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Year 2025, Volume: 5 Issue: 2, 348 - 375, 30.06.2025
https://doi.org/10.53391/mmnsa.1526946

Abstract

References

  • [1] Moraga, G., Huysveld, S., Mathieux, F., Blengini, G.A., Alaerts, L., Van Acker, K. et al. Circular economy indicators: What do they measure? Resources, Conservation and Recycling, 146, 452-461, (2019).
  • [2] Klemeš, J.J., Fan, Y.V. and Jiang, P. Plastics: friends or foes? The circularity and plastic waste footprint. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 43(13), 1549-1565, (2021).
  • [3] Wan, Y., Kober, T. and Densing, M. Nonlinear inverse demand curves in electricity market modeling. Energy Economics, 107, 105809, (2022).
  • [4] Rabta, B. An Economic Order Quantity inventory model for a product with a circular economy indicator. Computer & Industrial Engineering, 140, 106215, (2020).
  • [5] Goyal, S.K. and Giri, B.C. Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134(1), 1–16, (2001).
  • [6] Hovelaque, V. and Bironneau, L. The carbon-constrained EOQ model with carbon emission dependent demand. International Journal of Production Economics, 164, 285-291, (2015).
  • [7] Taleizadeh, A.A. and Pentico, D.W. An economic order quantity model with partial backordering and all-units discount. International Journal of Production Economics, 155, 172-184, (2014).
  • [8] Richter, K. and Dobos, I. Analysis of the EOQ repair and waste disposal problem with integer setup numbers. International Journal of Production Economics, 59(1-3), 463-467, (1999).
  • [9] Chakrabarti, T. and Chaudhuri, K.S. An EOQ model for deteriorating items with a linear trend in demand and shortages in all cycles. International Journal of Production Economics, 49(3), 205-213, (1997).
  • [10] Erlenkotter, D. Ford Whitman Harris’s economical lot size model. International Journal of Production Economics, 155, 12-15, (2014).
  • [11] Inaniyan, R. and Kumar, G. A comprehensive analysis of linear and non-linear deterioration rates in dual-warehouse inventory systems. Decision Analytics Journal, 10, 100396, (2024).
  • [12] Soni, H.N. and Shah, K. Continuous review inventory model with lost sale reduction and ordering cost dependent on lead time for the mixtures of distributions. Yugoslav Journal of Operations Research, 31(2), 221-233, (2021).
  • [13] Eriksson, M., Strid, I. and Hansson, P.A. Carbon footprint of food waste management options in the waste hierarchy–a Swedish case study. Journal of Cleaner Production, 93, 115-125, (2015).
  • [14] De Laurentiis, V., Corrado, S. and Sala, S. Quantifying household waste of fresh fruit and vegetables in the EU. Waste Management, 77, 238-251, (2018).
  • [15] Tonini, D., Albizzati, P.F. and Astrup, T.F. Environmental impacts of food waste: Learnings and challenges from a case study on UK. Waste Management, 76, 744-766, (2018).
  • [16] Papargyropoulou, E., Lozano, R., Steinberger, J.K., Wright, N. and bin Ujang, Z. The food waste hierarchy as a framework for the management of food surplus and food waste. Journal of Cleaner Production, 76, 106-115, (2014).
  • [17] Thyberg, K.L. and Tonjes, D.J. Drivers of food waste and their implications for sustainable policy development. Resources, Conservation and Recycling, 106, 110-123, (2016).
  • [18] Wani, N.A. and Mishra, U. Lifecycle assessment and electro-spinning technique for a sustainable fiber bottle production system with controllable waste and wastewater treatment. Journal of Cleaner Production, 443, 141026, (2024).
  • [19] Wani, N.A. and Mishra, U. A sustainable municipal solid waste supply chain management with biodiesel energy production using microwave technology. Environment, Development and Sustainability, 26, 12863-12900, (2024).
  • [20] Wani, N.A. and Mishra, U. An integrated circular economic model with controllable carbon emission and deterioration from an apple orchard. Journal of Cleaner Production, 374, 133962, (2022).
  • [21] Nketiah, E., Song, H., Adjei, M., Adu-Gyamfi, G., Obuobi, B. and Cudjoe, D. Assessment of energy generation potential and mitigating greenhouse gas emissions from biogas from food waste: Insights from Jiangsu Province. Applied Energy, 371, 123717, (2024).
  • [22] Jamaludin, H., Elmaky, H.S.E. and Sulaiman, S. The future of food waste: Application of circular economy. Energy Nexus, 7, 100098, (2022).
  • [23] Talekar, S., Ekanayake, K., Holland, B. and Barrow, C. Food waste biorefinery towards circular economy in Australia. Bioresource Technology, 388, 129761, (2023).
  • [24] Correani, L., Morganti, P., Silvestri, C. and Ruggieri, A. Food waste, circular economy, and policy with oligopolistic retailers. Journal of Cleaner Production, 407, 137092, (2023).
  • [25] Khan, M.A.A., Cárdenas-Barrón, L.E., Treviño-Garza, G. and Céspedes-Mota. Optimal circular economy index policy in a production system with carbon emissions. Expert Systems with Applications, 212, 118684, (2023).
  • [26] Thomas, A. and Mishra, U. A sustainable circular economic supply chain system with waste minimization using 3D printing and emissions reduction in plastic reforming industry. Journal of Cleaner Production, 131128, (2022).
  • [27] Lu, L.C., Chiu, S.Y., Chiu, Y.H. and Chang, T.H. Three-stage circular efficiency evaluation of agricultural food production, food consumption, and food waste recycling in EU countries. Journal of Cleaner Production, 343, 130870, (2022).
  • [28] Bernstad, A., la Cour Jansen, J. and Aspegren, A. Door-stepping as a strategy for improved food waste recycling behaviour–Evaluation of a full-scale experiment. Resources, Conservation and Recycling, 73, 94-103, (2013).
  • [29] Alam, M., Sultan, M.B., Mehnaz, M., Fahim, C.S.U., Hossain, S. and Anik, A.H. Production of biogas from food waste in laboratory scale dry anaerobic digester under mesophilic condition. Energy Nexus, 7, 100126, (2022).
  • [30] Woon, K.S. and Lo, I.M.C. A proposed framework of food waste collection and recycling for renewable biogas fuel production in Hong Kong. Waste Management, 47(A), 3-10, (2016).
  • [31] Kurniawan, T.A., Othman, M.H.D., Liang, X., Goh, H.H. and Chew, K.W. From liquid waste to mineral fertilizer: Recovery, recycle and reuse of high-value macro-nutrients from landfill leachate to contribute to circular economy, food security, and carbon neutrality. Process Safety and Environmental Protection, 170, 791-807, (2023).
  • [32] Mehta, R. and Oh, C. Institutional food waste and the circular economy: Is it time to revisit produce waste in global food supply chains? Global Food Security, 43, 100819, (2024).
  • [33] Pandey, A.K., Thakur, S., Mehra, R., Kaler, R.S.S., Paul, M. and Kumar, A. Transforming Agri-food waste: Innovative pathways toward a zero-waste circular economy. Food Chemistry: X, 28, 102604, (2025).
  • [34] Sebatjane, M. The impact of preservation technology investments on lot-sizing and shipment strategies in a three-echelon food supply chain involving growing and deteriorating items. Operations Research Perspectives, 9, 100241, (2022).
  • [35] Rashid, M.I. and Shahzad, K. Food waste recycling for compost production and its economic and environmental assessment as circular economy indicators of solid waste management. Journal of Cleaner Production, 317, 128467, (2021).

