How to cite this paper
Atmaca, H., Akbulut, H & Aktas, E. (2025). A new mathematical model for cellular manufacturing system with productivity consideratio.Decision Science Letters , 14(2), 375-392.
Refrences
Aalaei, A., & Davoudpour, H. (2017). A robust optimization model for cellular manufacturing system into supply chain management. International Journal of Production Economics, 183, 667–679. https://doi.org/10.1016/j.ijpe.2016.01.014
Abduelmola, A. I., & Taboun, S. M. (2000). A simulated annealing algorithm for designing cellular manufacturing systems with productivity consideration. Production Planning and Control, 11(6), 589–597. https://doi.org/10.1080/095372800414151
Alimian, M., Ghezavati, V., & Tavakkoli-Moghaddam, R. (2020). New integration of preventive maintenance and production planning with cell formation and group scheduling for dynamic cellular manufacturing systems. Journal of Manufacturing Systems, 56, 341–358. https://doi.org/10.1016/j.jmsy.2020.06.011
Aljuneidi, T., & Bulgak, A. A. (2017). Designing a Cellular Manufacturing System featuring remanufacturing, recycling, and disposal options: A mathematical modeling approach. CIRP Journal of Manufacturing Science and Technology, 19, 25–35. https://doi.org/10.1016/J.CIRPJ.2017.04.005
Amirahmadi, F., & Choobineh, F. (1996). Identifying the composition of a cellular manufacturing system. International Journal of Production Research, 34(9), 2471–2488.
Askin, R. G., & Chiu, K. S. (1990). A graph partitioning procedure for machine assignment and cell formation in group technology. In International Journal of Production Research (Vol. 28, Issue 8, pp. 1555–1572). https://doi.org/10.1080/00207549008942812
Askin, R. G., & Standridge, C. R. (1993). Modeling and Analysis of Manufacturing Systems. John Wiley & Sons.
Bagheri, M., & Bashiri, M. (2014). A new mathematical model towards the integration of cell formation with operator assignment and inter-cell layout problems in a dynamic environment. Applied Mathematical Modelling, 38(4), 1237–1254. https://doi.org/10.1016/j.apm.2013.08.026
Boctor, F. F. (1991). A Jinear formulation of the machine-part cell formation problem. International Journal of Production Research, 29(2), 343–356.
Boctor, F. F. (1996). The minimum-cost, machine-part cell formation problem. International Journal of Production Research, 34(4), 1045–1063.
Brown, J. R. (2015). A capacity constrained mathematical programming model for cellular manufacturing with exceptional elements. Journal of Manufacturing Systems, 37, 227–232.
Buruk Sahin, Y., & Alpay, S. (2019). A new mathematical model for the integrated solution of cell formation and part scheduling problem. In Gazi University Journal of Science (Vol. 32, Issue 4, pp. 1196–1210). https://doi.org/10.35378/gujs.471637
Choobineh, F. (1988). A framework for the design of cellular manufacturing systems. International Journal of Production Research, 26(7), 1161–1172. https://doi.org/10.1080/00207548808947932
Dahel, N.-E. (1995). Design of cellular manufacturing systems in tandem configuration. International Journal of Production Research, 33(8), 2079–2095. https://doi.org/10.1080/00207549508904803
Damodaran, V., Lashkari, R. S., & Singh, N. (1992). A production planning model for cellular manufacturing systems with refixturing considerations. International Journal of Production Research, 30(7), 1603–1615. https://doi.org/10.1080/00207549208948109
Defersha, F. M., & Chen, M. (2006). A comprehensive mathematical model for the design of cellular manufacturing systems. International Journal of Production Economics, 103(2), 767–783. https://doi.org/10.1016/j.ijpe.2005.10.008
Egilmez, G., Süer, G. A., & Huang, J. (2012). Stochastic cellular manufacturing system design subject to maximum acceptable risk level. Computers and Industrial Engineering, 63(4), 842–854. https://doi.org/10.1016/j.cie.2012.05.006
Erenay, B., Suer, G. A., Huang, J., & Maddisetty, S. (2015). Comparison of layered cellular manufacturing system design approaches. Computers and Industrial Engineering , 85, 346–358. https://doi.org/10.1016/j.cie.2015.02.021
Forghani, K., Mohammadi, M., & Ghezavati, V. (2013). Designing robust layout in cellular manufacturing systems with uncertain demands. International Journal of Industrial Engineering Computations, 4(2), 215–226. https://doi.org/10.5267/j.ijiec.2012.012.002
Golmohammadi, A.-M., Honarvar, M., Tian, G., & Hosseini-Nasab, H. (2019). A New Mathematical Model for Integration of Cell Formation with Machine Layout and Cell Layout by Considering Alternative Process Routing Reliability: A Novel Hybrid Metaheuristic. International Journal of Industrial Engineering & Production Research, 30, 405–427. https://doi.org/10.22068/ijiepr.30.4.405
Gunasingh, K. R., & Lashkari, R. S. (1989). The cell formation problem in cellular manufacturing systems-A sequential modelling approach. Computers and Industrial Engineering, 16(4), 469–476. https://doi.org/10.1016/0360-8352(89)90164-2
Gupta, T., & Seifoddini, H. (1990). Clustering algorithms for the design of a cellular manufacturing system - an analysis for their performance. Computers & Industrial Engineering, 19(1–4), 432–436.
