniques to reduce the possibly large data replication time.
Abstract: Cloud computing provides scalable computing and storage resources. More and more data-intensive applications are developed in this computing environment. Different applications have different quality-of-service (QoS) requirements. To continuously support the QoS requirement of an application after data corruption, we propose two QoS-aware data replication (QADR) algorithms in cloud computing systems. The first algorithm adopts the intuitive idea of high-QoS first-replication (HQFR) to perform data replication. However, this greedy algorithm cannot minimize the data replication cost and the number of QoS-violated data replicas. To achieve these two minimum objectives, the second algorithm transforms the QADR problem into the well-known minimum-cost maximum-flow (MCMF) problem. By applying the existing MCMF algorithm to solve the QADR problem, the second algorithm can produce the optimal solution to the QADR problem in polynomial time, but it takes more computational time than the first algorithm. Moreover, it is known that a cloud computing system usually has a large number of nodes. We also propose node combination techniques to reduce the possibly large data replication time. Finally, simulation experiments are performed to demonstrate the effectiveness of the proposed algorithms in the data replication and recovery.

115 citations

Journal ArticleDOI
TL;DR: An approximation algorithm for the weighted k-set packing problem is presented that combines the two paradigms by starting with an initial greedy solution and then repeatedly choosing the best possible local improvement, which is the first asymptotic improvement over the straightforward ratio of k.

115 citations

Journal ArticleDOI
TL;DR: This paper proposes two greedy algorithms for packing unequal circles into a two-dimensional rectangular container that selects the next circle to place according to the maximum-hole degree rule, inspired from human activity in packing.
Abstract: In this paper, we study the problem of packing unequal circles into a two-dimensional rectangular container. We solve this problem by proposing two greedy algorithms. The first algorithm, denoted by B1.0, selects the next circle to place according to the maximum-hole degree rule, that is inspired from human activity in packing. The second algorithm, denoted by B1.5, improves B1.0 with a self-look-ahead search strategy. The comparisons with the published methods on several instances taken from the literature show the good performance of our approach.

115 citations

Journal ArticleDOI
01 May 2015
TL;DR: Results show that the proposed TMIIG algorithm is relatively more effective in minimizing the makespan than other existing well-performing heuristic algorithms.
Abstract: Graphical abstractDisplay Omitted HighlightsWe propose an improved IG algorithm for the no-wait flowshop scheduling problem.The proposed algorithm is incorporated with a Tabu-based reconstruction strategy.Simulation results confirm the advantages of utilizing the new reconstruction scheme.Our algorithm is more effective than other competitive algorithms in the literature.43 new upper bound solutions for the problem have been made available. This paper proposes a Tabu-mechanism improved iterated greedy (TMIIG) algorithm to solve the no-wait flowshop scheduling problem with a makespan criterion. The idea of seeking further improvement in the iterated greedy (IG) algorithm framework is based on the observation that the construction phase of the original IG algorithm may not achieve good performance in escaping from local minima when incorporating the insertion neighborhood search. To overcome this limitation, we have modified the IG algorithm by utilizing a Tabu-based reconstruction strategy to enhance its exploration ability. A powerful neighborhood search method that involves insert, swap, and double-insert moves is then applied to obtain better solutions from the reconstructed solution in the previous step. Empirical results on several benchmark problem instances and those generated randomly confirm the advantages of utilizing the new reconstruction scheme. In addition, our results also show that the proposed TMIIG algorithm is relatively more effective in minimizing the makespan than other existing well-performing heuristic algorithms.

115 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023350
2022690
2021809
2020939
20191,006
2018967