Soft Systems Methodology as a Conceptual Framework for Vehicle Routing Problem

(Case Study of the Indonesian Fertilizer Industry)

Authors

DOI:

https://doi.org/10.12928/si.v24i1.584

Keywords:

CATWOE, Causal loop diagram, Soft system methodology, Vehicle routing problem

Abstract

Indonesia’s archipelagic geography and uneven infrastructure pose persistent challenges to the distribution of subsidized fertilizer, a strategic commodity critical to national food security. While Vehicle Routing Problem (VRP) models are widely applied to improve logistical efficiency, existing studies predominantly focus on algorithmic optimization and pay limited attention to policy constraints, stakeholder complexity, and service trade-offs in regulated distribution systems. This study addresses this limitation by developing a conceptual VRP framework grounded in Soft Systems Methodology (SSM), positioning fertilizer distribution as a policy-constrained socio-technical system. The research follows Check land’s seven-stage SSM process, moving from unstructured problem exploration to the identification of feasible and desirable changes. Supporting tools include VOSviewer for literature mapping, Rich Pictures for stakeholder representation, CATWOE for system definition, and Causal Loop Diagrams (CLD) to capture dynamic interdependencies. The analysis of a multi-echelon distribution network demonstrates that inefficiencies arise not merely from routing limitations but from structural misalignment among routing efficiency, service capacity, inventory control, and government subsidy ceilings. A key insight is the inherent trade-off between cost minimization and service responsiveness in subsidized logistics systems. The study contributes theoretically by reframing VRP within systems thinking, methodologically by integrating qualitative structuring with optimization design, and practically by offering a reusable framework for transparent and policy-responsive public logistics management.

References

Abdirad, M., & Krishnan, K. (2022). Examining the impact of E-supply chain on service quality and customer satisfaction: a case study. International Journal of Quality and Service Sciences, 14(2), 274–290. https://doi.org/10.1108/IJQSS-08-2020-0131

Anokic, A., Stanimirovic, Z., Stakic, D., & Davidovic, T. (2021). Metaheuristic approaches to a vehicle scheduling problem in sugar beet transportation. Operational Research, 21(3), 2021–2053. https://doi.org/10.1007/s12351-019-00495-z

Arvianto, A., Cahyani, D. C., & Saputra, D. W. N. (2025). Optimizing Container Repositioning Using a Sequential Insertion Algorithm for Pickup-Delivery Routing in Export-Import Operations. In Spektrum Industri. https://doi.org/10.12928/si.v23i1.349

Fahmid, I. M., Jamil, A., Wahyudi, Agustian, A., Hatta, M., Aldillah, R., Yofa, R. D., Sumedi, Sumaryanto, & Susilowati, S. H. (2022). Study of the impact of increasing the highest retail price of subsidized fertilizer on rice production in Indonesia. Open Agriculture, 7(1), 348–359. https://doi.org/10.1515/opag-2022-0087

Fatorachian, H., & Kazemi, H. (2021). Impact of Industry 4.0 on supply chain performance. Production Planning & Control, 32(1), 63–81. https://doi.org/10.1080/09537287.2020.1712487

Firmansyah, F., Mawengkang, H., Mujib, A., & Mathelinea, D. (2022). A Decision Model to Plan Optimally Production-Distribution of Seafood Product with Multiple Locations. Mathematics, 10(18), 3240. https://doi.org/10.3390/math10183240

Giaglis, G. M., Minis, I., Tatarakis, A., & Zeimpekis, V. (2004). Minimizing logistics risk through real-time vehicle routing and mobile technologies. International Journal of Physical Distribution & Logistics Management, 34(9), 749–764. https://doi.org/10.1108/09600030410567504

Gilbert, J., & Pratt-Adams, S. (2022). Systems Thinking and Soft Systems Methodology. In Soft Systems Methodology in Education (pp. 3–34). Springer International Publishing. https://doi.org/10.1007/978-3-030-99225-5_1

Jaboob, A. S., Awain, A. M. B., Ali, K. A. M., & Mohammed, A. M. (2024). Introduction to Operation and Supply Chain Management for Entrepreneurship (pp. 52–80). https://doi.org/10.4018/979-8-3693-1846-1.ch004

Khan, A. S. (2022). Multi-Objective Optimization of a Cost-Effective Modular Reconfigurable Manufacturing System: An Integration of Product Quality and Vehicle Routing Problem. IEEE Access, 10, 5304–5326. https://doi.org/10.1109/ACCESS.2021.3137563

Konstantakopoulos, G. D., Gayialis, S. P., & Kechagias, E. P. (2022). Vehicle routing problem and related algorithms for logistics distribution: a literature review and classification. Operational Research, 22(3), 2033–2062. https://doi.org/10.1007/s12351-020-00600-7

