*Result*: An extended goal programming approach with piecewise penalty functions for uncertain supplier-material selection problem in cardboard box manufacturing systems.
Title:
An extended goal programming approach with piecewise penalty functions for uncertain supplier-material selection problem in cardboard box manufacturing systems.
Authors:
Najibzadeh Z; Department of Mathematics, Shiraz University of Technology, Shiraz, Iran., Maleki HR; Department of Mathematics, Shiraz University of Technology, Shiraz, Iran. maleki@sutech.ac.ir., Niroomand S; Department of Industrial Engineering, Firouzabad Higher Education Center, Shiraz University of Technology, Shiraz, Iran.
Source:
Scientific reports [Sci Rep] 2024 Sep 05; Vol. 14 (1), pp. 20714. Date of Electronic Publication: 2024 Sep 05.
Publication Type:
Journal Article
Language:
English
Journal Info:
Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: MEDLINE; PubMed not MEDLINE
Imprint Name(s):
Original Publication: London : Nature Publishing Group, copyright 2011-
References:
Ayhan, M. B. A fuzzy AHP approach for supplier selection problem: A case study in a Gear motor company. Preprint at https://arXiv.org/quant-ph/1311.2886 (2013).
Ayhan, M. B. & Kilic, H. S. A two stage approach for supplier selection problem in multi-item/multi-supplier environment with quantity discounts. Comput. Ind. Eng. 85, 1–12 (2015). (PMID: 10.1016/j.cie.2015.02.026)
Tan, T. & Alp, O. An integrated approach to inventory and flexible capacity management subject to fixed costs and non-stationary stochastic demand. OR Spectrum 31, 337–360 (2009). (PMID: 10.1007/s00291-008-0122-y)
Asgari, N., Nikbakhsh, E., Hill, A. & Farahani, R. Z. Supply chain management 1982–2015: A review. IMA J. Manag. Math. 27(3), 353–379 (2016).
Hajiaghaei-Keshteli, M. & Fathollahi-Fard, A. M. A set of efficient heuristics and metaheuristics to solve a two-stage stochastic bi-level decision-making model for the distribution network problem. Comput. Ind. Eng. 123, 378–395 (2018). (PMID: 10.1016/j.cie.2018.07.009)
Khalili Goudarzi, F., Maleki, H. R. & Niroomand, S. Mathematical formulation and hybrid meta-heuristic algorithms for multiproduct oil pipeline scheduling problem with tardiness penalties. Concurr. Computat. Pract. Exp. 33(17), e6299 (2021). (PMID: 10.1002/cpe.6299)
Heydari, A., Niroomand, S. & Garg, H. An improved weighted principal component analysis integrated with TOPSIS approach for global financial development ranking problem of Middle East countries. Concurr. Computat. Pract. Exp. 34(13), e6923 (2022). (PMID: 10.1002/cpe.6923)
Aghaei Fishani, B., Mahmoodirad, A., Niroomand, S. & Fallah, M. Multi-objective location-allocation-routing problem of perishable multi-product supply chain with direct shipment and open routing possibilities under sustainability. Concurr. Computat. Pract. Exp. 34(11), e6860 (2022). (PMID: 10.1002/cpe.6860)
Ma, P. & Zhou, X. Financing strategies and government incentives in a competing supply chain with Trading-Old-for-Remanufactured programs. CIRP J. Manuf. Sci. Technol. 46, 242–263 (2023). (PMID: 10.1016/j.cirpj.2023.08.008)
