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Research Articles

Solving the constrained Single-Row Facility Layout Problem with Integer Linear Programming

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Pages 1882-1897 | Received 06 Jul 2021, Accepted 28 Feb 2022, Published online: 19 Mar 2022

References

  • Amaral, A. R. S. 2006. “On the Exact Solution of a Facility Layout Problem.” European Journal of Operational Research 173 (2): 508–518.
  • Amaral, A. R. S. 2008. “An Exact Approach to the One-Dimensional Facility Layout Problem.” Operations Research 56 (4): 1026–1033. Publisher: INFORMS.
  • Amaral, A. R. 2009. “A New Lower Bound for the Single Row Facility Layout Problem.” Discrete Applied Mathematics 157 (1): 183–190.
  • Amaral, A. R. 2019. “A Mixed-integer Programming Formulation for the Double Row Layout of Machines in Manufacturing Systems.” International Journal of Production Research 57 (1): 34–47.
  • Amaral, A. R. S., and A. N. Letchford. 2013. “A Polyhedral Approach to the Single Row Facility Layout Problem.” Mathematical Programming 141 (1): 453–477.
  • Anjos, M. F., P. Hungerländer, and K. Maier. 2018. “An Integer Linear Programming Approach for the Combined Cell Layout Problem.” IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Bangkok, Thailand, 705–709. IEEE.
  • Anjos, M. F., A. Kennings, and A. Vannelli. 2005. “A Semidefinite Optimization Approach for the Single-row Layout Problem with Unequal Dimensions.” Discrete Optimization 2 (2): 113–122.
  • Anjos, M. F., and A. Vannelli. 2008. “Computing Globally Optimal Solutions for Single-Row Layout Problems Using Semidefinite Programming and Cutting Planes.” INFORMS Journal on Computing 20 (4): 611–617.
  • Anjos, M. F., and M. V. C. Vieira. 2017. “Mathematical Optimization Approaches for Facility Layout Problems: The State-of-the-art and Future Research Directions.” European Journal of Operational Research 261 (1): 1–16.
  • Anjos, M. F., and G. Yen. 2009. “Provably Near-optimal Solutions for Very Large Single-row Facility Layout Problems.” Optimization Methods and Software 24 (4-5): 805–817.
  • Cheng, R., and M. Gen. 1998. “Loop Layout Design Problem in Flexible Manufacturing Systems Using Genetic Algorithms.” Computers & Industrial Engineering 34 (1): 53–61.
  • Chung, J., and J. M. A. Tanchoco. 2010. “The Double Row Layout Problem.” International Journal of Production Research 48 (3): 709–727. doi:10.1080/00207540802192126.
  • Datta, D., A. R. S. Amaral, and J. R. Figueira. 2011. “Single Row Facility Layout Problem Using a Permutation-based Genetic Algorithm.” European Journal of Operational Research 213 (2): 388–394.
  • Djellab, H., and M. Gourgand. 2001. “A New Heuristic Procedure for the Single-row Facility Layout Problem.” International Journal of Computer Integrated Manufacturing 14: 270–280.
  • Drira, A., H. Pierreval, and S. Hajri-Gabouj. 2007. “Facility Layout Problems: A Survey.” Annual Reviews in Control 31 (2): 255–267.
  • Dunker, T., G. Radons, and E. Westkämper. 2005. “Combining Evolutionary Computation and Dynamic Programming for Solving a Dynamic Facility Layout Problem.” European Journal of Operational Research 165 (1): 55–69.
  • Gen, M., and R. Cheng. 1999. Genetic Algorithms and Engineering Optimization. Hoboken, NJ: John Wiley & Sons.
  • Gomes de Alvarenga, A., F. J. Negreiros-Gomes, and M. Mestria. 2000. “Metaheuristic Methods for a Class of the Facility Layout Problem.” Journal of Intelligent Manufacturing 11 (4): 421–430.
  • Guan, J., and G. Lin. 2016. “Hybridizing Variable Neighborhood Search with Ant Colony Optimization for Solving the Single Row Facility Layout Problem.” European Journal of Operational Research 248 (3): 899–909.
  • Guan, C., Z. Zhang, and Y. Li. 2019. “A Flower Pollination Algorithm for the Double-floor Corridor Allocation Problem.” International Journal of Production Research 57 (20): 6506–6527.
  • Hassan, M. M. D. 1994. “Machine Layout Problem in Modern Manufacturing Facilities.” International Journal of Production Research 32 (11): 2559–2584. doi:10.1080/00207549408957084.
