A System Dynamics Model to Support Transportation Procurement Based on the Logistical Costs of Potato Distribution in Mexico
Abstract
1. Introduction
2. Literature Review
3. Materials and Methods
4. Results
- Average diesel consumption nationally = 2.25 km/L
- Average diesel consumption per container per national truck = 63 L/truck
- Average diesel consumption per export = 2.07 km/L
- Average diesel consumption per export container = 70.86 L/truck
- Average diesel cost per export = 24.36 MX$/L
- Average diesel price nationally = 23.9 MX$/L
- Average distance traveled by exports = 1173 km/truck
- Average distance traveled nationally = 848 km/truck
- Average extra expenses nationally = 19.60 MX$/truck
- Average extra expenses per export = 54.68 MX$/truck
5. Discussion
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| SD | System Dynamics |
| GUI | Graphical User Interface |
| MCDM | Multicriteria decision-making |
| TOPSIS | Technique for Order of Preference by Similarity to Ideal Solution |
| FUCA | Faire Un Choix Adéquat |
| R | Reinforcement loop |
| B | Balancing loop |
| MARR | Minimum Attractive Rate of Return |
| NPV | Net Present Value |
| PV | Present Value |
| IRR | Internal Rate of Return |
| US | United States |
Appendix A
Appendix A.1
| Authors | Principal Contributions |
| Lasso [5] | Studied parcel delivery routes using computational simulation and constraint analysis to improve delivery times, reduce travel distances, and lower courier system costs. |
| Van Tang et al. [6] | Developed a multi-objective optimization model combined with genetic algorithms to minimize agricultural logistics costs and environmental impact while considering capacity and delivery time windows. |
| Acosta-Agudelo et al. [7] | Analyzed agricultural intermediaries and proposed collaborative shipment agreements for products of similar origin to reduce transportation and distribution costs. |
| Shahbahrami et al. [8] | Applied system dynamics to simulate pharmaceutical supply chain performance over 24 months, evaluating policies and visualizing impacts on profits and product trends. |
| Kamran et al. [9] | Designed a multi-objective, multi-period, and multi-product simulation model for production, distribution, facility location, allocation, and inventory decisions. |
| Zhang and Wang [10] | Proposed a dynamic programming model based on adaptive ant colony optimization to improve routing efficiency, reduce transportation costs, and minimize cargo losses. |
| Hamoudi et al. [11] | Achieved a 15% reduction in operating costs and a 20% improvement in delivery times using dynamic programming with real-world constraints such as traffic and capacity. |
| Rodríguez et al. [12] | Developed a genetic algorithm-based mathematical model for distribution scenario simulation, reducing operating costs by 25% and improving delivery times by 20%. |
| Yang and Chang [13] | Applied the savings algorithm to redesign distribution routes, improving vehicle load factors, mileage efficiency and reducing logistics costs. |
| Iparraguirre and Coral [14] | Developed advanced routing technologies and real-time decision-making systems for dynamic logistics environments while identifying infrastructure limitations. |
| Álvarez et al. [15] | Established three logistical optimization models focused on minimizing distance, time, or combined economic cost across regional, urban, and local scenarios. |