Peukert, S., Hörger, M. & Zehner, M. Linking tactical planning and operational control to improve disruption management in global production networks in the aircraft manufacturing industry. CIRP J. Manuf. Sci. Technol. 46, 36–47 (2023). (PMID: 10.1016/j.cirpj.2023.07.009)
Hajiaghaei-Keshteli, M. et al. Designing a multi-period dynamic electric vehicle production-routing problem in a supply chain considering energy consumption. J. Clean. Prod. 421, 138471 (2023). (PMID: 10.1016/j.jclepro.2023.138471)
Heraud, J., Medini, K. & Andersen, A. L. Managing agile ramp-up projects in manufacturing–Status quo and recommendations. CIRP J. Manuf. Sci. Technol. 45, 125–137 (2023). (PMID: 10.1016/j.cirpj.2023.06.002)
Weber, C. A., Current, J. R. & Benton, W. C. Vendor selection criteria and methods. Eur. J. Oper. Res. 50(1), 2–18 (1991). (PMID: 10.1016/0377-2217(91)90033-R)
Mosallaeipour, S., Mahmoodirad, A., Niroomand, S. & Vizvari, B. Simultaneous selection of material and supplier under uncertainty in carton box industries: A fuzzy possibilistic multi-criteria approach. Soft Comput. 22, 2891–2905 (2018). (PMID: 10.1007/s00500-017-2542-6)
Awasthi, A., Chauhan, S. S., Goyal, S. K. & Proth, J. M. Supplier selection problem for a single manufacturing unit under stochastic demand. Int. J. Prod. Econ. 117(1), 229–233 (2009). (PMID: 10.1016/j.ijpe.2008.10.012)
Aghai, S., Mollaverdi, N. & Sabbagh, M. S. A fuzzy multi-objective programming model for supplier selection with volume discount and risk criteria. Int. J. Adv. Manuf. Technol. 71, 1483–1492 (2014). (PMID: 10.1007/s00170-013-5562-0)
Nekooie, M. A., Sheikhalishahi, M. & Hosnavi, R. Supplier selection considering strategic and operational risks: A combined qualitative and quantitative approach. Prod. Eng. 9, 665–673 (2015). (PMID: 10.1007/s11740-015-0643-6)
Arikan, F. An interactive solution approach for multiple objective supplier selection problem with fuzzy parameters. J. Intell. Manuf. 26, 989–998 (2015). (PMID: 10.1007/s10845-013-0782-6)
Abdollahi, M., Arvan, M. & Razmi, J. An integrated approach for supplier portfolio selection: Lean or agile?. Expert Syst. Appl. 42(1), 679–690 (2015). (PMID: 10.1016/j.eswa.2014.08.019)
Niroomand, S., Bazyar, A., Alborzi, M., Miami, H. & Mahmoodirad, A. A hybrid approach for multi-criteria emergency center location problem considering existing emergency centers with interval type data: A case study. J. Ambient Intell. Hum. Comput. 9(6), 1999–2008 (2018). (PMID: 10.1007/s12652-018-0804-5)
Niroomand, S., Mosallaeipour, S., Mahmoodirad, A. & Vizvari, B. A study of a robust multi-objective supplier-material selection problem. IMA J. Manag. Math. 29(3), 325–349 (2018).
Niroomand, S., Mahmoodirad, A. & Mosallaeipour, S. A hybrid solution approach for fuzzy multiobjective dual supplier and material selection problem of carton box production systems. Expert Syst. 36(1), e12341 (2019). (PMID: 10.1111/exsy.12341)
Sanei, M., Mahmoodirad, A., Niroomand, S., Jamalian, A. & Gelareh, S. Step fixed-charge solid transportation problem: A Lagrangian relaxation heuristic approach. Computat. Appl. Math. 36, 1217–1237 (2017). (PMID: 10.1007/s40314-015-0293-5)
Liu, B. Uncertainty Theory 2nd edn. (Springer, 2007).