  • Heragu, S. S., and A. S. Alfa. 1992. “Experimental Analysis of Simulated Annealing Based Algorithms for the Layout Problem.” European Journal of Operational Research 57 (2): 190–202.
  • Heragu, S. S., and A. Kusiak. 1988. “Machine Layout Problem in Flexible Manufacturing Systems.” Operations Research 36 (2): 258–268.
  • Heragu, S. S., and A. Kusiak. 1991. “Efficient Models for the Facility Layout Problem.” European Journal of Operational Research 53 (1): 1–13.
  • Hosseini-Nasab, H., S. Fereidouni, S. M. T. Fatemi Ghomi, and M. B. Fakhrzad. 2018. “Classification of Facility Layout Problems: A Review Study.” The International Journal of Advanced Manufacturing Technology 94 (1): 957–977.
  • Huang, J., X. Lu, G. Zhang, and J. Qu. 2014. “Study on the Rheological, Thermal and Mechanical Properties of Thermoplastic Polyurethane/poly (Butylene Terephthalate) Blends.” Polymer Testing 36: 69–74.
  • Hübner, A., H. Kuhn, and M. Walther. 2018. “Combining Clinical Departments and Wards in Maximum-care Hospitals.” OR Spectrum 40 (3): 679–709.
  • Hungerländer, P., and M. F. Anjos. 2014. “An Exact Approach for the Combined Cell Layout Problem.” In Operations Research Proceedings 2012, edited by S. Helber, M. Breitner, D. Rösch, C. Schön, J.-M. Graf von der Schulenburg, P. Sibbertsen, M. Steinbach, S. Weber, & A. Wolter, 275–281. Cham: Springer International Publishing.
  • Hungerländer, P., K. Maier, V. Pachatz, and C. Truden. 2020. “Exact and Heuristic Approaches for a New Circular Layout Problem.” SN Applied Sciences 2 (6): 1035.
  • Hungerländer, P., and F. Rendl. 2013. “A Computational Study and Survey of Methods for the Single-row Facility Layout Problem.” Computational Optimization and Applications 55 (1): 1–20.
  • Kalita, Z., and D. Datta. 2018. “A Constrained Single-row Facility Layout Problem.” The International Journal of Advanced Manufacturing Technology 98 (5): 2173–2184.
  • Kalita, Z., and D. Datta. 2020. “The Constrained Single-Row Facility Layout Problem with Repairing Mechanisms.” In Nature-Inspired Methods for Metaheuristics Optimization: Algorithms and Applications in Science and Engineering, Modeling and Optimization in Science and Technologies, edited by F. Bennis and R. K. Bhattacharjya, 359–383. Cham: Springer International Publishing.
  • Keller, B., and U. Buscher. 2015. “Single Row Layout Models.” European Journal of Operational Research245 (3): 629–644.
  • Kothari, R., and D. Ghosh. 2011. “The Single Row Facility Layout Problem: State of the Art.” OPSEARCH 49: 442–462.
  • Kothari, R., and D. Ghosh. 2013. “Tabu Search for the Single Row Facility Layout Problem Using Exhaustive 2-opt and Insertion Neighborhoods.” European Journal of Operational Research 224 (1): 93–100.
  • Kothari, R., and D. Ghosh. 2014a. “An Efficient Genetic Algorithm for Single Row Facility Layout.” Optimization Letters 8 (2): 679–690.
  • Kothari, R., and D. Ghosh. 2014b. “A Scatter Search Algorithm for the Single Row Facility Layout Problem.” Journal of Heuristics 20 (2): 125–142.
  • Kusiak, A.. 2018. “Smart Manufacturing.” International Journal of Production Research 56 (1–2): 508–517.
  • Liu, S., Z. Zhang, C. Guan, L. Zhu, M. Zhang, and P. Guo. 2021. “An Improved Fireworks Algorithm for the Constrained Single-row Facility Layout Problem.” International Journal of Production Research 58 (8): 1–19. doi:10.1080/00207543.2020.1730465.
  • Love, R., and J. Wong. 1976. “On Solving a One-Dimensional Space Allocation Problem with Integer Programming.” INFOR: Information Systems and Operational Research 14 (2): 139–143.
  • Luo, G., X. Wen, H. Li, W. Ming, and G. Xie. 2017. “An Effective Multi-objective Genetic Algorithm Based on Immune Principle and External Archive for Multi-objective Integrated Process Planning and Scheduling.” The International Journal of Advanced Manufacturing Technology 91 (9): 3145–3158.
  • Maier, K., and V. Pachatz. 2021. Instances_SRFLP. doi.org/10.13140/RG.2.2.32563.14886.
  • Meller, R. D., and K.-Y. Gau. 1996. “The Facility Layout Problem: Recent and Emerging Trends and Perspectives.” Journal of Manufacturing Systems 15 (5): 351–366.
  • Nematian, J.. 2014. “A Robust Single Row Facility Layout Problem with Fuzzy Random Variables.” The International Journal of Advanced Manufacturing Technology 72 (1–4): 255–267.