An EOQ model for the circularity of food waste to lessen greenhouse gas emission

Year 2025, Volume: 5 Issue: 2, 348 - 375, 30.06.2025
https://doi.org/10.53391/mmnsa.1526946

Abstract

Environmental protection initiatives are increasingly focusing on converting food and organic waste into renewable energy. In India, anaerobic digestion processes food waste and agricultural by-products into biogas, offering an eco-friendly alternative to fossil fuels for cooking, heating, and electricity. This approach aligns with the principles of a circular economy by minimizing resource waste, reducing environmental pollution, and promoting sustainable resource management, all of which contribute to a more resilient and efficient food system. This study explores an Economic Order Quantity (EOQ) model that incorporates the circularity of food waste. The EOQ model improves food waste systems by efficiently minimizing costs and lowering environmental impacts, including greenhouse gas emissions. The goal is to reduce waste, reduce emissions, and reduce ordering costs while maximizing profits. The degree of circularity in products influences consumer demand and unit profits, as consumers are increasingly aware of their environmental impact. In addition, we analyze how changes in system parameters affect optimal strategies, providing valuable insights for industry managers. This research helps determine the optimal product circularity index, thus minimizing food waste, increasing profits, and reducing environmental harm. We illustrate the performance of the integrated system using sensitivity analysis and visual tools, complemented by non-linear approaches to assess strategic impact.