Niroomand, S., Hadi-Vencheh, A., Mirzaei, N. & Molla-Alizadeh-Zavardehi, S. Hybrid greedy algorithms for fuzzy tardiness/earliness minimisation in a special single machine scheduling problem: Case study and generalisation. Int. J. Comput. Integr. Manuf. 29(8), 870–888 (2016). (PMID: 10.1080/0951192X.2015.1130244)
Jadidi, O. M. I. D., Zolfaghari, S. & Cavalieri, S. A new normalized goal programming model for multi-objective problems: A case of supplier selection and order allocation. Int. J. Prod. Econ. 148, 158–165 (2014). (PMID: 10.1016/j.ijpe.2013.10.005)
Chang, C. T. Multi-choice goal programming. Omega 35(4), 389–396 (2007). (PMID: 10.1016/j.omega.2005.07.009)
Chang, C. T. Revised multi-choice goal programming. Appl. Math. Modell. 32(12), 2587–2595 (2008). (PMID: 10.1016/j.apm.2007.09.008)
Chang, C., Ku, C. & Ho, H. Fuzzy multi-choice goal programming for supplier selection. Int. J. Oper. Res. Inf. Syst. (IJORIS) 1(3), 28–52 (2010). (PMID: 10.4018/joris.2010070103)
Bankian-Tabrizi, B., Shahanaghi, K. & Jabalameli, M. S. Fuzzy multi-choice goal programming. Appl. Math. Model. 36(4), 1415–1420 (2012). (PMID: 10.1016/j.apm.2011.08.040)
Rabieh, M., Modarres, M. & Azar, A. Robust-fuzzy model for supplier selection under uncertainty: An application to the automobile industry. Scientia Iranica 25(4), 2297–2311 (2018).
Mirzaee, H., Naderi, B. & Pasandideh, S. H. R. A preemptive fuzzy goal programming model for generalized supplier selection and order allocation with incremental discount. Comput. Ind. Eng. 122, 292–302 (2018). (PMID: 10.1016/j.cie.2018.05.042)
Jokar, M., Mozafari, M. & Akbari, A. A weighted robust two-stage stochastic optimization model for supplier selection and order allocation under uncertainty. J. Ind. Manag. Persp. 10(2), 111–135 (2020).
Kilic, H. S. & Yalcin, A. S. Modified two-phase fuzzy goal programming integrated with IF-TOPSIS for green supplier selection. Appl. Soft Comput. 93, 106371 (2020). (PMID: 10.1016/j.asoc.2020.106371)
Mosallaeipour, S. Optimization of the Production Planning and Supplier-Material Selection Problems in Carton Box Production Industries. (2017).
Gavrilescu, M., Campean, T. & Gavrilescu, D. A. Extending production waste life cycle and energy saving by eco-innovation and eco-design: The case of packaging manufacturing. In Nearly Zero Energy Communities: Proceedings of the Conference for Sustainable Energy (CSE) 2017 Vol. 5 (ed. Gavrilescu, M.) 611–631 (Springer International Publishing, 2018). (PMID: 10.1007/978-3-319-63215-5_42)
Lo-Iacono-Ferreira, V. G., Viñoles-Cebolla, R., Bastante-Ceca, M. J. & Capuz-Rizo, S. F. Transport of Spanish fruit and vegetables in cardboard boxes: A carbon footprint analysis. J. Clean. Prod. 244, 118784 (2020). (PMID: 10.1016/j.jclepro.2019.118784)
Betul, G. O. K. & Akpinar, D. Investigation of strength and migration of corrugated cardboard boxes. Hittite J. Sci. Eng. 7(3), 163–168 (2020). (PMID: 10.17350/HJSE19030000185)
Buendía, L. et al. An innovative active cardboard box for bulk packaging of fresh bell pepper. Postharvest Biol. Technol. 164, 111171 (2020). (PMID: 10.1016/j.postharvbio.2020.111171)
Tannady, H. & Purwanto, E. Quality control of frame production using DMAIC method in plastic PP corrugated box manufacturer. J. Phys. Conf. Ser. 1783(1), 012078 (2021). (PMID: 10.1088/1742-6596/1783/1/012078)
You, P. S., & Hsieh, Y. C. Heuristic algorithms for carton production scheduling problems with technicians and different machines. Proc. Inst. Mech. Eng. B J. Eng. Manuf. 09544054221128853. (2022).