H., S. (1989). Duplication Process in Machine Cells Formation in Group Technology. IIE Transactions, 21(4), 382–388. https://doi.org/10.1080/07408178908966245
Han, C., & Ham, I. (1986). Multiobjective cluster analysis for part family formations. Journal of Manufacturing Systems, 5(4), 223–230. https://doi.org/10.1016/0278-6125(86)90053-1
Heragu, S. S., & Chen, J.-S. (1998). Optimal solution of cellular manufacturing system design: Benders’ decomposition approach. European Journal of Operational Research, 107, 175–192. https://doi.org/https://doi.org/10.1016/S0377-2217(97)00256-7
Jain, A. K., Kasilingam, R. G., & Bhole, S. D. (1990). Cell formation in flexible manufacturing systems under resource constraints. Computers & Industrial Engineering, 19(1–4), 437–441.
Kheirkhah, A. S., & Ghajari, A. (2018). A three-phase heuristic approach to solve an integrated cell formation and production planning problem. Uncertain Supply Chain Management, 6(2), 213–228. https://doi.org/10.5267/j.uscm.2017.7.001
Kılıç, G. (2008). Hücresel imalat sistemlerinde insan-makine hücreleri oluşturma problemi için çok amaçlı bir matematiksel programlama yaklaşımı. Gazi University.
Kusiak, A. (1987). The generalized group technology concept. International Journal of Production Research, 25(4), 561–569. https://doi.org/10.1080/00207548708919861
Logendran, R. (1993). A binary integer programming approach for simultaneous machine-part grouping in cellular manufacturing systems. Computers & Industrial Engineering, 24(3), 329–336.
Mahdavi, I., Javadi, B., Fallah-Alipour, K., & Slomp, J. (2007). Designing a new mathematical model for cellular manufacturing system based on cell utilization. Applied Mathematics and Computation, 190(1), 662–670. https://doi.org/10.1016/j.amc.2007.01.060
Mehdizadeh, E., Shamoradifar, M., & Akhavan Niaki, S. T. (2020a). An integrated mathematical programming model for a dynamic cellular manufacturing system with limited resources. International Journal of Services and Operations Management, 37(1), 1–26. https://doi.org/10.1504/IJSOM.2020.109437
Mehdizadeh, E., Shamoradifar, M., & Akhavan Niaki, S. T. (2020b). An integrated mathematical programming model for a dynamic cellular manufacturing system with limited resources. In International Journal of Services and Operations Management (Vol. 37, Issue 1, pp. 1–26). https://doi.org/10.1504/IJSOM.2020.109437
Mohammadi, M., & Forghani, K. (2014). A novel approach for considering layout problem in cellular manufacturing systems with alternative processing routings and subcontracting approach. Applied Mathematical Modelling, 38(14), 3624–3640. https://doi.org/10.1016/j.apm.2013.11.058
Murugan, M., & Selladurai, V. (2011). Formation of machine cells/Part families in cellular manufacturing systems using an ART-modified single linkage clustering approach - A comparative study. Jordan Journal of Mechanical and Industrial Engineering, 5(3), 199–212.
Papaioannou, G., & Wilson, J. M. (2010). The evolution of cell formation problem methodologies based on recent studies (1997-2008): Review and directions for future research. European Journal of Operational Research, 206(3), 509–521. https://doi.org/10.1016/j.ejor.2009.10.020
Purcheck, G. F. K. (1975). A mathematical classification as a basis for the design of Group-Technology production cells. The Production Engineer, 54(1), 35–48.
Rajamani, D., Singh, N., & Aneja, Y. P. (1990). Integrated design of cellular manufacturing systems in the presence of alternative process plans. International Journal of Production Research, 28(8), 1541–1554.