Kumari, M., De, P. K., Chaudhuri, K., & Narang, P. (2023). Utilizing a hybrid metaheuristic algorithm to solve capacitated vehicle routing problem. Results in Control and Optimization, 13, 100292. https://doi.org/10.1016/j.rico.2023.100292

Lu, W., Choi, S.-B., & Yeo, G.-T. (2022). Resilient route selection of oversized cargo transport: the case of South Korea–Kazakhstan. The International Journal of Logistics Management, 33(2), 410–430. https://doi.org/10.1108/IJLM-11-2020-0445

Majeed, M., Asare, C., Fatawu, A., & Abubakari, A. (2022). An analysis of the effects of customer satisfaction and engagement on social media on repurchase intention in the hospitality industry. Cogent Business & Management, 9(1). https://doi.org/10.1080/23311975.2022.2028331

Malichova, E., Cornet, Y., & Hudak, M. (2022). Travellers’ use and perception of travel time in long-distance trips in Europe. Travel Behaviour and Society, 27, 95–106. https://doi.org/10.1016/j.tbs.2021.12.003

Monsuur, F., Enoch, M., Quddus, M., & Meek, S. (2021). Modelling the impact of rail delays on passenger satisfaction. Transportation Research Part A: Policy and Practice, 152, 19–35. https://doi.org/10.1016/j.tra.2021.08.002

Mor, A., & Speranza, M. G. (2022). Vehicle routing problems over time: a survey. Annals of Operations Research, 314(1), 255–275. https://doi.org/10.1007/s10479-021-04488-0

Nurhasanah, N., Machfud, Mangunwidjaja, D., & Romli, M. (2020). The Application of Soft System Methodology to design the Conceptual Model for Intelligent Supply Chain Model of Natural Fibre Agroindustry. IOP Conference Series: Materials Science and Engineering, 847(1), 012089. https://doi.org/10.1088/1757-899X/847/1/012089

Osorio-Mora, A., Soto-Bustos, M., Gatica, G., Palominos, P., & Linfati, R. (2021). The Multi-Depot Cumulative Vehicle Routing Problem With Mandatory Visit Times and Minimum Delayed Latency. IEEE Access, 9, 27210–27225. https://doi.org/10.1109/ACCESS.2021.3058242

Pak, Y.-J., & Mun, K.-H. (2024). A practical vehicle routing problem in small and medium cities for fuel consumption minimization. Cleaner Logistics and Supply Chain, 12, 100164. https://doi.org/10.1016/j.clscn.2024.100164

Pratiwi, E. B., Prajitno, P., & Kurniawan, E. (2024). ELM-based control system applications: A bibliometric analysis and review. Journal of Mechatronics, Electrical Power, and Vehicular Technology, 15(1), 68–81. https://doi.org/10.55981/j.mev.2024.889

Pu, X., Lu, X., & Han, G. (2022). An improved optimization algorithm for a multi-depot vehicle routing problem considering carbon emissions. Environmental Science and Pollution Research, 29(36), 54940–54955. https://doi.org/10.1007/s11356-022-19370-0

Puspitasari, F. H., & Kurniawan, V. R. B. (2021). Designing Optimal Distribution Routes using a Vehicle Routing Problem (VRP) Model in a Logistics Service Provider. IOP Conference Series: Materials Science and Engineering, 1071(1), 012005. https://doi.org/10.1088/1757-899X/1071/1/012005

Qin, G., Tao, F., & Li, L. (2019). A Vehicle Routing Optimization Problem for Cold Chain Logistics Considering Customer Satisfaction and Carbon Emissions. International Journal of Environmental Research and Public Health, 16(4), 576. https://doi.org/10.3390/ijerph16040576

Raza, S. M., Sajid, M., & Singh, J. (2022). Vehicle Routing Problem Using Reinforcement Learning: Recent Advancements (pp. 269–280). https://doi.org/10.1007/978-981-19-0840-8_20

Reynolds, M., & Holwell, S. (Eds.). (2010). Systems Approaches to Managing Change: A Practical Guide. Springer London. https://doi.org/10.1007/978-1-84882-809-4

Ricome, A., Barreiro-Hurle, J., & Sadibou Fall, C. (2024). Government fertilizer subsidies, input use, and income: The case of Senegal. Food Policy, 124, 102623. https://doi.org/10.1016/j.foodpol.2024.102623

Rijal, A., Bijvank, M., & de Koster, R. (2023). Dynamics between warehouse operations and vehicle routing. Production and Operations Management, 32(11), 3575–3593. https://doi.org/10.1111/poms.14051

Rodriguez-Ulloa, R., & Paucar-Caceres, A. (2005). Soft System Dynamics Methodology (SSDM): Combining Soft Systems Methodology (SSM) and System Dynamics (SD). Systemic Practice and Action Research, 18(3), 303–334. https://doi.org/10.1007/s11213-005-4816-7

