Skip to main content

Advertisement

SpringerLink
Log in

A green routing-location problem in a cold chain logistics network design within the Balanced Score Card pillars in fuzzy environment

  • Published:
Journal of Combinatorial Optimization Aims and scope Submit manuscript

Abstract

Providing a greenhouse gas emissions perspective based on the characteristics of perishable products has made the cold chain an important topic. This paper develops a mixed integer nonlinear programming routing-location model to improve the cold chain logistics network design within the Balanced Score Card (BSC) pillars by maximizing the customer satisfaction and minimizing unit cost and greenhouse gas emissions in order to solve the optimization problem of the marine product distribution logistics system. Seven different costs are considered to deal with the characteristics of the cold chain logistics industry. An uncertain routing-location problem has been analyzed, as well as Methane and Nitrogen Oxide emissions. On the other hand, BSC has been utilized to evaluate the performance of the organization. This paper presents a mathematical optimization model for reducing system costs and evaluating system performance based on BSC, while accounting for greenhouse gas emissions and uncertainty in problem parameter values. The desired model has subsequently been solved using the BARON solver. Due to its consideration of seven types of costs, the proposed model is able to assess the costs of the cold chain logistics system with greater precision, as demonstrated by the findings of this study. In addition, these results indicate that a rise in customer satisfaction raises the overall system’s expenses, but increases customer loyalty. The proposed model assists supply chain managers in selecting the optimal number of distribution centers and the most efficient routes to reduce overall system costs. They can attempt to protect the environment by establishing a relationship between customer satisfaction and greenhouse gas emissions, such as carbon dioxide, methane, and nitrogen oxide.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

Data availability

Due to the nature of this research, data is available within the text.

References

  • Abbaspour S, Aghsami A, Jolai F, Yazdani M (2022) An integrated queueing-inventory-routing problem in a green dual-channel supply chain considering pricing and delivery period: a case study of construction material supplier. J Comput Des Eng 9(5):1917–1951

    Google Scholar 

  • Anderson EW, Sullivan MW (1993) The antecedents and consequences of customer satisfaction for firms. Mark Sci 12:125–143

    Google Scholar 

  • Babagolzadeh M, Shrestha A, Abbasi B, Zhang Y, Woodhead A, Zhang A (2020) Sustainable cold supply chain management under demand uncertainty and carbon tax regulation. Transp Res Part D: Transp Environ 80:102245

    Google Scholar 

  • Bai Q, Yin X, Lim MK, Dong C (2021) Low-carbon VRP for cold chain logistics considering real-time traffic conditions in the road network. Ind Manag Data Syst

  • Barkaoui M, Berger J, Boukhtouta A (2015) Customer satisfaction in dynamic vehicle routing problem with time windows. Appl Soft Comput 35:423–432

    Google Scholar 

  • Bezerra LM, Silva VMD, Da Silva DL (2022) Integrated thermal and routing analysis applied for cold supply chain. J Food Process Preserv 46:e16824

    Google Scholar 

  • Cheng R, Gen M, Tozawa T (1995) Vehicle routing problem with fuzzy due-time using genetic algorithms. J Jpn Soc Fuzzy Theory Syst 7(5):1050–1061

  • Chung LM, Wirtz J (1998) Book review: satisfaction: a behavioral perspective on the consumer. Asia Pac J Manag 15:285–286

    Google Scholar 

  • Dantzig GB, Ramser JH (1959) The truck dispatching problem. Manag Sci 6:80–91

    MathSciNet  MATH  Google Scholar 

  • Dekker R, Bloemhof J, Mallidis I (2012) Operations Research for green logistics—an overview of aspects, issues, contributions and challenges. Eur J Oper Res 219:671–679

    Google Scholar 

  • Ehsani B, Karimi H, Bakhshi A, Aghsami A, Rabbani M (2023) Designing humanitarian logistics network for managing epidemic outbreaks in disasters using Internet-of-Things. A case study: an earthquake in Salas-e-Babajani city. Comput Ind Eng 175:108821

    Google Scholar 

  • Ghannadpour SF, Noori S, Tavakkoli-Moghaddam R (2014) A multi-objective vehicle routing and scheduling problem with uncertainty in customers’ request and priority. J Comb Optim 28:414–446

    MathSciNet  MATH  Google Scholar 

  • Golrizgashti S (2014) Supply chain value creation methodology under BSC approach. J Ind Eng Int 10:1–15

    Google Scholar 

  • Guo H-X, Shao M (2012) Process reengineering of cold chain logistics of agricultural products based on low-carbon economy. Asian Agric Res 4:59–62

    Google Scholar 

  • Gupta P, Govindan K, Mehlawat MK, Khaitan A (2022) Multiobjective capacitated green vehicle routing problem with fuzzy time-distances and demands split into bags. Int J Prod Res 60:2369–2385

    Google Scholar 

  • Habibur Rahman M, Fashiar Rahman M, Tseng T-L (2022) Estimation of fuel consumption and selection of the most carbon-efficient route for cold-chain logistics. Int J Syst Sci Oper Logist 1–17