Ranjbar, R., Shayannia, S. A., Amir Miandargh, M., & Lotfi, M. R. (2022). Integrated Design of Cellular Production System Using Branch and Bound Algorithm. Discrete Dynamics in Nature and Society, 2022, 1–10. https://doi.org/10.1155/2022/9652547
Sakhaii, M., Tavakkoli-Moghaddam, R., Bagheri, M., & Vatani, B. (2016). A robust optimization approach for an integrated dynamic cellular manufacturing system and production planning with unreliable machines. Applied Mathematical Modelling, 40(1), 169–191) https://doi.org/10.1016/j.apm.2015.05.005
Selim, H. M., Askin, R. G., & Vakharia, A. J. (1998). Cell formation in group technology: Review, evaluation and directions for future research. Computers and Industrial Engineering, 34(1), 3–20. https://doi.org/10.1016/s0360-8352(97)00147-2
Shiyas, C. R., & Pillai, M. (2014). A mathematical programming model for manufacturing cell formation to develop multiple configurations. Journal of Manufacturing Systems, 33, 149–158.
Taboun, S. M., Merchawi, N. S., & Ulger, T. (1998). A two-stage model for cost effective part family and machine cell formation. Computers and Industrial Engineering, 34(4), 759–776. https://doi.org/10.1016/S0360-8352(98)00103-X
Tariq, A., Hussain, I., & Ghafoor, A. (2009). A hybrid genetic algorithm for machine-part grouping. Computers and Industrial Engineering , 56(1), 347–356. https://doi.org/10.1016/j.cie.2008.06.007
Uddin, M. K., & Shanker, K. (2002). Grouping of parts and machines in the presence of alternative process routes by genetic algorithm. International Journal of Production Economics, 76, 219–228. https://doi.org/https://doi.org/10.1016/S0925-5273(01)00164-5
Vafaeinezhad, M., Kia, R., & Shahnazari-Shahrezaei, P. (2016). Robust optimization of a mathematical model to design a dynamic cell formation problem considering labor utilization. Journal of Industrial Engineering International, 12(1), 45–60. https://doi.org/10.1007/s40092-015-0127-5
Zhang, Z., Guan, Z., Fang, W., & Yue, L. (2023). Dynamic virtual cellular reconfiguration for capacity planning of market-oriented production systems. Journal of Industrial and Management Optimization, 19(3), 1611–1635. https://doi.org/10.3934/jimo.2022009
Abduelmola, A. I., & Taboun, S. M. (2000). A simulated annealing algorithm for designing cellular manufacturing systems with productivity consideration. Production Planning and Control, 11(6), 589–597. https://doi.org/10.1080/095372800414151
Alimian, M., Ghezavati, V., & Tavakkoli-Moghaddam, R. (2020). New integration of preventive maintenance and production planning with cell formation and group scheduling for dynamic cellular manufacturing systems. Journal of Manufacturing Systems, 56, 341–358. https://doi.org/10.1016/j.jmsy.2020.06.011
Aljuneidi, T., & Bulgak, A. A. (2017). Designing a Cellular Manufacturing System featuring remanufacturing, recycling, and disposal options: A mathematical modeling approach. CIRP Journal of Manufacturing Science and Technology, 19, 25–35. https://doi.org/10.1016/J.CIRPJ.2017.04.005
Amirahmadi, F., & Choobineh, F. (1996). Identifying the composition of a cellular manufacturing system. International Journal of Production Research, 34(9), 2471–2488.
Askin, R. G., & Chiu, K. S. (1990). A graph partitioning procedure for machine assignment and cell formation in group technology. In International Journal of Production Research (Vol. 28, Issue 8, pp. 1555–1572). https://doi.org/10.1080/00207549008942812
Askin, R. G., & Standridge, C. R. (1993). Modeling and Analysis of Manufacturing Systems. John Wiley & Sons.
Bagheri, M., & Bashiri, M. (2014). A new mathematical model towards the integration of cell formation with operator assignment and inter-cell layout problems in a dynamic environment. Applied Mathematical Modelling, 38(4), 1237–1254. https://doi.org/10.1016/j.apm.2013.08.026
Boctor, F. F. (1991). A Jinear formulation of the machine-part cell formation problem. International Journal of Production Research, 29(2), 343–356.
Boctor, F. F. (1996). The minimum-cost, machine-part cell formation problem. International Journal of Production Research, 34(4), 1045–1063.
