Abstract
In this study a new multi-objective assembly line balancing problem is studied. Objectives like the number of stations, the equipment purchasing cost, the worker time dependent wage, and worker dependent dis-quality level of the stations is to be minimized simultaneously with worker allocation and equipment assignment possibilities. The problem also is formulated in a fuzzy environment. To solve such problem, a new hybrid fuzzy interactive approach is proposed in two stages. In the first stage, the fuzzy formulation is converted to a crisp multi-objective formulation using a credibility-based chance constrained programming approach. Then in the second stage, the obtained crisp multi-objective formulation is solved by a new hybrid fuzzy programming approach. To evaluate the proposed approach, two generated examples and a case study from garment production industries are used for computational experiments. The extensive computational study prove the superiority of the proposed approach over the well-known approaches of the literature.
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References
Abd El-Wahed WF, Lee SM (2006) Interactive fuzzy goal programming for multiobjective transportation problems. OMEGA: Int J Manage Sci 34:158–166
Abu Alhaj M, Svetinovic D, Diabat A (2016) A carbon-sensitive two-echelon-inventory supply chain model with stochastic demand. Resour Conserv Recycl 108:82–87
Alavidoost MH, Babazadeh H, Sayyari ST (2016) An interactive fuzzy programming approach for bi-objective straight and U-shaped assembly line balancing problem. Appl Soft Comput 40:221–235
Al-Refaie A, Diabat A (2013) Optimizing convexity defect in a tile industry using fuzzy goal programming. Measurement 46:2807–2815
Amen M (2000) Heuristic methods for cost-oriented assembly line balancing: a survey. Int J Prod Econ 68:1–14
Amen M (2000) An exact method for cost-oriented assembly line balancing. Int J Prod Econ 64:187–195
Amen M (2001) Heuristic methods for cost-oriented assembly line balancing: a comparison on solution quality and computing time. Int J Prod Econ 69:255–264
Amen M (2006) Cost-oriented assembly line balancing Model formulations, solution difficulty, upper and lower bounds. Eur J Oper Res 168:747–770
Askin R, Zhou M (1997) A parallel station heuristic for the mixed-model production line balancing problem. Int J Prod Res 35:3095–3105
Battaa O, Dolgui A (2013) A taxonomy of line balancing problems and their solution approaches. Int J Prod Econ 142(2):259– 277
Becker C, Scholl A (2006) A survey on problems and methods in generalized assembly line balancing. Eur J Oper Res 168(3):694–715
Bellman RE, Zadeh LA (1970) Decision making in a fuzzy environment. Manag Sci 17:141–164
Deb K, Padhye N (2014) Enhancing performance of particle swarm optimization through an algorithmic link with genetic algorithms. Comput Optim Appl 57(3):761–794
Demirli K, Yimer AD (2008) Fuzzy scheduling of a build-to-order supply chain. Int J Prod Res 46:3931–3958
Diabat A, Khodaverdi R, Olfat L (2013) An exploration of green supply chain practices and performances in an automotive industry. Int J Adv Manuf Technol 68:949–961
Diabat A, Al-Araidah O, Alsyouf I, Duh C (2011) A heuristic approach to scheduling jobs in machining centres equipped with automated pallet changers. Int J Adv Oper Manag 3(3–4). https://doi.org/10.1504/IJAOM.2011.045447
Ogan D, Azizoglu M (2015) A branch and bound method for the line balancing problem in U-shaped assembly lines with equipment requirements. J Manuf Syst 36:46–54
Erel E, Sarin SC (1998) A survey of the assembly line balancing procedures. Prod Plan Control 9(5):414–434
Fu Y-M, Diabat A (2015) A Lagrangian relaxation approach for solving the integrated quay crane assignment and scheduling problem. Appl Math Modell 39(3–4):1194–1201
Gen M, Tsujimura Y, Li Y (1996) Fuzzy assembly line balancing using genetic algorithms. Comput Ind Eng 31:631–634
Gutjahr AL, Nemhauser GL (1964) An algorithm for the balancing problem. Manag Sci 11:23–35
Hadi-Vencheh A, Rezaei Z, Razipour S (2014) Solving fully fuzzy multiple objective linear programming problems: a new perspective. J Soft Comput Appl 2014:1–4
Hadi-Vencheha A, Mohamadghasemi A (2015) A new hybrid fuzzy multi-criteria decision making model for solving the material handling equipment selection problem. Int J Comput Integr Manuf 28(5):534–550
Hamta N, FatemiGhomi SMT, Jolai F, Akbarpour Shirazi M (2013) A hybrid PSO algorithm for a multi-objective assembly line balancing problem with flexible operation times, sequence dependent setup times and learning effect. Int J Prod Econ 141(1):99–111
Kannan D, Garg K, Jha P C, Diabat A (2016) Integrating disassembly line balancing in the planning of a reverse logistics network from the perspective of a third party provider. Ann Oper Res 1–24. https://doi.org/10.1007/s10479-016-2272-7
Khanjani Shiraz R, Tavana M, Paryab KH (2014) Fuzzy free disposal hull models under possibility and credibility measures. Int J Data Anal Tech Strateg 6(3). https://doi.org/10.1504/IJDATS.2014.063072
Kim YK, Kim JY, Kim Y (2000) A coevolutionary algorithm for balancing and sequencing in mixed model assembly lines. Appl Intell 13:247–258
