Simulation Model for a Sustainable Food Supply Chain in a Developing Country: A Case Study of the Banana Supply Chain in Malawi
Abstract
:1. Introduction
Problem Definition
2. Literature Review
2.1. Food Sustainable Supply Chain Practices in Developing Countries
2.1.1. Awareness
2.1.2. Collaboration
2.1.3. Efficiency
2.1.4. Knowledge and Information-Sharing
2.1.5. Resilience
2.1.6. Governance
2.2. Modelling in Sustainable Supply Chains
2.2.1. Simulation Techniques
2.2.2. Design Science Research
2.2.3. DES and DSR in Combination
2.2.4. Gap in the Literature
3. Materials and Methods
3.1. DSR Methodological Approach
3.2. Model Input Parameters
3.3. Base Model Assumptions
- Harvest is always available; therefore, the input is not starved at any point.
- Disruptions caused by resource breakdowns are not modelled (due to a lack of the required statistical data).
- The model operates 24 h, but all operations, up to truck loading, are completed within seven hours, a typical daily shift for the case study.
- A week has five working days, but operations can occur on an additional sixth day.
- Randomness simulation in operations is not performed (due to a lack of statistical data).
- Storage capacity is unlimited at any stage in the SC for the quantities typically harvested.
- Period randomness is evened out.
- There is stable market for the products
3.4. Base Model Validation
3.5. Evaluation of Alternative Model Designs
4. Results
4.1. Standalone Model
4.2. Integrated Model
5. Discussion
5.1. Theoretical Implications
5.2. Managerial Implications
5.3. Practical and Policy Recommendations
6. Conclusions
6.1. Findings
6.2. Research Limitations
6.3. Recommendations for Future Work
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Reference | Awareness | Collaboration | Efficiency | KIS | Resilience | Governance | Modelling Approach |
---|---|---|---|---|---|---|---|
[1] | ✓ | ✓ | ✓ | ||||
[2] | ✓ | Mathematical | |||||
[3] | ✓ | Mathematical | |||||
[11] | ✓ | ✓ | |||||
[14] | ✓ | ✓ | Mathematical | ||||
[15] | ✓ | ✓ | |||||
[21] | ✓ | ||||||
[28] | ✓ | ||||||
[37] | ✓ | ||||||
[39] | ✓ | Simulation | |||||
[40] | ✓ | ✓ | |||||
[41] | ✓ | ✓ | ✓ | Mathematical | |||
[43] | ✓ | ✓ | ✓ | Mathematical | |||
[45] | ✓ | ✓ | |||||
[46] | ✓ | ✓ | |||||
[47] | ✓ | ✓ | ✓ | ✓ | |||
[48] | ✓ | ✓ | ✓ | ||||
[49] | ✓ | ✓ | ✓ | ✓ | |||
[51] | ✓ | ✓ | ✓ | ||||
[53] | ✓ | ✓ | ✓ | ✓ | ✓ | Mathematical | |
[54] | ✓ | ✓ | Mathematical | ||||
[56] | ✓ | ✓ | |||||
[57] | ✓ | ✓ | ✓ | ||||
[58] | ✓ | ✓ | Simulation | ||||
[59] | ✓ | ✓ | ✓ | ||||
This paper | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | Simulation and DSR |
Activity/Observation | Distribution Type | Data Points | Mean (Seconds) | Expression | Mean Square Error | df | Chi-Square p-Value |
---|---|---|---|---|---|---|---|
Big trailer reaping | Beta | 100 | 140 | 39 + 240 × BETA (1.18, 1.58) | 0.007812 | 4 | 0.236 |
Big trailer loading | Beta | 100 | 25 | 15.5 + 18 × BETA (1.23, 1.11) | 0.018668 | 5 | 0.345 |
Big trailer transfer | Lognormal | 8 | 4.4 | 3 + LOGN (1.35, 1.16) | 0.057789 | - | - |
