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Bees algorithm for generalized assignment problem

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Combinatorial optimization problems are problems that have a large number of discrete solutions and a cost function for evaluating those solutions in comparison to one another. With the vital need of solving the combinatorial problem, several research efforts have been concentrated on the biological entities behaviors to utilize such behaviors in population-based metaheuristic. This paper presents bee colony algorithms which is one of the sophisticated biological nature life. A brief detail of the nature of bee life has been presented with further classification of its behaviors. Furthermore, an illustration of the algorithms that have been derived from bee colony which are bee colony optimization, and artificial bee colony. Finally, a comparative analysis has been conducted between these algorithms according to the results of the traveling salesman problem solution. Where the bee colony optimization (BCO) rendered the best performance in terms of computing time and results.

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In this paper, we propose a novel efficient model based on Bees Algorithm (BA) for the Resource-Constrained Project Scheduling Problem (RCPSP). The studied RCPSP is a NP-hard combinatorial optimization problem which involves resource, precedence, and temporal constraints. It has been applied to many applications. The main objective is to minimize the expected makespan of the project. The proposed model, named Enhanced Discrete Bees Algorithm (EDBA), iteratively solves the RCPSP by utilizing intelligent foraging behaviors of honey bees. The potential solution is represented by the multidimensional bee, where the activity list representation (AL) is considered. This projection involves using the Serial Schedule Generation Scheme (SSGS) as decoding procedure to construct the active schedules. In addition, the conventional local search of the basic BA is replaced by a neighboring technique, based on the swap operator, which takes into account the specificity of the solution space of proj...

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Artificial Bee Colony Algorithm (ABC) is nature-inspired metaheuristic, which imitates the foraging behavior of bees. ABC as a stochastic technique is easy to implement, has fewer control parameters, and could easily be modify and hybridized with other metaheuristic algorithms. Due to its successful implementation, several researchers in the optimization and artificial intelligence domains have adopted it to be the main focus of their research work. Since 2005, several related works have appeared to enhance the performance of the standard ABC in the literature, to meet up with challenges of recent research problems being encountered. Interestingly, ABC has been tailored successfully, to solve a wide variety of discrete and continuous optimization problems. Some other works have modified and hybridized ABC to other algorithms, to further enhance the structure of its framework. In this review paper, we provide a thorough and extensive overview of most research work focusing on the app...

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Home > Books > Swarm Intelligence, Focus on Ant and Particle Swarm Optimization

Artificial Bee Colony Algorithm and Its Application to Generalized Assignment Problem

Published: 01 December 2007

DOI: 10.5772/5101

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Artificial bee colony algorithm with global and local neighborhoods

  • Original Article
  • Published: 13 August 2014
  • Volume 9 , pages 589–601, ( 2018 )

Cite this article

  • Shimpi Singh Jadon 1 ,
  • Jagdish Chand Bansal 2 ,
  • Ritu Tiwari 1 &
  • Harish Sharma 3  

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29 Citations

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Artificial Bee Colony (ABC) is a well known population based efficient algorithm for global optimization. Though, ABC is a competitive algorithm as compared to many other optimization techniques, the drawbacks like preference on exploration at the cost of exploitation and slow convergence are also associated with it. In this article, basic ABC algorithm is studied by modifying its position update equation using the differential evolution with global and local neighborhoods like concept of food sources’ neighborhoods. Neighborhood of each colony member includes \(10\,\%\) members from the whole colony based on the index-graph of solution vectors. The proposed ABC is named as ABC with Global and Local Neighborhoods (ABCGLN) which concentrates to set a trade off between the exploration and exploitation and therefore increases the convergence rate of ABC. To validate the performance of proposed algorithm, ABCGLN is tested over \(24\) benchmark optimization functions and compared with standard ABC as well as its recent popular variants namely, Gbest guided ABC, Best-So-Far ABC and Modified ABC. Intensive statistical analyses of the results shows that ABCGLN is significantly better and takes on an average half number of function evaluations as compared to other considered algorithms.

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Jadon, S.S., Bansal, J.C., Tiwari, R. et al. Artificial bee colony algorithm with global and local neighborhoods. Int J Syst Assur Eng Manag 9 , 589–601 (2018). https://doi.org/10.1007/s13198-014-0286-6

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Revised : 18 July 2014

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DOI : https://doi.org/10.1007/s13198-014-0286-6

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COMMENTS

  1. Bees algorithm for generalized assignment problem

    The proposed bee algorithm is a modified version of the basic "bees algorithm" that was initially proposed by Pham and his colleagues. The modified BA is found very effective in solving small to medium sized generalized assignment problems. Actually, the proposed algorithm easily found all of the optimal solutions for smaller size problems ...

  2. Bees algorithm for generalized assignment problem

    Bees algorithm (BA) is a new member of meta-heuristics. BA tries to model natural behavior of honey bees in food foraging. Honey bees use several mechanisms like waggle dance to optimally locate food sources and to search new ones. This makes them a good candidate for developing new algorithms for solving optimization problems.

  3. Bees algorithm for generalized assignment problem

    Abstract. Bees algorithm (BA) is a new member of meta-heuristics. BA tries to model natural behavior of honey bees in food foraging. Honey bees use several mechanisms like waggle dance to optimally locate food sources and to search new ones. This makes them a good candidate for developing new algorithms for solving optimization problems.