| Jiang et al. [16] | Integrated dynamic demand behavior with genetic algorithms for route optimization, reducing carbon emissions and lowering total logistics costs by 17.13%. |
| Katon et al. [17] | Used system dynamics to generate and evaluate 12 supply chain scenarios, selecting the most efficient based on minimizing product shortages. |
| Liu et al. [18] | Proposed a system dynamics model emphasizing agility and flexibility indicators through cause–effect analysis to optimize organizational performance. |
| Jonsdottir et al. [19] | Demonstrated that system dynamics is an innovative tool for sustainable business model development, enabling scenario evaluation and identification of strategic leverage points. |
| Jin et al. [20] | Identified SD applications in inventory management, risk management, supply chain financing, and ecological supply chain management. |
| Cadenas et al. [21] | Developed a mathematical SD model integrating strategic thinking, project management, and production using differential equations to explain system growth and decline patterns. |
| Łatuszyńska and Borawska [22] | Evaluated SD models for strategic investment decision-making by incorporating feedback loops, delays, and nonlinear business dynamics. |
| Khakdaman et al. [23] | Integrated regulations, sustainability trends, technological investments, and environmental requirements into SD models for sustainable supply chain assessment. |
| Dongle and Khalafalla [24] | Created a modeling framework for policy and resource dynamics in construction, highlighting regulatory reform and workforce training as key to reducing project cost overruns by 28%. |
Appendix A.2. Examples of Equations Related to the Explanation of Certain Figures in the Final Model
- Average_cost_per_national_trip = ((Average_distance_traveled_nationally/Average_diesel_consumption_nationally) × Average_diesel_price_nationally) + (Average_diesel_consumption_per_box_per_national_truck × Average_diesel_price_nationally) + Average_payment_to_national_driver + Average_extra_expenses_nationally + Average_provable_expenses_nationally + Average_commission_nationally + Average_unprovable_expenses_nationally
- Average_cost_per_export_trip_to_US = ((Average_distance_traveled_by_exports/Average_diesel_consumption_per_export) × Average_diesel_cost_per_export) + (Average_diesel_consumption_per_export_container × Average_diesel_cost_per_export) + Average_payment_to_export_driver + Average_extra_expenses_per_export + Average_allowable_export_expenses + Average_unallowable_export_expenses + “Average_payment_per_semi-trailer” + Average_commission_per_export
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| Diagram | Variable or Parameter | Description |
|---|---|---|
| Causal Loops | Demand | Tons of potatoes that customers seek to transport each day. Presented mainly in multiples of 50. |
| Transportation opportunity | Demand that other companies cannot meet and, therefore, can be filled. | |
| Trips | These are the number of trips vehicles make to complete a delivery. | |
| Kilometers traveled | Total kilometers traveled per trip by each vehicle. | |
| Diesel | Amount of diesel each vehicle uses to complete each trip. | |
| Cost per trip | Total of all expenses involved in completing a trip. | |
| Revenue | Payments the company receives for its services | |
| Profit | Net income (revenue minus operating costs). | |