Chen, L., Peng, J., Zhang, B. & Rosyida, I. Diversified models for portfolio selection based on uncertain semivariance. Int. J. Syst. Sci. 48(3), 637–648 (2017). (PMID: 10.1080/00207721.2016.1206985)
Mahmoodirad, A., Dehghan, R. & Niroomand, S. Modelling linear fractional transportation problem in belief degree—Based uncertain environment. J. Exp. Theor. Artif. Intell. 31(3), 393–408 (2019). (PMID: 10.1080/0952813X.2018.1552318)
Mahmoodirad, A. & Niroomand, S. A belief degree-based uncertain scheme for a bi-objective two-stage green supply chain network design problem with direct shipment. Soft Comput. 24(24), 18499–18519 (2020). (PMID: 10.1007/s00500-020-05085-2)
Mahmoodirad, A. & Niroomand, S. Uncertain location–allocation decisions for a bi-objective two-stage supply chain network design problem with environmental impacts. Expert Syst. 37(5), e12558 (2020). (PMID: 10.1111/exsy.12558)
Shen, J. & Zhu, K. An uncertain two-echelon fixed charge transportation problem. Soft Comput. 24, 3529–3541 (2020). (PMID: 10.1007/s00500-019-04119-8)
Song, Q., Ni, Y. & Ralescu, D. A. The impact of lead-time uncertainty in product configuration. Int. J. Prod. Res. 59(3), 959–981 (2021). (PMID: 10.1080/00207543.2020.1715506)
Niroomand, S. et al. A bi-objective carton box production planning problem with benefit and wastage objectives under belief degree-based uncertainty. Granul. Comput. 9(1), 1 (2024). (PMID: 10.1007/s41066-023-00423-9)
Chang, C. T. Multi-choice goal programming with utility functions. Eur. J. Oper. Res. 215(2), 439–445 (2011). (PMID: 10.1016/j.ejor.2011.06.041)
Jadidi, O., Cavalieri, S. & Zolfaghari, S. An improved multi-choice goal programming approach for supplier selection problems. Appl. Math. Modell. 39(14), 4213–4222 (2015). (PMID: 10.1016/j.apm.2014.12.022)
Tiwari, R. N., Dharmar, S. & Rao, J. Fuzzy goal programming—an additive model. Fuzzy Sets Syst. 24(1), 27–34 (1987). (PMID: 10.1016/0165-0114(87)90111-4)
Ayhan, M. B. & Kilic, H. S. A two stage approach for supplier selection problem in multi-item/multi-supplier environment with quantity discounts. Comput. Ind. Eng. 85, 1–12 (2015). (PMID: 10.1016/j.cie.2015.02.026)
Tan, T. & Alp, O. An integrated approach to inventory and flexible capacity management subject to fixed costs and non-stationary stochastic demand. OR Spectrum 31, 337–360 (2009). (PMID: 10.1007/s00291-008-0122-y)
Asgari, N., Nikbakhsh, E., Hill, A. & Farahani, R. Z. Supply chain management 1982–2015: A review. IMA J. Manag. Math. 27(3), 353–379 (2016).
Hajiaghaei-Keshteli, M. & Fathollahi-Fard, A. M. A set of efficient heuristics and metaheuristics to solve a two-stage stochastic bi-level decision-making model for the distribution network problem. Comput. Ind. Eng. 123, 378–395 (2018). (PMID: 10.1016/j.cie.2018.07.009)
Khalili Goudarzi, F., Maleki, H. R. & Niroomand, S. Mathematical formulation and hybrid meta-heuristic algorithms for multiproduct oil pipeline scheduling problem with tardiness penalties. Concurr. Computat. Pract. Exp. 33(17), e6299 (2021). (PMID: 10.1002/cpe.6299)
Heydari, A., Niroomand, S. & Garg, H. An improved weighted principal component analysis integrated with TOPSIS approach for global financial development ranking problem of Middle East countries. Concurr. Computat. Pract. Exp. 34(13), e6923 (2022). (PMID: 10.1002/cpe.6923)
Aghaei Fishani, B., Mahmoodirad, A., Niroomand, S. & Fallah, M. Multi-objective location-allocation-routing problem of perishable multi-product supply chain with direct shipment and open routing possibilities under sustainability. Concurr. Computat. Pract. Exp. 34(11), e6860 (2022). (PMID: 10.1002/cpe.6860)