Big trailer unloading | Gamma | 100 | 10.2 | 3.5 + GAMM (3.36, 1.99) | 0.007416 | 5 | 0.349 |
Small trailer reaping | Beta | 100 | 360 | 88 + 558 × BETA (2.3, 2.42) | 0.007506 | 3 | 0.203 |
Small trailer loading | Beta | 100 | 15.1 | 10.5 + 9 × BETA (1.01, 0.959) | 0.004127 | 6 | 0.703 |
Small trailer transfer | Beta | 30 | 14.7 | 9.5 + 11 × BETA (0.851, 0.949) | 0.048836 | 2 | 0.116 |
Small trailer unloading | Beta | 80 | 8.3 | 5.5 + 5 × BETA (2.04, 1.6) | 0.012422 | 1 | 0.228 |
Weighing and packing in the grading shed | Beta | 120 | 25.2 | 14.5 + 21 × BETA (0.836, 0.811) | 0.006946 | 7 | 0.132 |
Truck loading | Beta | 250 | 45.1 | 29.5 + 31 × BETA (1.09, 1.08) | 0.004698 | 12 | 0.239 |
Bunch weight | Normal | 300 | 19.456 | NORM (19.5, 4.37) | 0.001133 | 11 | 0.75 |
Indicator | Definition Used | Base Unit | Base Value | Calculation Method |
---|---|---|---|---|
Total production cost | The costs associated with processing services, specifically banana transport from a farm to the customer’s location. | Kwacha | 60,000 | Addition of all operating costs during a system run |
Labour availability | Labour resources to run a process. | Percentage | 74.1 | Available labour divided by required labour |
Lead-time | The time taken from harvesting to completion of sales at the case study company, including waiting time | Hours | 4.8 | Exit time subtract entry time |
Food quality | The ratio of total demand to shortages or wastage of supplied quantity, assuming demand equals harvested amounts. | Percentage | 94.3 | Harvest—waste |
demand | ||||
Shelf-life | The shelf-life is determined by subtracting processing and transport time from the difference between the harvest day and the last day of marketable quality. | Days | 7 | Last usable time subtract harvest time |
Throughput No. of bunches) | The total number of products that exited the system to be available for customers. | Number (bunches) | 128 | |
Throughput (Bunch weight) | The total weight of products that left the system and were available for customers. | Kg | 2510 | Bunch number multiplied by bunch weight mean |
Wastage | The proportion of unconsumed products in a system is determined by subtracting the total harvested from the throughput. | Percentage | 5.7 | Products in, subtract products out |
Indicator | Base Unit | Actual System | Base Model Mean | t-Statistic | p-Value (Two-Sided) |
---|---|---|---|---|---|
Total production cost | Kwacha | 60,000 | 60,012 | −0.022 | 0.982 |
Labour availability | Percentage | 74.1 | 74.10 | ||
Lead-time | Hours | 4.8 | 4.75 | 0.157 | 0.876 |
Food quality | Percentage | 94.3 | 93.47 | 0.426 | 0.671 |
Shelf-life | Days | 7 | 7.39 | −0.155 | 0.877 |
Throughput (Number) | No. of bunches | 128 | 127.75 | −0.017 | 0.986 |
Throughput (Weight) | kg | 2510 | 2527 | −0.17 | 0.095 |
Wastage | Percentage | 5.7 | 6.53 | −0.419 | 0.676 |
Indicator | Base Unit | Base Model Mean | Standalone Simulation Model Mean | Mean Difference | % Difference | t-Statistic | p-Value (Two-Sided) |