| Quantity transported | Amount of potatoes transported from the producer to the customer | |
| Resources | Amount of machinery, equipment, personnel, money, etc., required for the organization’s operations. | |
| Transportation equipment | Number of trailers and boxes needed to provide the distribution service. | |
| Satisfied demand | Number of trips requested by the customer that were completed. | |
| Unmet demand | Number of trips requested by the customer that were not carried out. | |
| Investment | Amount of money required to purchase new transportation equipment | |
| Annual payments | Annual amount to be paid to cover the investor’s contribution and corresponding interest. | |
| Forrester | Loading time | Represents the time it takes to load the truck with the quantity requested by the customer. |
| Documentation | Equivalent to the time it takes to complete the paperwork to begin the trip. | |
| Travel time | This is the time it takes to reach each of the destinations included in the routes under study. | |
| Truck trips | These are the total number of trips made by each truck individually. | |
| % Export | This is the percentage of total trips made for export. | |
| Investment | Amount to be invested in the purchase of a new vehicle to meet increased demand. | |
| Annual payment | Annual payment to cover the purchase of the vehicle on credit. |
| Variable | Real Data | Simulated Data | % Relative Error |
|---|---|---|---|
| Total annual trips | 473 | 494 | 4.44% |
| Sales | 22,155,106 | 21.1 M | 4.76% |
| Gross margin | 38.05% | 41.3% | 4.60% |
| Net margin | 11.4% | 11.9% | 4.39% |
| Value | Concept | Comments |
|---|---|---|
| 1 | Equal importance | Criterion A is just as important as criterion B |
| 3 | Moderate importance | Experience and judgment slightly favor criterion A over B |
| 5 | Strong importance | Experience and judgment strongly favor criterion A over B |
| 7 | Very strong importance | Criterion A is much more important than criterion B |
| 9 | Extreme importance | The greater importance of criterion A over B is beyond all doubt |
| 2, 4, 6, and 8 | Intermediate values | Intermediate values between the previous ones, when it is necessary to make distinctions |
| NPV | IRR | Gross Margin | Net Margin | |
|---|---|---|---|---|
| NPV | 1 | 1/3 | 3 | 1 |
| IRR | 3 | 1 | 3 | 1/3 |
| Gross margin | 1/3 | 1/3 | 1 | 1 |
| Net margin | 1 | 3 | 1 | 1 |
| 5.3333 | 4.6667 | 8 | 3.3333 |
| Sum | Weighting | Percentage Achieved | Validated Percentage | ||||
|---|---|---|---|---|---|---|---|
| 0.19 | 0.07 | 0.38 | 0.30 | 0.93 | 0.2335 | 23.35% | 25% |
| 0.56 | 0.21 | 0.38 | 0.10 | 1.25 | 0.3130 | 31.30% | 30% |
| 0.06 | 0.07 | 0.13 | 0.30 | 0.56 | 0.1397 | 13.97% | 15% |
| 0.19 | 0.64 | 0.13 | 0.30 | 1.26 | 0.3138 | 31.38% | 30% |
| 1 | 1 | 1 | 1 | 4 | 1 | 100% | 100% |
| Scenario | Global Value | Rank | NPV Max 0.25 | IRR (%) Max 0.3 | Gross Margin (%) Max 0.15 | Net Margin (%) Max 0.3 |
|---|---|---|---|---|---|---|
| Current 1 | 0.6790 | 6 | 2,980,000 | 67.90 | 30.2 | 12 |
| Current 2 | 0.6356 | 7 | 2,400,000 | 64.20 | 28.8 | 10.8 |
| Current 3 | 0.5903 | 8 | 1,830,000 | 59.40 | 27.3 | 9.51 |
| Current 4 | 0.5426 | 9 | 1,280,000 | 52.80 | 25.7 | 8.22 |
| Current 5 | 0.4853 | 10 | 723,000 | 42.60 | 24.1 | 6.88 |
| Optimistic 1 | 1 | 1 | 7,320,000 | 77.80 | 39.6 | 20 |
| Optimistic 2 | 0.9537 | 2 | 6,710,000 | 76.60 | 38.5 | 19 |