Rostami, B., Desaulniers, G., Errico, F., & Lodi, A. (2021). Branch-Price-and-Cut Algorithms for the Vehicle Routing Problem with Stochastic and Correlated Travel Times. Operations Research, 69(2), 436–455. https://doi.org/10.1287/opre.2020.2037

Russo, F., & Comi, A. (2021). Sustainable Urban Delivery: The Learning Process of Path Costs Enhanced by Information and Communication Technologies. Sustainability, 13(23), 13103. https://doi.org/10.3390/su132313103

Sbai, I., Krichen, S., & Limam, O. (2022). Two meta-heuristics for solving the capacitated vehicle routing problem: the case of the Tunisian Post Office. Operational Research, 22(1), 507–549. https://doi.org/10.1007/s12351-019-00543-8

Seki, Y., Sutrisna, M., & Olanipekun, A. O. (2021). Integrating a rich picture diagram and causal loop diagram to model stakeholder engagement in building refurbishment projects. Engineering, Construction and Architectural Management, 28(7), 1929–1951. https://doi.org/10.1108/ECAM-05-2020-0342

Sherif, S. U., Asokan, P., Sasikumar, P., Mathiyazhagan, K., & Jerald, J. (2021). Integrated optimization of transportation, inventory and vehicle routing with simultaneous pickup and delivery in two-echelon green supply chain network. Journal of Cleaner Production, 287, 125434. https://doi.org/10.1016/j.jclepro.2020.125434

Shokouhifar, M., Sohrabi, M., Rabbani, M., Molana, S. M. H., & Werner, F. (2023). Sustainable Phosphorus Fertilizer Supply Chain Management to Improve Crop Yield and P Use Efficiency Using an Ensemble Heuristic–Metaheuristic Optimization Algorithm. Agronomy, 13(2), 565. https://doi.org/10.3390/agronomy13020565

Sihombing, V., Yandri, E., Pramono, K. P., & Ariati, R. (2025). Advances in building energy management systems (BEMS): A comprehensive review with bibliometric analysis and future research directions. Journal of Mechatronics, Electrical Power, and Vehicular Technology, 16(1), 27–41. https://doi.org/10.55981/j.mev.2025.961

Sluijk, N., Florio, A. M., Kinable, J., Dellaert, N., & Van Woensel, T. (2023). Two-echelon vehicle routing problems: A literature review. European Journal of Operational Research, 304(3), 865–886. https://doi.org/10.1016/j.ejor.2022.02.022

Srivatsa Srinivas, S., & Gajanand, M. S. (2017). Vehicle routing problem and driver behaviour: a review and framework for analysis. Transport Reviews, 37(5), 590–611. https://doi.org/10.1080/01441647.2016.1273276

Stowell, F. (2024). The Art of Soft Systems Inquiry: Retracing the Footsteps of Churchman and Checkland. Systemic Practice and Action Research, 37(6), 1123–1140. https://doi.org/10.1007/s11213-024-09689-9

Sulemana, A., Donkor, E. A., Forkuo, E. K., & Oduro-Kwarteng, S. (2019). Effect of optimal routing on travel distance, travel time and fuel consumption of waste collection trucks. Management of Environmental Quality: An International Journal, 30(4), 803–832. https://doi.org/10.1108/MEQ-07-2018-0134

Wilson, B., & Van Haperen, K. (2015). Soft Systems Thinking, Methodology and the Management of Change. Macmillan Education UK. https://doi.org/10.1007/978-1-137-43269-8

Xu, G., & Lyu, Q. (2021). Vehicle Routing Problem for Collaborative Multidepot Petrol Replenishment under Emergency Conditions. Journal of Advanced Transportation, 2021, 1–20. https://doi.org/10.1155/2021/5531500

Yang, F., & Tao, F. (2023). A Bi-Objective Optimization VRP Model for Cold Chain Logistics: Enhancing Cost Efficiency and Customer Satisfaction. IEEE Access, 11, 127043–127056. https://doi.org/10.1109/ACCESS.2023.3332145

Zarezadeh, M. (2024). Applying Soft Systems Methodology to implement strategy in the organization: A case study of improving the motivation system of Statistic Center. In Journal of Systems Thinking in Practice. jstinp.um.ac.ir. https://doi.org/10.22067/jstinp.2024.86313.1087

Zhang, H., Ge, H., Yang, J., & Tong, Y. (2022). Review of Vehicle Routing Problems: Models, Classification and Solving Algorithms. Archives of Computational Methods in Engineering, 29(1), 195–221. https://doi.org/10.1007/s11831-021-09574-x

Published

2026-04-29

How to Cite

Gapura Bhagya, T., Maulidya, R., Moengin, P. ., & Cahyati, S. (2026). Soft Systems Methodology as a Conceptual Framework for Vehicle Routing Problem: (Case Study of the Indonesian Fertilizer Industry). Spektrum Industri, 24(1), 161–175. https://doi.org/10.12928/si.v24i1.584

Issue

Section

Logistics and Supply Chain Management