Brown, J. R. (2015). A capacity constrained mathematical programming model for cellular manufacturing with exceptional elements. Journal of Manufacturing Systems, 37, 227–232.
Buruk Sahin, Y., & Alpay, S. (2019). A new mathematical model for the integrated solution of cell formation and part scheduling problem. In Gazi University Journal of Science (Vol. 32, Issue 4, pp. 1196–1210). https://doi.org/10.35378/gujs.471637
Choobineh, F. (1988). A framework for the design of cellular manufacturing systems. International Journal of Production Research, 26(7), 1161–1172. https://doi.org/10.1080/00207548808947932
Dahel, N.-E. (1995). Design of cellular manufacturing systems in tandem configuration. International Journal of Production Research, 33(8), 2079–2095. https://doi.org/10.1080/00207549508904803
Damodaran, V., Lashkari, R. S., & Singh, N. (1992). A production planning model for cellular manufacturing systems with refixturing considerations. International Journal of Production Research, 30(7), 1603–1615. https://doi.org/10.1080/00207549208948109
Defersha, F. M., & Chen, M. (2006). A comprehensive mathematical model for the design of cellular manufacturing systems. International Journal of Production Economics, 103(2), 767–783. https://doi.org/10.1016/j.ijpe.2005.10.008
Egilmez, G., Süer, G. A., & Huang, J. (2012). Stochastic cellular manufacturing system design subject to maximum acceptable risk level. Computers and Industrial Engineering, 63(4), 842–854. https://doi.org/10.1016/j.cie.2012.05.006
Erenay, B., Suer, G. A., Huang, J., & Maddisetty, S. (2015). Comparison of layered cellular manufacturing system design approaches. Computers and Industrial Engineering , 85, 346–358. https://doi.org/10.1016/j.cie.2015.02.021
Forghani, K., Mohammadi, M., & Ghezavati, V. (2013). Designing robust layout in cellular manufacturing systems with uncertain demands. International Journal of Industrial Engineering Computations, 4(2), 215–226. https://doi.org/10.5267/j.ijiec.2012.012.002
Golmohammadi, A.-M., Honarvar, M., Tian, G., & Hosseini-Nasab, H. (2019). A New Mathematical Model for Integration of Cell Formation with Machine Layout and Cell Layout by Considering Alternative Process Routing Reliability: A Novel Hybrid Metaheuristic. International Journal of Industrial Engineering & Production Research, 30, 405–427. https://doi.org/10.22068/ijiepr.30.4.405
Gunasingh, K. R., & Lashkari, R. S. (1989). The cell formation problem in cellular manufacturing systems-A sequential modelling approach. Computers and Industrial Engineering, 16(4), 469–476. https://doi.org/10.1016/0360-8352(89)90164-2
Gupta, T., & Seifoddini, H. (1990). Clustering algorithms for the design of a cellular manufacturing system - an analysis for their performance. Computers & Industrial Engineering, 19(1–4), 432–436.
H., S. (1989). Duplication Process in Machine Cells Formation in Group Technology. IIE Transactions, 21(4), 382–388. https://doi.org/10.1080/07408178908966245
Han, C., & Ham, I. (1986). Multiobjective cluster analysis for part family formations. Journal of Manufacturing Systems, 5(4), 223–230. https://doi.org/10.1016/0278-6125(86)90053-1
Heragu, S. S., & Chen, J.-S. (1998). Optimal solution of cellular manufacturing system design: Benders’ decomposition approach. European Journal of Operational Research, 107, 175–192. https://doi.org/https://doi.org/10.1016/S0377-2217(97)00256-7
Jain, A. K., Kasilingam, R. G., & Bhole, S. D. (1990). Cell formation in flexible manufacturing systems under resource constraints. Computers & Industrial Engineering, 19(1–4), 437–441.
Kheirkhah, A. S., & Ghajari, A. (2018). A three-phase heuristic approach to solve an integrated cell formation and production planning problem. Uncertain Supply Chain Management, 6(2), 213–228. https://doi.org/10.5267/j.uscm.2017.7.001
Kılıç, G. (2008). Hücresel imalat sistemlerinde insan-makine hücreleri oluşturma problemi için çok amaçlı bir matematiksel programlama yaklaşımı. Gazi University.
Kusiak, A. (1987). The generalized group technology concept. International Journal of Production Research, 25(4), 561–569. https://doi.org/10.1080/00207548708919861
Logendran, R. (1993). A binary integer programming approach for simultaneous machine-part grouping in cellular manufacturing systems. Computers & Industrial Engineering, 24(3), 329–336.