  • Hunt HK (1977) Conceptualization and measurement of consumer satisfaction and dissatisfaction: proceedings of conference conducted by Marketing Science Institute with support of National Science Foundation. Marketing Science Institute

    Google Scholar 

  • Jalilvand S, Heidari S, Mohammadnazari Z, Aghsami A, Rabbani E, Rabbani M (2023) A bi-objective organ transplant supply chain network with recipient priority considering carbon emission under uncertainty, a case study. Process Integr Optim Sustain 1–19

  • Jecker NS, Wightman AG, Diekema DS (2021) Vaccine ethics: an ethical framework for global distribution of COVID-19 vaccines. J Med Ethics 47:308–317

    Google Scholar 

  • Ji Y, Yang H, Yong Z (2015) Vehicle routing problem with simultaneous delivery and pickup for cold-chain logistics. In: Proceedings of the international conference on modelling, simulation and applied mathematics, Phuket, Thailand, pp 70–74

  • Johnson MD, Fornell C (1991) A framework for comparing customer satisfaction across individuals and product categories. J Econ Psychol 12:267–286

    Google Scholar 

  • Kaplan RS, Norton DP, Horváth P (1997) Balanced scorecard. Schäffer-Poeschel

    Google Scholar 

  • Keshavarz-Ghorbani F, Pasandideh SHR (2021) Modeling and optimizing an agro-supply chain considering different quality grades and storage systems for fresh products: a Benders decomposition solution approach. J Comb Optim 1–30

  • Lakshmisha I, Ravishankar C, Ninan G, Mohan CO, Gopal T (2008) Effect of freezing time on the quality of Indian mackerel (Rastrelliger kanagurta) during frozen storage. J Food Sci 73:S345–S353

    Google Scholar 

  • Lenstra JK, Kan AR (1981) Complexity of vehicle routing and scheduling problems. Networks 11:221–227

    Google Scholar 

  • Li J, Zhang J (2014) Study on the effect of carbon emission trading mechanism on logistics distribution routing decisions. Syst Eng Theory Pract 34:1779–1787

    MathSciNet  Google Scholar 

  • Li S, Wang Z, Wang X, Zhang D, Liu Y (2019) Integrated optimization model of a biomass feedstock delivery problem with carbon emissions constraints and split loads. Comput Ind Eng 137:106013

    Google Scholar 

  • Li Y, Lim MK, Tseng M-L (2018) A green vehicle routing model based on modified particle swarm optimization for cold chain logistics. Ind Manag Data Syst

  • Liao TY (2017) On-line vehicle routing problems for carbon emissions reduction. Comput Aid Civ Infrastruct Eng 32:1047–1063

    Google Scholar 

  • Lin Q-L, Liu L, Liu H-C, Wang D-J (2013) Integrating hierarchical balanced scorecard with fuzzy linguistic for evaluating operating room performance in hospitals. Expert Syst Appl 40:1917–1924

    Google Scholar 

  • Lin C, Ting S-F, Lee L, Lin S-T (2021) Firm capability assessment via the BSC and DEA. Ind Manag Data Syst

  • Liu G, Hu J, Yang Y, Xia S, Lim MK (2020) Vehicle routing problem in cold Chain logistics: a joint distribution model with carbon trading mechanisms. Resour Conserv Recycl 156:104715

    Google Scholar 

  • Meneghetti A, Monti L (2015) Greening the food supply chain: an optimisation model for sustainable design of refrigerated automated warehouses. Int J Prod Res 53:6567–6587

    Google Scholar 

  • Naderipour M, Alinaghian M (2016) Measurement, evaluation and minimization of CO2, NOx, and CO emissions in the open time dependent vehicle routing problem. Measurement 90:443–452

    Google Scholar 

  • Niu Y, Yang Z, Chen P, Xiao J (2018) Optimizing the green open vehicle routing problem with time windows by minimizing comprehensive routing cost. J Clean Prod 171:962–971

    Google Scholar 

  • Navidi S, Motamedi M, Aghsami A, Jolai F (2022) AG/M/C//M queueing model for revenue management of shovel-truck systems in an open-pit mine considering carbon emission, a case study. Int J Manag Sci Eng Manag 1–16

  • Qin G, Tao F, Li L (2019) A vehicle routing optimization problem for cold chain logistics considering customer satisfaction and carbon emissions. Int J Environ Res Public Health 16:576

    Google Scholar 

  • Rabbani A, Zamani M, Yazdani-Chamzini A, Zavadskas EK (2014) Proposing a new integrated model based on sustainability balanced scorecard (SBSC) and MCDM approaches by using linguistic variables for the performance evaluation of oil producing companies. Expert Syst Appl 41:7316–7327

    Google Scholar 

  • Rabta B, Wankmüller C, Reiner G (2018) A drone fleet model for last-mile distribution in disaster relief operations. Int J Disaster Risk Reduct 28:107–112