  4. Bees algorithm for generalized assignment problem

    In this chapter an extensive review of work on artificial bee algorithms is given, development of an ABC algorithm for solving generalized assignment problem which is known as NP-hard problem is presented in detail along with some comparisons. Expand. 260. Highly Influential.

  5. Bees algorithm for generalized assignment problem

    The generalized assignment problem (GAP) is an open problem in which an integer k is given and one wants to assign k′ agents to kk′≤k jobs such that the sum of the corresponding cost is minimal.

  6. Bees algorithm for generalized assignment problem

    Such an attempt is made in this paper to present the performance of bee inspired algorithm, BA on a NP-hard problem which is known as generalized assignment problem, GAP. The proposed bee algorithm is a modified version of the basic ''bees algorithm" that was initially proposed by Pham and his colleagues.

  7. Bees algorithm for generalized assignment problem

    Table 10 Comparison of results for gapa-gapd. - "Bees algorithm for generalized assignment problem" ... "Bees algorithm for generalized assignment problem" Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 213,686,415 papers from all fields of science.

  8. PDF Artificial Bee Colony Algorithm and Its Application to Generalized

    8 Artificial Bee Colony Algorithm and Its Application to Generalized Assignment Problem Adil Baykaso ù lu 1, Lale Özbak r 2 and P nar Tapkan 2 1University of Gaziantep, Department of Industrial Engineering 2Erciyes University, Department of Industrial Engineering Turkey 1. Introduction There is a trend in the scientific community to model and solve complex optimization

  9. Artificial Bee Colony Algorithm and Its Application to Generalized

    A Path Relinking Algorithm for the Generalized Assignment Problem, In M.G.C. Resende, J.P. de Sousa (Eds.), Metaheuristics: Computer Decision-Making, Kluwer Academic Publishers, Boston, 1-17,2004 ...

  10. Bees algorithm for generalized assignment problem

    Fig. 1. Typical behavior of honey bee foraging [27]. - "Bees algorithm for generalized assignment problem"

  11. Generalized assignment problem

    The generalized assignment problem is NP-hard, However, there are linear-programming relaxations which give a (/)-approximation. Greedy approximation algorithm. For the problem variant in which not every item must be assigned to a bin, there is a family of algorithms for solving the GAP by using a combinatorial translation of any algorithm for ...

  12. An improved hybrid genetic algorithm for the generalized assignment problem

    We consider the generalized assignment problem in which the objective is to find a minimum cost assignment of a set of jobs to a set of agents subject to resource constraints. The presented new approach is based on a previously published, successful hybrid genetic algorithm and includes as new features two alternative initialization heuristics ...

  13. Scrounging-Act Scheme of Bees for Generalized Assignment Problem

    Modified version of ABC algorithm is introduced for optimization problems and standardized and reusable module to solve generalized assignment problem is developed. The Scrounging-Act Scheme of Bees is taken in to consideration for modeling, which reflects the population characteristics of Bees. The honey bees' natural conduct in food scrounging-Act is what the model tries to contrive. The ...

  14. Artificial Bee Colony Algorithm and Its Application to Generalized

    Artificial Bee Colony Algorithm and Its Application to Generalized Assignment Problem. Written By. Adil Baykasoğlu, Lale Özbakır and Pınar Tapkan. Published: 01 December 2007. DOI: 10.5772/5101. IntechOpen. Swarm Intelligence Focus on Ant and Particle Swarm Optimization Edited by Felix Chan. From the Edited Volume.

  15. Solving fuzzy multiple objective generalized assignment problems

    A survey of the generalized assignment problem and its applications. Information Systems and Operational Research. v45 i3. 123-141. Google Scholar; Özbakır et al., 2010. Bees algorithm for generalized assignment problem. Applied Mathematics and Computation. v215. 3782-3795. Google Scholar; Pham et al., 2006.

  16. Artificial bee colony algorithm with global and local neighborhoods

    Baykasoglu A, Ozbakir L, Tapkan P (2007) Artificial bee colony algorithm and its application to generalized assignment problem. Swarm Intell 113-144. Chidambaram C, Lopes HS (2009) A new approach for template matching in digital images using an artificial bee colony algorithm. In Nature & Biologically Inspired Computing, 2009. NaBIC 2009.

  17. Artificial Bee Colony Algorithm and Its Application to Generalized

    In this chapter an extensive review of work on artificial bee algorithms is given, development of an ABC algorithm for solving generalized assignment problem which is known as NP-hard problem is presented in detail along with some comparisons. There is a trend in the scientific community to model and solve complex optimization problems by employing natural metaphors.

  18. A Network Flow Algorithm for Solving Generalized Assignment Problem

    Abstract. The generalized assignment problem (GAP) is an open problem in which an integer is given and one wants to assign agents to jobs such that the sum of the corresponding cost is minimal. Unlike the traditional -cardinality assignment problem, a job can be assigned to many, but different, agents and an agent may undertake several, but different, jobs in our problem.

  19. Solving fuzzy multiple objective generalized assignment problems

    A new algorithm to solve the uncertain generalized assignment problem is studied, based on the concept of branch and bound rather than the usual simplex based techniques, which is justified numerically by showing its application in generalized machine allocation problem.

  20. algorithm

    How to solve a (generalized) assignment problem? i.e. we have clients from a certain industry and with a certain value assigned to an advisor. The goal is to harmonize the Client - Advisor assignment in a way that the number of industries per advisor gets minimized while preserving as many of the current clients as possible (e.g. "AD1" has most ...