Mahdavi, I., Javadi, B., Fallah-Alipour, K., & Slomp, J. (2007). Designing a new mathematical model for cellular manufacturing system based on cell utilization. Applied Mathematics and Computation, 190(1), 662–670. https://doi.org/10.1016/j.amc.2007.01.060
Mehdizadeh, E., Shamoradifar, M., & Akhavan Niaki, S. T. (2020a). An integrated mathematical programming model for a dynamic cellular manufacturing system with limited resources. International Journal of Services and Operations Management, 37(1), 1–26. https://doi.org/10.1504/IJSOM.2020.109437
Mehdizadeh, E., Shamoradifar, M., & Akhavan Niaki, S. T. (2020b). An integrated mathematical programming model for a dynamic cellular manufacturing system with limited resources. In International Journal of Services and Operations Management (Vol. 37, Issue 1, pp. 1–26). https://doi.org/10.1504/IJSOM.2020.109437
Mohammadi, M., & Forghani, K. (2014). A novel approach for considering layout problem in cellular manufacturing systems with alternative processing routings and subcontracting approach. Applied Mathematical Modelling, 38(14), 3624–3640. https://doi.org/10.1016/j.apm.2013.11.058
Murugan, M., & Selladurai, V. (2011). Formation of machine cells/Part families in cellular manufacturing systems using an ART-modified single linkage clustering approach - A comparative study. Jordan Journal of Mechanical and Industrial Engineering, 5(3), 199–212.
Papaioannou, G., & Wilson, J. M. (2010). The evolution of cell formation problem methodologies based on recent studies (1997-2008): Review and directions for future research. European Journal of Operational Research, 206(3), 509–521. https://doi.org/10.1016/j.ejor.2009.10.020
Purcheck, G. F. K. (1975). A mathematical classification as a basis for the design of Group-Technology production cells. The Production Engineer, 54(1), 35–48.
Rajamani, D., Singh, N., & Aneja, Y. P. (1990). Integrated design of cellular manufacturing systems in the presence of alternative process plans. International Journal of Production Research, 28(8), 1541–1554.
Ranjbar, R., Shayannia, S. A., Amir Miandargh, M., & Lotfi, M. R. (2022). Integrated Design of Cellular Production System Using Branch and Bound Algorithm. Discrete Dynamics in Nature and Society, 2022, 1–10. https://doi.org/10.1155/2022/9652547
Sakhaii, M., Tavakkoli-Moghaddam, R., Bagheri, M., & Vatani, B. (2016). A robust optimization approach for an integrated dynamic cellular manufacturing system and production planning with unreliable machines. Applied Mathematical Modelling, 40(1), 169–191) https://doi.org/10.1016/j.apm.2015.05.005
Selim, H. M., Askin, R. G., & Vakharia, A. J. (1998). Cell formation in group technology: Review, evaluation and directions for future research. Computers and Industrial Engineering, 34(1), 3–20. https://doi.org/10.1016/s0360-8352(97)00147-2
Shiyas, C. R., & Pillai, M. (2014). A mathematical programming model for manufacturing cell formation to develop multiple configurations. Journal of Manufacturing Systems, 33, 149–158.
Taboun, S. M., Merchawi, N. S., & Ulger, T. (1998). A two-stage model for cost effective part family and machine cell formation. Computers and Industrial Engineering, 34(4), 759–776. https://doi.org/10.1016/S0360-8352(98)00103-X
Tariq, A., Hussain, I., & Ghafoor, A. (2009). A hybrid genetic algorithm for machine-part grouping. Computers and Industrial Engineering , 56(1), 347–356. https://doi.org/10.1016/j.cie.2008.06.007
Uddin, M. K., & Shanker, K. (2002). Grouping of parts and machines in the presence of alternative process routes by genetic algorithm. International Journal of Production Economics, 76, 219–228. https://doi.org/https://doi.org/10.1016/S0925-5273(01)00164-5
Vafaeinezhad, M., Kia, R., & Shahnazari-Shahrezaei, P. (2016). Robust optimization of a mathematical model to design a dynamic cell formation problem considering labor utilization. Journal of Industrial Engineering International, 12(1), 45–60. https://doi.org/10.1007/s40092-015-0127-5
Zhang, Z., Guan, Z., Fang, W., & Yue, L. (2023). Dynamic virtual cellular reconfiguration for capacity planning of market-oriented production systems. Journal of Industrial and Management Optimization, 19(3), 1611–1635. https://doi.org/10.3934/jimo.2022009