Ma, P. & Zhou, X. Financing strategies and government incentives in a competing supply chain with Trading-Old-for-Remanufactured programs. CIRP J. Manuf. Sci. Technol. 46, 242–263 (2023). (PMID: 10.1016/j.cirpj.2023.08.008)
Peukert, S., Hörger, M. & Zehner, M. Linking tactical planning and operational control to improve disruption management in global production networks in the aircraft manufacturing industry. CIRP J. Manuf. Sci. Technol. 46, 36–47 (2023). (PMID: 10.1016/j.cirpj.2023.07.009)
Hajiaghaei-Keshteli, M. et al. Designing a multi-period dynamic electric vehicle production-routing problem in a supply chain considering energy consumption. J. Clean. Prod. 421, 138471 (2023). (PMID: 10.1016/j.jclepro.2023.138471)
Heraud, J., Medini, K. & Andersen, A. L. Managing agile ramp-up projects in manufacturing–Status quo and recommendations. CIRP J. Manuf. Sci. Technol. 45, 125–137 (2023). (PMID: 10.1016/j.cirpj.2023.06.002)
Weber, C. A., Current, J. R. & Benton, W. C. Vendor selection criteria and methods. Eur. J. Oper. Res. 50(1), 2–18 (1991). (PMID: 10.1016/0377-2217(91)90033-R)
Mosallaeipour, S., Mahmoodirad, A., Niroomand, S. & Vizvari, B. Simultaneous selection of material and supplier under uncertainty in carton box industries: A fuzzy possibilistic multi-criteria approach. Soft Comput. 22, 2891–2905 (2018). (PMID: 10.1007/s00500-017-2542-6)
Awasthi, A., Chauhan, S. S., Goyal, S. K. & Proth, J. M. Supplier selection problem for a single manufacturing unit under stochastic demand. Int. J. Prod. Econ. 117(1), 229–233 (2009). (PMID: 10.1016/j.ijpe.2008.10.012)
Aghai, S., Mollaverdi, N. & Sabbagh, M. S. A fuzzy multi-objective programming model for supplier selection with volume discount and risk criteria. Int. J. Adv. Manuf. Technol. 71, 1483–1492 (2014). (PMID: 10.1007/s00170-013-5562-0)
Nekooie, M. A., Sheikhalishahi, M. & Hosnavi, R. Supplier selection considering strategic and operational risks: A combined qualitative and quantitative approach. Prod. Eng. 9, 665–673 (2015). (PMID: 10.1007/s11740-015-0643-6)
Arikan, F. An interactive solution approach for multiple objective supplier selection problem with fuzzy parameters. J. Intell. Manuf. 26, 989–998 (2015). (PMID: 10.1007/s10845-013-0782-6)
Abdollahi, M., Arvan, M. & Razmi, J. An integrated approach for supplier portfolio selection: Lean or agile?. Expert Syst. Appl. 42(1), 679–690 (2015). (PMID: 10.1016/j.eswa.2014.08.019)
Niroomand, S., Bazyar, A., Alborzi, M., Miami, H. & Mahmoodirad, A. A hybrid approach for multi-criteria emergency center location problem considering existing emergency centers with interval type data: A case study. J. Ambient Intell. Hum. Comput. 9(6), 1999–2008 (2018). (PMID: 10.1007/s12652-018-0804-5)
Niroomand, S., Mosallaeipour, S., Mahmoodirad, A. & Vizvari, B. A study of a robust multi-objective supplier-material selection problem. IMA J. Manag. Math. 29(3), 325–349 (2018).
Niroomand, S., Mahmoodirad, A. & Mosallaeipour, S. A hybrid solution approach for fuzzy multiobjective dual supplier and material selection problem of carton box production systems. Expert Syst. 36(1), e12341 (2019). (PMID: 10.1111/exsy.12341)
Sanei, M., Mahmoodirad, A., Niroomand, S., Jamalian, A. & Gelareh, S. Step fixed-charge solid transportation problem: A Lagrangian relaxation heuristic approach. Computat. Appl. Math. 36, 1217–1237 (2017). (PMID: 10.1007/s40314-015-0293-5)
Liu, B. Uncertainty Theory 2nd edn. (Springer, 2007).