---|---|---|---|---|---|---|---|
Total production cost | Kwacha | 60,012 | 58,579 | −1432.96 | 2 | 7.379 | <0.001 |
Labour availability | Percentage | 74.1 | 74.10 | 0.00 | 0 | 0 | 0 |
Lead-time | Hours | 4.75 | 3.46 | 1.29 | 27 | 8.327 × 1014 | <0.001 |
Food quality | Percentage | 93.47 | 97.54 | −4.07 | 4 | −3.521 | <0.001 |
Shelf-life | Days | 7.39 | 13.89 | −6.41 | 87 | −8.558 | <0.001 |
Throughput (Number) | No. of bunches | 127.75 | 128.25 | 0.25 | 0 | 0.011 | 0.992 |
Throughput (Weight) | kg | 2527 | 2623.49 | 0.18 | 0 | 0 | 1 |
Wastage | Percentage | 6.53 | 2.46 | 4.07 | 62 | 3.521 | <0.001 |
Indicator * | Base Unit | Base Model Mean | Integrated Model Mean | Mean Difference | % Difference | t-Statistic | p-Value (Two-Sided) |
---|---|---|---|---|---|---|---|
Total production cost | Kwacha | 60,012 | 63,724.8 | −3713 | 6 | −43.389 | <0.001 |
Labour availability ** | Percentage | 74.1 | |||||
Lead-time | Hours | 4.7 | 2.5 | 2.2 | 48 | 135.748 | <0.001 |
Food quality | Percentage | 93.5 | 97.47 | −3.97 | 4 | −17.339 | <0.001 |
Shelf-life | Days | 6.9 | 14.0 | −7.1 | 93 | −25.072 | <0.001 |
Throughput (Number) | No. of Bunches | 128 | 194 | −65.26 | 51 | −52.22 | <0.001 |
Throughput (Weight) | kg | 2527 | 3853 | −1326 | 52 | −12.553 | <0.001 |
Wastage | Percentage | 6.5 | 2.5 | 4 | 61 | 17.339 | <0.001 |
Indicator | Base Unit | Base Value | Base Model Output | Simulated Model Output | Difference | Percentage Difference |
---|---|---|---|---|---|---|
Total production costs | Kwacha | 45,120,000 | 45,302,028 | 48,175,949 | 2,873,921 | 6 |
Labour availability | Percentage | 74.1 | 74.1 | 100 | 26 | 35 |
Lead-time | Hours (mean) | 4.8 | 4.7 | 2 | −2 | 47 |
Food quality | Percentage (mean) | 94.3 | 93.5 | 97 | 4 | 4 |
Shelf-life | Days (mean) | 7 | 7.6 | 14 | 6 | 85 |
Throughput (Number) | No. of bunches | 96,256 | 96,928 | 146,266 | 49,338 | 51 |
Throughput (Weight) | kg | 1,897,560 | 1,910,275 | 2,912,643 | 1,002,368 | 52 |
Wastage | Percentage (mean) | 5.7 | 6.5 | 3 | −4 | 61 |
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Moyo, E.H.; Carstens, S.; Walters, J. Simulation Model for a Sustainable Food Supply Chain in a Developing Country: A Case Study of the Banana Supply Chain in Malawi. Logistics 2024, 8, 85. https://doi.org/10.3390/logistics8030085
Moyo EH, Carstens S, Walters J. Simulation Model for a Sustainable Food Supply Chain in a Developing Country: A Case Study of the Banana Supply Chain in Malawi. Logistics. 2024; 8(3):85. https://doi.org/10.3390/logistics8030085
Chicago/Turabian StyleMoyo, Evance Hlekwayo, Stephen Carstens, and Jackie Walters. 2024. "Simulation Model for a Sustainable Food Supply Chain in a Developing Country: A Case Study of the Banana Supply Chain in Malawi" Logistics 8, no. 3: 85. https://doi.org/10.3390/logistics8030085
APA StyleMoyo, E. H., Carstens, S., & Walters, J. (2024). Simulation Model for a Sustainable Food Supply Chain in a Developing Country: A Case Study of the Banana Supply Chain in Malawi. Logistics, 8(3), 85. https://doi.org/10.3390/logistics8030085