| Optimistic 3 | 0.9012 | 3 | 5,990,000 | 75.40 | 37.2 | 17.9 |
| Optimistic 4 | 0.8574 | 4 | 5,400,000 | 73.90 | 35.9 | 16.9 |
| Optimistic 5 | 0.8086 | 5 | 4,750,000 | 71.90 | 34.6 | 15.7 |
| Pessimistic 1 | 0.2328 | 11 | −384,000 | −19.30 | 20.9 | 4.31 |
| Pessimistic 2 | 0.1399 | 12 | −624,000 | −54.72 | 20.1 | 3.66 |
| Pessimistic 3 | 0.1209 | 13 | −1,000,000 | −47.20 | 18.9 | 2.61 |
| Pessimistic 4 | 0.1065 | 14 | −1,240,000 | −47.20 | 18.1 | 1.94 |
| Pessimistic 5 | 0.0903 | 15 | −1,580,000 | −47.20 | 16.8 | 0.96 |
| Scenario | Global Value | Rank | NPV Max 0.25 | IRR (%) Max 0.3 | Gross Margin (%) Max 0.15 | Net Margin (%) Max 0.3 |
|---|---|---|---|---|---|---|
| Current 1 | 7.8 | 6 | 2,980,000 | 67.90 | 30.2 | 12 |
| Current 2 | 7.9 | 8 | 2,400,000 | 64.20 | 28.8 | 10.8 |
| Current 3 | 8 | 10 | 1,830,000 | 59.40 | 27.3 | 9.51 |
| Current 4 | 8.1 | 11 | 1,280,000 | 52.80 | 25.7 | 8.22 |
| Current 5 | 8.2 | 12 | 723,000 | 42.60 | 24.1 | 6.88 |
| Optimistic 1 | 7.3 | 1 | 7,320,000 | 77.80 | 39.6 | 20 |
| Optimistic 2 | 7.4 | 2 | 6,710,000 | 76.60 | 38.5 | 19 |
| Optimistic 3 | 7.5 | 3 | 5,990,000 | 75.40 | 37.2 | 17.9 |
| Optimistic 4 | 7.6 | 4 | 5,400,000 | 73.90 | 35.9 | 16.9 |
| Optimistic 5 | 7.7 | 5 | 4,750,000 | 71.90 | 34.6 | 15.7 |
| Pessimistic 1 | 8.3 | 14 | −384,000 | −19.30 | 20.9 | 4.31 |
| Pessimistic 2 | 8.4 | 15 | −624,000 | −54.72 | 20.1 | 3.66 |
| Pessimistic 3 | 8.2 | 12 | −1,000,000 | −47.20 | 18.9 | 2.61 |
| Pessimistic 4 | 8 | 9 | −1,240,000 | −47.20 | 18.1 | 1.94 |
| Pessimistic 5 | 7.8 | 6 | −1,580,000 | −47.20 | 16.8 | 0.96 |
| TOPSIS | Analysis | FUCA | ||
|---|---|---|---|---|
| Rank | Global Value | Scenario | Global Value | Rank |
| 6 | 0.6790 | Current 1 | 7.8 | 6 |
| 7 | 0.6356 | Current 2 | 7.9 | 8 |
| 8 | 0.5903 | Current 3 | 8 | 10 |
| 9 | 0.5426 | Current 4 | 8.1 | 11 |
| 10 | 0.4853 | Current 5 | 8.2 | 12 |
| 1 | 1 | Optimistic 1 | 7.3 | 1 |
| 2 | 0.9537 | Optimistic 2 | 7.4 | 2 |
| 3 | 0.9012 | Optimistic 3 | 7.5 | 3 |
| 4 | 0.8574 | Optimistic 4 | 7.6 | 4 |
| 5 | 0.8086 | Optimistic 5 | 7.7 | 5 |
| 11 | 0.2328 | Pessimistic 1 | 8.3 | 14 |
| 12 | 0.1399 | Pessimistic 2 | 8.4 | 15 |
| 13 | 0.1209 | Pessimistic 3 | 8.2 | 12 |
| 14 | 0.1065 | Pessimistic 4 | 8 | 9 |
| 15 | 0.0903 | Pessimistic 5 | 7.8 | 6 |
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Vazquez-Hernández, A.C.; Alvarez-Mirazo, R.H.; Lagarda-Leyva, E.A. A System Dynamics Model to Support Transportation Procurement Based on the Logistical Costs of Potato Distribution in Mexico. Logistics 2026, 10, 126. https://doi.org/10.3390/logistics10060126
Vazquez-Hernández AC, Alvarez-Mirazo RH, Lagarda-Leyva EA. A System Dynamics Model to Support Transportation Procurement Based on the Logistical Costs of Potato Distribution in Mexico. Logistics. 2026; 10(6):126. https://doi.org/10.3390/logistics10060126
Chicago/Turabian StyleVazquez-Hernández, Andrea C., Ruben H. Alvarez-Mirazo, and Ernesto A. Lagarda-Leyva. 2026. "A System Dynamics Model to Support Transportation Procurement Based on the Logistical Costs of Potato Distribution in Mexico" Logistics 10, no. 6: 126. https://doi.org/10.3390/logistics10060126
APA StyleVazquez-Hernández, A. C., Alvarez-Mirazo, R. H., & Lagarda-Leyva, E. A. (2026). A System Dynamics Model to Support Transportation Procurement Based on the Logistical Costs of Potato Distribution in Mexico. Logistics, 10(6), 126. https://doi.org/10.3390/logistics10060126