Niroomand, S., Hadi-Vencheh, A., Mirzaei, N. & Molla-Alizadeh-Zavardehi, S. Hybrid greedy algorithms for fuzzy tardiness/earliness minimisation in a special single machine scheduling problem: Case study and generalisation. Int. J. Comput. Integr. Manuf. 29(8), 870–888 (2016). (PMID: 10.1080/0951192X.2015.1130244)
Jadidi, O. M. I. D., Zolfaghari, S. & Cavalieri, S. A new normalized goal programming model for multi-objective problems: A case of supplier selection and order allocation. Int. J. Prod. Econ. 148, 158–165 (2014). (PMID: 10.1016/j.ijpe.2013.10.005)
Chang, C. T. Multi-choice goal programming. Omega 35(4), 389–396 (2007). (PMID: 10.1016/j.omega.2005.07.009)
Chang, C. T. Revised multi-choice goal programming. Appl. Math. Modell. 32(12), 2587–2595 (2008). (PMID: 10.1016/j.apm.2007.09.008)
Chang, C., Ku, C. & Ho, H. Fuzzy multi-choice goal programming for supplier selection. Int. J. Oper. Res. Inf. Syst. (IJORIS) 1(3), 28–52 (2010). (PMID: 10.4018/joris.2010070103)
Bankian-Tabrizi, B., Shahanaghi, K. & Jabalameli, M. S. Fuzzy multi-choice goal programming. Appl. Math. Model. 36(4), 1415–1420 (2012). (PMID: 10.1016/j.apm.2011.08.040)
Rabieh, M., Modarres, M. & Azar, A. Robust-fuzzy model for supplier selection under uncertainty: An application to the automobile industry. Scientia Iranica 25(4), 2297–2311 (2018).
Mirzaee, H., Naderi, B. & Pasandideh, S. H. R. A preemptive fuzzy goal programming model for generalized supplier selection and order allocation with incremental discount. Comput. Ind. Eng. 122, 292–302 (2018). (PMID: 10.1016/j.cie.2018.05.042)
Jokar, M., Mozafari, M. & Akbari, A. A weighted robust two-stage stochastic optimization model for supplier selection and order allocation under uncertainty. J. Ind. Manag. Persp. 10(2), 111–135 (2020).
Kilic, H. S. & Yalcin, A. S. Modified two-phase fuzzy goal programming integrated with IF-TOPSIS for green supplier selection. Appl. Soft Comput. 93, 106371 (2020). (PMID: 10.1016/j.asoc.2020.106371)
Mosallaeipour, S. Optimization of the Production Planning and Supplier-Material Selection Problems in Carton Box Production Industries. (2017).
Gavrilescu, M., Campean, T. & Gavrilescu, D. A. Extending production waste life cycle and energy saving by eco-innovation and eco-design: The case of packaging manufacturing. In Nearly Zero Energy Communities: Proceedings of the Conference for Sustainable Energy (CSE) 2017 Vol. 5 (ed. Gavrilescu, M.) 611–631 (Springer International Publishing, 2018). (PMID: 10.1007/978-3-319-63215-5_42)
Lo-Iacono-Ferreira, V. G., Viñoles-Cebolla, R., Bastante-Ceca, M. J. & Capuz-Rizo, S. F. Transport of Spanish fruit and vegetables in cardboard boxes: A carbon footprint analysis. J. Clean. Prod. 244, 118784 (2020). (PMID: 10.1016/j.jclepro.2019.118784)
Betul, G. O. K. & Akpinar, D. Investigation of strength and migration of corrugated cardboard boxes. Hittite J. Sci. Eng. 7(3), 163–168 (2020). (PMID: 10.17350/HJSE19030000185)
Buendía, L. et al. An innovative active cardboard box for bulk packaging of fresh bell pepper. Postharvest Biol. Technol. 164, 111171 (2020). (PMID: 10.1016/j.postharvbio.2020.111171)
Tannady, H. & Purwanto, E. Quality control of frame production using DMAIC method in plastic PP corrugated box manufacturer. J. Phys. Conf. Ser. 1783(1), 012078 (2021). (PMID: 10.1088/1742-6596/1783/1/012078)
You, P. S., & Hsieh, Y. C. Heuristic algorithms for carton production scheduling problems with technicians and different machines. Proc. Inst. Mech. Eng. B J. Eng. Manuf. 09544054221128853. (2022).