  • Ou-Yang, C., and A. Utamima. 2013. “Hybrid Estimation of Distribution Algorithm for Solving Single Row Facility Layout Problem.” Computers & Industrial Engineering 66 (1): 95–103.
  • Ozcelik, F.. 2012. “A Hybrid Genetic Algorithm for the Single Row Layout Problem.” International Journal of Production Research 50 (20): 5872–5886. doi:10.1080/00207543.2011.636386.
  • Palubeckis, G.. 2012. “A Branch-and-bound Algorithm for the Single-row Equidistant Facility Layout Problem.” OR Spectrum 34 (1): 1–21.
  • Pérez-Gosende, P., J. Mula, and M. Díaz-Madroñero. 2021. “Facility Layout Planning. An Extended Literature Review.” International Journal of Production Research 59 (12): 3777–3816.
  • Picard, J.-C., and M. Queyranne. 1981. “On the One-Dimensional Space Allocation Problem.” Operations Research 29 (2): 371–391.
  • Rachamadugu, R., U. Nandkeolyar, and T. Schriber. 1993. “Scheduling with Sequencing Flexibility.” Decision Sciences 24 (2): 315–342. https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1540-5915.1993.tb00477.x.
  • Ravi Kumar, K., G. C. Hadjinicola, and T.-l. Lin. 1995. “A Heuristic Procedure for the Single-row Facility Layout Problem.” European Journal of Operational Research 87 (1): 65–73.
  • Samarghandi, H., and K. Eshghi. 2010. “An Efficient Tabu Algorithm for the Single Row Facility Layout Problem.” European Journal of Operational Research 205 (1): 98–105.
  • Samarghandi, H., P. Taabayan, and F. F. Jahantigh. 2010. “A Particle Swarm Optimization for the Single Row Facility Layout Problem.” Computers & Industrial Engineering 58 (4): 529–534.
  • Saravanan, M., S. G. Kumar, and M. Rajkumar. 2016. “Design and Optimisation of Single Row Layout Problem in Flexible Manufacturing Systems Using Metaheuristic Algorithms.” International Journal of Manufacturing Technology and Management 30 (3-4): 196–215.
  • Satheesh Kumar, R., P. Asokan, S. Kumanan, and B. Varma. 2008. “Scatter Search Algorithm for Single Row Layout Problem in Fms.” Advances in Production Engineering & Management 3 (4): 193–204.
  • Simmons, D. M.. 1969. “One-dimensional space allocation: an ordering algorithm.” Operations Research17 (5): 812–826.
  • Singh, S. P., and R. R. K. Sharma. 2006. “A Review of Different Approaches to the Facility Layout Problems.” The International Journal of Advanced Manufacturing Technology 30 (5): 425–433.
  • Solimanpur, M., P. Vrat, and R. Shankar. 2005. “An Ant Algorithm for the Single Row Layout Problem in Flexible Manufacturing Systems.” Computers & Operations Research 32 (3): 583–598.
  • Tompkins, J. A., J. A. White, Y. A. Bozer, and J. M. A. Tanchoco. 2010. Facilities Planning. Hoboken, NJ: John Wiley & Sons.
  • Wan, X., X. Zuo, X. Li, and X. Zhao. 2020. “A Hybrid Multiobjective Grasp for a Multi-Row Facility Layout Problem with Extra Clearances.” International Journal of Production Research 60 (3): 957–976.
  • Wang, T.-K., T. Yang, C.-Y. Yang, and F. T. Chan. 2015. “Lean Principles and Simulation Optimization for Emergency Department Layout Design.” Industrial Management & Data Systems 115 (4): 678–699.
  • Yang, X., W. Cheng, P. Guo, and Q. He. 2019. “Mixed Integer Programming Formulations for Single Row Facility Layout Problems with Asymmetric Material Flow and Corridor Width.” Arabian Journal for Science and Engineering 44 (8): 7261–7276.
  • Yang, T., B. A. Peters, and M. Tu. 2005. “Layout Design for Flexible Manufacturing Systems Considering Single-loop Directional Flow Patterns.” European Journal of Operational Research 164 (2): 440–455.
  • Yu, M., X. Zuo, X. Zhao, and C. Wang. 2018. “Hybridizing Tabu Search with Mathematical Programming for Solving a Single Row Layout Problem. IEEE 14th International Conference on Automation Science and Engineering (CASE), Munich, Germany, 974–980. IEEE.
  • Zheng, T., M. Ardolino, A. Bacchetti, and M. Perona. 2021. “The Applications of Industry 4.0 Technologies in Manufacturing Context: A Systematic Literature Review.” International Journal of Production Research 59 (6): 1922–1954.

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