References

  • [1] Moraga, G., Huysveld, S., Mathieux, F., Blengini, G.A., Alaerts, L., Van Acker, K. et al. Circular economy indicators: What do they measure? Resources, Conservation and Recycling, 146, 452-461, (2019).
  • [2] Klemeš, J.J., Fan, Y.V. and Jiang, P. Plastics: friends or foes? The circularity and plastic waste footprint. Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 43(13), 1549-1565, (2021).
  • [3] Wan, Y., Kober, T. and Densing, M. Nonlinear inverse demand curves in electricity market modeling. Energy Economics, 107, 105809, (2022).
  • [4] Rabta, B. An Economic Order Quantity inventory model for a product with a circular economy indicator. Computer & Industrial Engineering, 140, 106215, (2020).
  • [5] Goyal, S.K. and Giri, B.C. Recent trends in modeling of deteriorating inventory. European Journal of Operational Research, 134(1), 1–16, (2001).
  • [6] Hovelaque, V. and Bironneau, L. The carbon-constrained EOQ model with carbon emission dependent demand. International Journal of Production Economics, 164, 285-291, (2015).
  • [7] Taleizadeh, A.A. and Pentico, D.W. An economic order quantity model with partial backordering and all-units discount. International Journal of Production Economics, 155, 172-184, (2014).
  • [8] Richter, K. and Dobos, I. Analysis of the EOQ repair and waste disposal problem with integer setup numbers. International Journal of Production Economics, 59(1-3), 463-467, (1999).
  • [9] Chakrabarti, T. and Chaudhuri, K.S. An EOQ model for deteriorating items with a linear trend in demand and shortages in all cycles. International Journal of Production Economics, 49(3), 205-213, (1997).
  • [10] Erlenkotter, D. Ford Whitman Harris’s economical lot size model. International Journal of Production Economics, 155, 12-15, (2014).
  • [11] Inaniyan, R. and Kumar, G. A comprehensive analysis of linear and non-linear deterioration rates in dual-warehouse inventory systems. Decision Analytics Journal, 10, 100396, (2024).
  • [12] Soni, H.N. and Shah, K. Continuous review inventory model with lost sale reduction and ordering cost dependent on lead time for the mixtures of distributions. Yugoslav Journal of Operations Research, 31(2), 221-233, (2021).
  • [13] Eriksson, M., Strid, I. and Hansson, P.A. Carbon footprint of food waste management options in the waste hierarchy–a Swedish case study. Journal of Cleaner Production, 93, 115-125, (2015).
  • [14] De Laurentiis, V., Corrado, S. and Sala, S. Quantifying household waste of fresh fruit and vegetables in the EU. Waste Management, 77, 238-251, (2018).
  • [15] Tonini, D., Albizzati, P.F. and Astrup, T.F. Environmental impacts of food waste: Learnings and challenges from a case study on UK. Waste Management, 76, 744-766, (2018).
  • [16] Papargyropoulou, E., Lozano, R., Steinberger, J.K., Wright, N. and bin Ujang, Z. The food waste hierarchy as a framework for the management of food surplus and food waste. Journal of Cleaner Production, 76, 106-115, (2014).
  • [17] Thyberg, K.L. and Tonjes, D.J. Drivers of food waste and their implications for sustainable policy development. Resources, Conservation and Recycling, 106, 110-123, (2016).
  • [18] Wani, N.A. and Mishra, U. Lifecycle assessment and electro-spinning technique for a sustainable fiber bottle production system with controllable waste and wastewater treatment. Journal of Cleaner Production, 443, 141026, (2024).
  • [19] Wani, N.A. and Mishra, U. A sustainable municipal solid waste supply chain management with biodiesel energy production using microwave technology. Environment, Development and Sustainability, 26, 12863-12900, (2024).
  • [20] Wani, N.A. and Mishra, U. An integrated circular economic model with controllable carbon emission and deterioration from an apple orchard. Journal of Cleaner Production, 374, 133962, (2022).
