Abstract
Dynamic facility layout problem (DFLP) considers flow over multiple time periods in an environment where material flow between departments changes over time. These changes render the current facility layout inefficient and could increase material handling costs, which results in a need for dynamic layout models. But a key factor ignored for simplicity in the DFLP literature, is considering the effects of non-cooperating internal and external competitions on the mentioned changes in facility layout over time that sometimes results in main conflict of objectives/goals for these distinct decision makers. To the best our knowledge, the existing special literature did not cover this important assumption. Ignoring this main assumption resulted in the existing monopolistic models for DFLP that cannot satisfy the new needs in the nowadays competitive environments. Therefore, in this paper, a duopoly Bertrand non-cooperative game model is presented to consider the impacts of all conflicting factors on a DFLP for each period and three meta-heuristic algorithms are proposed to obtain Nash equilibrium for this model. The results obtained from solving some numerical examples with these algorithms show that the proposed simulated annealing algorithm is more effective than the others for the competitive dynamic facility layout problem.



















Similar content being viewed by others
References
Afentakis PA (1989) Loop layout design problem for flexible manufacturing systems. Int J Flex Manuf Syst 1:143–175
Aiello G, Enea M, Galante G (2006) A multi-objective approach on facility layout problem by genetic search algorithm and electre method. Robot Comput Integrat Manuf 22(5–6):447–455
Atashpaz-Gargari E, Lucas C (2007) Imperialist competitive algorithm: an algorithm for optimization inspired by imperialistic competition. In: IEEE congress on evolutionary computation, CEC 2007 (4661–4667)
Balakrishnan J, Jacobs RF, Venkataramanan MA (1992) Solutions for the constrained dynamic facility layout problem. Eur J Oper Res 57:280–286
Balakrishnan J, Cheng CH, Wong KF (2003) FACOPT: a user friendly FACility layout OPTimization system. Comput Oper Res 30(11):1625–1641
Balakrishnan J, Cheng CH, Conway DG, Lau CM (2003) A hybrid genetic algorithm for the dynamic plant layout problem. Int J Prod Econ 86(2):107–120
Baykasoglu A, Gindy NNZ (2001) A simulated annealing algorithm for dynamic layout problem. Comput Oper Res 28(14):1403–1426
Baykasoglu A, Dereli T, Sabuncu I (2006) An ant colony algorithm for solving budget constrained and unconstrained dynamic facility layout problems. Omega 34(4):385–396
Braglia M, Zanoni S, Zavanella L (2003) Layout design in dynamic environments: strategies and quantitative indices. Int J Prod Res 41(5):995–1016
Chen GY (2013) A new data structure of solution representation in hybrid ant colony optimization for large dynamic facility layout problems. Int J Prod Econ 142(2):362–371
Emami S, Nookabadi AS (2013) Managing a new multi-objective model for the dynamic facility layout problem. Int J Adv Manuf Technol 68(9–12):2215–2228
Hosseini-Nasab H, Emami L (2013) A hybrid particle swarm optimization for dynamic facility layout problem. Int J Prod Res 51(14):4325
Islier AA (1998) A genetic algorithm approach for multiple criteria facility layout design. Int J Prod Res 36(6):1549–1569
Kaveh M, Majazi Dalfard V, Amiri S (2014) A new intelligent algorithm for dynamic facility layout problem in state of fuzzy constraints. Neural Comput Appl 24(5):1179–1190
Kheirkhah A, Navidi H, Messi Bidgoli M (2015) Dynamic facility layout problem: a new bilevel formulation and some metaheuristic solution methods. IEEE Trans Eng Manag 62(3):396–410
Lee YH, Lee MH (2002) A shape-based block layout approach to facility layout problems using hybrid genetic algorithm. Comput Ind Eng 42:237–248
McKendall AR, Shang J, Kuppusamy S (2006) Simulated annealing heuristics for the dynamic facility layout problem. Comput Oper Res 33(8):2431–2444
Meng G, Heragu SS, Zijm H (2004) Reconfigurable layout problem. Int J Prod Res 42(22):4709–4729
Navidi H, Bashiri M, MessiBidgoli M (2012) A heuristic approach on the facility layout problem based on game theory. Int J Prod Res 50(6):1512–1527
Page AL (1991) New product development survey: performance and best practices. In: PDMA conference
Pourvaziri H, Naderi B (2014) A hybrid multi-population genetic algorithm for the dynamic facility layout problem’. Appl Soft Comput 24:457–469
Rajabioun R, Atashpaz-Gargari E, Lucas C (2008) Colonial competitive algorithm as a tool for Nash equilibrium point achievement. In: Computational science and its applications–ICCSA, pp 680–695
Ripon KSN, Glette K, Koch D, Hovin M, Torresen J (2011) Genetic algorithm using a modified backward pass heuristic for the dynamic facility layout problem. PALADYN J Behav Robot 2(3):164–174. doi:10.2478/s13230-012-0008-1
Tamashunas V, Labban J, Sly D (1990) Interactive graphics offer an analysis of plant layout and material handling systems. Indust Eng 22(6):38–43
Tompkins JA, White JA, Bozer YA, Frazelle EH, Tanchoco JMA, Trevino J (1996) Facilities planning. Wiley, NewYork, pp 137–285
Tsay AA, Agrawal N (2000) Channel dynamics under price and service competition. Manuf Serv Oper Manag 2:372–391
Uddin MS (2015) Hybrid genetic algorithm and variable neighborhood search for dynamic facility layout problem. Open J Optim 4(4):156–167
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kheirkhah, A., Bidgoli, M.M. Dynamic facility layout problem under competitive environment: a new formulation and some meta-heuristic solution methods. Prod. Eng. Res. Devel. 10, 615–632 (2016). https://doi.org/10.1007/s11740-016-0703-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11740-016-0703-6