Lai YJ, Hwang CL (1992) A new approach to some possibilistic linear programming problems. Fuzzy Sets Syst 49:121–133
Leirasa A, Hamachera S, Elkamel A (2010) Petroleum refinery operational planning using robust optimization. Eng Optim 42(12):1119–1131
Li XQ, Zhang B, LiH (2006) Computing efficient solutions to fuzzy multiple objective linear programming problems. Fuzzy Sets Syst 157:1328–1332
Liu B (2002) Theory and practice of uncertain programming. Physica-Verlag, Heideberg
Liu B, Liu YK (2002) Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans Fuzzy Syst 10(4):445–450
Liu B (2004) Uncertainty theory: an introduction to its axiomatic foundations. Springer, Berlin
Mahmoodi-Rad A, Molla-Alizadeh-Zavardehi S, Dehghan R, Sanei M, Niroomand S (2014) Genetic and differential evolution algorithms for the allocation of customers to potential distribution centers in a fuzzy environment. Int J Adv Manuf Technol 70:1939–1954
Mehlawat MK, Gupta P (2015) COTS products selection using fuzzy chance-constrained multiobjective programming. Appl Intell 43:732–751
Mirjalili S, Jangir P, Saremi Sh (2016) Multi-objective ant lion optimizer: a multi-objective optimization algorithm for solving engineering problems. Appl Intell. https://doi.org/10.1007/s10489-016-0825-8
Mosallaeipour S, Mahmoodirad A, Niroomand S, Vizvari B (2017) Simultaneous selection of material and supplier under uncertainty in carton box industries: a fuzzy possibilistic multi-criteria approach. Soft Comput. https://doi.org/10.1007/s00500-017-2542-6
Niroomand S, Mahmoodirad A, Heydari A, Kardani F, Hadi-Vencheh A (2016) An extension principle based solution approach for shortest path problem with fuzzy arc lengths. Oper Res Int J 1–17. https://doi.org/10.1007/s12351-016-0230-4
Padhye N, Bhardawaj P, Deb K (2013) Improving differential evolution through a unified approach. J Glob Optim 55(4):771– 799
Padhye N, Mittal P, Deb K (2015) Feasibility preserving constraint-handling strategies for real parameter evolutionary optimization. Comput Optim Appl 62(3):851–890
Rosenberg O, Ziegler H (1992) A comparison of heuristic algorithms for costoriented assembly line balancing. Math Meth Oper Res 36(6):477–495
Safi MR, Maleki HR, Zaeimazad E (2007) A note on the Zimmermann method for solving fuzzy linear programming problems. Iran J Fuzzy Syst 4(2):31–45
Saif U, Guan Z, Wang B, Mirza J, Huang S (2014) A survey on assembly lines and its types. Front Mech Eng 9(2):95–105
Selim H, Ozkarahan I (2008) A supply chain distribution network design model: an interactive fuzzy goal programming-based solution approach. Int J Adv Manuf Technol 36:401–418
Salveson ME (1955) The assembly line balancing problem. J Ind Eng 6:18–25
Scholl A, Becker C (2006) State-of-the-art exact and heuristic solution procedures for simple assembly line balancing. Eur J Oper Res 168:666–693
Sungur B, Yavuz Y (2015) Assembly line balancing with hierarchical worker assignment. J Manuf Syst 37:290–298
Taassoria M, Niroomand S, Uysala S, Hadi-Venchehc A, Vizvari B (2016) Fuzzy-based mapping algorithms to design networks-on-chip. J Intell Fuzzy Syst 31:27–43
Tavana M, Khanjani Shiraz R, Hatami-Marbini A, Agrell JP, Paryab Kh (2013) Chance-constrained DEA models with random fuzzy inputs and outputs. Knowl-Based Syst 52:32–52
Tavana M, Zarook Y, Santos-Arteaga FJ (2015) An integrated three-stage maintenance scheduling model for unrelated parallel machines with aging effect and multi-maintenance activities. Comput Ind Eng 83:226–236
Theodorou E, Diabat A (2015) A joint quay crane assignment and scheduling problem: formulation, solution algorithm and computational results. Optim Lett 9(4):799–817
Torabi SA, Hassini E (2008) An interactive possibilistic programming approach for multiple objective supply chain master planning. Fuzzy Set Syst 159:193–214
Tsujimura Y, Gen M, Kubota E (1995) Solving fuzzy assembly-line balancing problem with genetic algorithms. Comput Ind Eng 29:543–547
Tasan S, Tunali S (2008) A review of the current applications of genetic algorithms in assembly line balancing. J Intell Manuf 19:49–69
Tiwari RN, Dharmar S, Rao JR (1987) Fuzzy goal programming—an additive model. Fuzzy Sets Syst 24:27–34
Zadeh LA (1978) Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst 1:3–28
Zadeh LA et al (1979) A theory of approximate reasoning. In: Hayes J (ed) Mathematical frontiers of the social and policy sciences. Westview Press, Boulder, pp 69–129
Zhang Y, Huang G (2010) Fuzzy robust credibility-constrained programming for environmental management and planning. J Air Waste Manag Assoc 60(6):711–721
Zhu H, Zhang J (2009) A credibility-based fuzzy programming model for APP problem. In: Proceedings of the International conference on artificial intelligence and computational intelligence, vol 1, pp 455–459
Zimmermann HJ (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst 1:45–55
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Salehi, M., Maleki, H.R. & Niroomand, S. A multi-objective assembly line balancing problem with worker’s skill and qualification considerations in fuzzy environment. Appl Intell 48, 2137–2156 (2018). https://doi.org/10.1007/s10489-017-1065-2
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DOI: https://doi.org/10.1007/s10489-017-1065-2