  • [21] Nketiah, E., Song, H., Adjei, M., Adu-Gyamfi, G., Obuobi, B. and Cudjoe, D. Assessment of energy generation potential and mitigating greenhouse gas emissions from biogas from food waste: Insights from Jiangsu Province. Applied Energy, 371, 123717, (2024).
  • [22] Jamaludin, H., Elmaky, H.S.E. and Sulaiman, S. The future of food waste: Application of circular economy. Energy Nexus, 7, 100098, (2022).
  • [23] Talekar, S., Ekanayake, K., Holland, B. and Barrow, C. Food waste biorefinery towards circular economy in Australia. Bioresource Technology, 388, 129761, (2023).
  • [24] Correani, L., Morganti, P., Silvestri, C. and Ruggieri, A. Food waste, circular economy, and policy with oligopolistic retailers. Journal of Cleaner Production, 407, 137092, (2023).
  • [25] Khan, M.A.A., Cárdenas-Barrón, L.E., Treviño-Garza, G. and Céspedes-Mota. Optimal circular economy index policy in a production system with carbon emissions. Expert Systems with Applications, 212, 118684, (2023).
  • [26] Thomas, A. and Mishra, U. A sustainable circular economic supply chain system with waste minimization using 3D printing and emissions reduction in plastic reforming industry. Journal of Cleaner Production, 131128, (2022).
  • [27] Lu, L.C., Chiu, S.Y., Chiu, Y.H. and Chang, T.H. Three-stage circular efficiency evaluation of agricultural food production, food consumption, and food waste recycling in EU countries. Journal of Cleaner Production, 343, 130870, (2022).
  • [28] Bernstad, A., la Cour Jansen, J. and Aspegren, A. Door-stepping as a strategy for improved food waste recycling behaviour–Evaluation of a full-scale experiment. Resources, Conservation and Recycling, 73, 94-103, (2013).
  • [29] Alam, M., Sultan, M.B., Mehnaz, M., Fahim, C.S.U., Hossain, S. and Anik, A.H. Production of biogas from food waste in laboratory scale dry anaerobic digester under mesophilic condition. Energy Nexus, 7, 100126, (2022).
  • [30] Woon, K.S. and Lo, I.M.C. A proposed framework of food waste collection and recycling for renewable biogas fuel production in Hong Kong. Waste Management, 47(A), 3-10, (2016).
  • [31] Kurniawan, T.A., Othman, M.H.D., Liang, X., Goh, H.H. and Chew, K.W. From liquid waste to mineral fertilizer: Recovery, recycle and reuse of high-value macro-nutrients from landfill leachate to contribute to circular economy, food security, and carbon neutrality. Process Safety and Environmental Protection, 170, 791-807, (2023).
  • [32] Mehta, R. and Oh, C. Institutional food waste and the circular economy: Is it time to revisit produce waste in global food supply chains? Global Food Security, 43, 100819, (2024).
  • [33] Pandey, A.K., Thakur, S., Mehra, R., Kaler, R.S.S., Paul, M. and Kumar, A. Transforming Agri-food waste: Innovative pathways toward a zero-waste circular economy. Food Chemistry: X, 28, 102604, (2025).
  • [34] Sebatjane, M. The impact of preservation technology investments on lot-sizing and shipment strategies in a three-echelon food supply chain involving growing and deteriorating items. Operations Research Perspectives, 9, 100241, (2022).
  • [35] Rashid, M.I. and Shahzad, K. Food waste recycling for compost production and its economic and environmental assessment as circular economy indicators of solid waste management. Journal of Cleaner Production, 317, 128467, (2021).
There are 35 citations in total.

Details

Primary Language English
Subjects Operations Research İn Mathematics
Journal Section Research Article
Authors

S. Vennila

K. Karthikeyan 0000-0003-3321-8092

Submission Date August 7, 2024
Acceptance Date June 12, 2025
Early Pub Date July 15, 2025
Publication Date June 30, 2025
Published in Issue Year 2025 Volume: 5 Issue: 2

Cite

APA Vennila, S., & Karthikeyan, K. (2025). An EOQ model for the circularity of food waste to lessen greenhouse gas emission. Mathematical Modelling and Numerical Simulation With Applications, 5(2), 348-375. https://doi.org/10.53391/mmnsa.1526946


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