    Google Scholar 

  • Solomon MM (1984) Vehicle routing and scheduling with time window constraints: models and algorithms

  • Song M-X, Li J-Q, Han Y-Q, Han Y-Y, Liu L-L, Sun Q (2020) Metaheuristics for solving the vehicle routing problem with the time windows and energy consumption in cold chain logistics. Appl Soft Comput 95:106561

    Google Scholar 

  • Stewart AC, Carpenter-Hubin J (2001) The balanced scorecard. Plan High Edu 37–42

  • Torabzadeh SA, Nejati E, Aghsami A, Rabbani M (2022) A dynamic multi-objective green supply chain network design for perishable products in uncertain environments, the coffee industry case study. Int J Manag Sci Eng Manag 17(3):220–237

    Google Scholar 

  • Tzeng G-H, Cheng H-J, Huang TD (2007) Multi-objective optimal planning for designing relief delivery systems. Transp Res Part E Logist Transp Rev 43:673–686

    Google Scholar 

  • Verwijmeren M, Van Der Vlist P, Van Donselaar K (1996) Networked inventory management information systems: materializing supply chain management. Int J Phys Distrib Logist Manag

  • Wang S, Sun H, Mou J, Jin H (2016) Optimization and efficiency of multi-temperature joint distribution of cold chain products: comparative study based on cold accumulation mode and mechanical refrigeration mode. J Highw Transp Res Dev 33:146–153

    Google Scholar 

  • Wang S, Tao F, Shi Y (2018a) Optimization of inventory routing problem in refined oil logistics with the perspective of carbon tax. Energies 11:1437

    Google Scholar 

  • Wang S, Tao F, Shi Y (2018b) Optimization of location–routing problem for cold chain logistics considering carbon footprint. Int J Environ Res Public Health 15:86

    Google Scholar 

  • Wang M, Wang Y, Liu W, Ma Y, Xiang L, Yang Y, Li X (2021) How to achieve a win–win scenario between cost and customer satisfaction for cold chain logistics? Physica A 566:125637

    Google Scholar 

  • Xiao Y, Zhao Q, Kaku I, Xu Y (2012) Development of a fuel consumption optimization model for the capacitated vehicle routing problem. Comput Oper Res 39:1419–1431

    MathSciNet  MATH  Google Scholar 

  • Yang T, Fu C, Liu X, Pei J, Liu L, Pardalos PM (2018) Closed-loop supply chain inventory management with recovery information of reusable containers. J Comb Optim 35:266–292

    MathSciNet  MATH  Google Scholar 

  • Yoro KO, Daramola MO (2020) CO2 emission sources, greenhouse gases, and the global warming effect. In: Advances in carbon capture. Elsevier

  • Zare-Reisabadi E, Mirmohammadi SH (2015) Site dependent vehicle routing problem with soft time window: modeling and solution approach. Comput Ind Eng 90:177–185

    Google Scholar 

  • Zhang Y, Chen X (2014) An optimization model for the vehicle routing problem in multi-product frozen food delivery. J Appl Res Technol 12:239–250

    Google Scholar 

  • Zhang J, Wang W, Zhao Y, Cattani C (2012) Multiobjective quantum evolutionary algorithm for the vehicle routing problem with customer satisfaction. Math Probl Eng 2012

  • Zhang J, Zhao Y, Xue W, Li J (2015) Vehicle routing problem with fuel consumption and carbon emission. Int J Prod Econ 170:234–242

    Google Scholar 

  • Zhang L-Y, Tseng M-L, Wang C-H, Xiao C, Fei T (2019) Low-carbon cold chain logistics using ribonucleic acid-ant colony optimization algorithm. J Clean Prod 233:169–180

    Google Scholar 

  • Zhang Y, Hua G, Cheng T, Zhang J (2020) Cold chain distribution: How to deal with node and arc time windows? Ann Oper Res 291:1127–1151

    MathSciNet  Google Scholar 

Download references

Funding

The authors declare that no funds, Grants, or other support were received during the preparation of this manuscript.

Author information

Authors and Affiliations

  1. School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran

    Benyamin Moghaddasi, Amir Salar Ghafari Majid, Amir Aghsami & Masoud Rabbani

  2. Kingston Business School, Kingston University, Kingston Hill, Kingston upon Thames, UK

    Zahra Mohammadnazari

  3. School of Industrial Engineering, K. N. Toosi University of Technology, Tehran, Iran

    Amir Aghsami

Authors
  1. Benyamin Moghaddasi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Amir Salar Ghafari Majid
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zahra Mohammadnazari
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Amir Aghsami
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Masoud Rabbani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Masoud Rabbani.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moghaddasi, B., Majid, A.S.G., Mohammadnazari, Z. et al. A green routing-location problem in a cold chain logistics network design within the Balanced Score Card pillars in fuzzy environment. J Comb Optim 45, 129 (2023). https://doi.org/10.1007/s10878-023-01056-z

Download citation

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10878-023-01056-z

Keywords

Search

Navigation