Chen, L., Peng, J., Zhang, B. & Rosyida, I. Diversified models for portfolio selection based on uncertain semivariance. Int. J. Syst. Sci. 48(3), 637–648 (2017). (PMID: 10.1080/00207721.2016.1206985)
Mahmoodirad, A., Dehghan, R. & Niroomand, S. Modelling linear fractional transportation problem in belief degree—Based uncertain environment. J. Exp. Theor. Artif. Intell. 31(3), 393–408 (2019). (PMID: 10.1080/0952813X.2018.1552318)
Mahmoodirad, A. & Niroomand, S. A belief degree-based uncertain scheme for a bi-objective two-stage green supply chain network design problem with direct shipment. Soft Comput. 24(24), 18499–18519 (2020). (PMID: 10.1007/s00500-020-05085-2)
Mahmoodirad, A. & Niroomand, S. Uncertain location–allocation decisions for a bi-objective two-stage supply chain network design problem with environmental impacts. Expert Syst. 37(5), e12558 (2020). (PMID: 10.1111/exsy.12558)
Shen, J. & Zhu, K. An uncertain two-echelon fixed charge transportation problem. Soft Comput. 24, 3529–3541 (2020). (PMID: 10.1007/s00500-019-04119-8)
Song, Q., Ni, Y. & Ralescu, D. A. The impact of lead-time uncertainty in product configuration. Int. J. Prod. Res. 59(3), 959–981 (2021). (PMID: 10.1080/00207543.2020.1715506)
Niroomand, S. et al. A bi-objective carton box production planning problem with benefit and wastage objectives under belief degree-based uncertainty. Granul. Comput. 9(1), 1 (2024). (PMID: 10.1007/s41066-023-00423-9)
Chang, C. T. Multi-choice goal programming with utility functions. Eur. J. Oper. Res. 215(2), 439–445 (2011). (PMID: 10.1016/j.ejor.2011.06.041)
Jadidi, O., Cavalieri, S. & Zolfaghari, S. An improved multi-choice goal programming approach for supplier selection problems. Appl. Math. Modell. 39(14), 4213–4222 (2015). (PMID: 10.1016/j.apm.2014.12.022)
Tiwari, R. N., Dharmar, S. & Rao, J. Fuzzy goal programming—an additive model. Fuzzy Sets Syst. 24(1), 27–34 (1987). (PMID: 10.1016/0165-0114(87)90111-4)
Contributed Indexing:
Keywords: Belief-degree-based uncertainty; Cardboard box manufacturing; Goal programming; Multi-objective optimization; Supplier selection
Entry Date(s):
Date Created: 20240905 Latest Revision: 20240908
Update Code:
20260130
PubMed Central ID:
PMC11377818
DOI:
10.1038/s41598-024-71527-8
PMID:
39237558
Database:
MEDLINE
*Further Information*
*In this study a real case multi-objective material and supplier selection problem in cardboard box production industries is studied. This problem for the first time optimizes the objective functions such as total wastage amounts remained from all raw sheets, total costs of the system including purchasing cost and transportation cost (including fixed and variable costs) of the raw sheets, and total overplus of produced cardboard boxes. To be closer to the real situations, as a novelty, the problem is formulated in belief-degree-based uncertain environment with normal distribution where this type of uncertainty applies the ideas of experts. A solution approach including two steps is proposed to solve the problem. In the first step, the proposed uncertain formulation is converted to a crisp form using a typical chance constrained programming scheme. In the second step, a new goal programming approach containing a piecewise penalty function is developed in order to solve the obtained multi-objective crisp formulation. In this approach, based on the ideas of experts, multiple goals are considered with different penalty values. A case study from cardboard box industries is considered to evaluate the proposed formulations and solution approach. According to the obtained results, the proposed solution approach is compared to similar approaches of the literature and its efficiency is studied.
(© 2024. The Author(s).)*