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Corridor Allocation as a Constrained Optimization Problem Using a Permutation-Based Multi-objective Genetic Algorithm

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Nature-Inspired Methods for Metaheuristics Optimization

Part of the book series: Modeling and Optimization in Science and Technologies ((MOST,volume 16))

Abstract

The corridor allocation problem (CAP) seeks the optimum arrangement of given facilities along two sides of a central corridor. The CAP is so far handled as an unconstrained optimization problem without imposing any restriction on the placement of the facilities. In practice, however, some facilities may need to satisfy certain constraints on their placement. Accordingly, a constrained bi-objective CAP (cbCAP) model is proposed here, where some facilities are restricted to fixed, same and/or opposite rows. Realizing the difficulties to any algorithm for handling such a combinatorial problem, a cbCAP specific permutation-based genetic algorithm (cbCAP-pGA) with specialized operators is also proposed for solving the cbCAP model by generating only feasible solutions. In the numerical experimentation, the cbCAP-pGA is found capable in searching promising solutions even for a set of large-size benchmark instances.

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References

  1. Ahonen H, de Alvarenga AG, Amaral ARS (2014) Simulated annealing and tabu search approaches for the corridor allocation problem. Eur J Oper Res 232:221–233

    Article  MathSciNet  Google Scholar 

  2. Amaral ARS (2012) The corridor allocation problem. Comput Oper Res 39(12):3325–3330

    Article  Google Scholar 

  3. Anjos MF, Kennings A, Vannelli A (2005) A semidefinite optimization approach for the single-row layout problem with unequal dimensions. Discrete Optim 2:113–122

    Article  MathSciNet  Google Scholar 

  4. Chung J, Tanchoco JMA (2010) The double row layout problem. Int J Prod Res 48(3):709–727

    Article  Google Scholar 

  5. Datta D, Amaral ARS, Figueira JR (2011) Single row facility layout problem using a permutation-based genetic algorithm. Eur J Oper Res 213(2):388–394

    Article  MathSciNet  Google Scholar 

  6. Deb K, Agarwal S, Pratap A, Meyarivan T (2002) A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182–197

    Google Scholar 

  7. Ebster C (2011) Store design and visual merchandising: creating store space that encourages buying. Business Expert Press, New York

    Book  Google Scholar 

  8. Ghosh D, Kothari R (2012) Population heuristics for the corridor allocation problem. Technical report W.P. No. 2012-09-02, Indian Institute of Management, Ahmedabad, India

    Google Scholar 

  9. Kalita Z, Datta D (2014) Solving the bi-objective corridor allocation problem using a permutation-based genetic algorithm. Comput Oper Res 52:123–134

    Article  MathSciNet  Google Scholar 

  10. Kalita Z, Datta D, Palubeckis G (2019) Bi-objective corridor allocation problem using a permutation-based genetic algorithm hybridized with a local search technique. Soft Comput 23(3):961–986

    Article  Google Scholar 

  11. Lin QL, Liu HC, Wang DJ, Liu L (2015) Integrating systematic layout planning with fuzzy constraint theory to design and optimize the facility layout for operating theatre in hospitals. J Intell Manuf 26(1):87–95

    Article  Google Scholar 

  12. Motaghi M, Hamzenejad A, Riahi L, Kashani MS (2011) Optimization of hospital layout through the application of heuristic technique (diamond algorithm) in Shafa Hospital. Int J Manag Bus Res 1(3):133–138

    Google Scholar 

  13. Wang S, Zuo X, Liu X, Zhao X, Li J (2015) Solving dynamic double row layout problem via combining simulated annealing and mathematical programming. Appl Soft Comput 37:303–310

    Article  Google Scholar 

  14. Zuo X, Murray CC, Smith AE (2014) Solving an extended double row layout problem using multiobjective tabu search and linear programming. IEEE Trans Autom Sci Eng 11(4):1122–1132

    Article  Google Scholar 

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Correspondence to Dilip Datta .

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Kalita, Z., Datta, D. (2020). Corridor Allocation as a Constrained Optimization Problem Using a Permutation-Based Multi-objective Genetic Algorithm. In: Bennis, F., Bhattacharjya, R. (eds) Nature-Inspired Methods for Metaheuristics Optimization. Modeling and Optimization in Science and Technologies, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-030-26458-1_19

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  • DOI: https://doi.org/10.1007/978-3-030-26458-1_19

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  • Print ISBN: 978-3-030-26457-4

  • Online ISBN: 978-3-030-26458-1

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