EOQ Inventory Model with Carbon Emission Consideration: A Literature Review


  • Bellachintya Reira Christata Department of Industrial Engineering, Universitas Atma Jaya Yogyakarta, Indonesia
  • Yosef Daryanto Department of Industrial Engineering, Universitas Atma Jaya Yogyakarta, Indonesia




Economic Order Quantity (EOQ), Inventory, Optimization, Carbon Emission, Literature Review.


This paper presents a literature review on economic order quantity (EOQ) models that consider carbon emissions. This research aims to analyze the studies about the determination of the optimum re-order amount by implementing EOQ, which considers the carbon emission, published in international journals. It is done by a systematic review process covering publication from 2010 until 2019. This research identifies the key elements of EOQ models under the carbon emission policy investigated in the literature. This research categorizes or groups investigated articles based on the elements. It also presents the main characteristics of the concerning articles with annual publication distribution and the most studied sector. This research is expected to facilitate researchers by identifying and offering several topics, opportunities for the sake of future studies. The data consists of English articles published in Scopus indexed journals. The research collected, ordered, and reviewed articles from 893 publications. About 29 relevant articles were then analyzed as they met the scope of this research. The findings showed the most promoted matters in developing the EOQ model with carbon emission problems still assumed the types of deterministic demands. This article found some gaps that have not been investigated.


Bazan, E., Jaber, M.Y., & Zanoni, S. (2016). A review of mathematical inventory models for reverse logistics and the future of its modeling: An environmental perspective, Applied Mathematical Modelling, 40(5-6), 4151–4178.

Bonney, M., & Jaber, M.Y. (2011). Environmentally responsible inventory models: Non-classical models for a non-classical era, International Journal of Production Economics, 133, 43-53.

Bouchery, Y., Jemal, Z., Ghaffarl, A., & Dallery, Y. (2012). Including sustainability criteria into inventory models, European Journal of Operation Research, 222(2), 229-240.

Bozorgi, A., Pazour, J., & Nazzal, D. (2014). A new inventory model for cold items that considers costs and emissions, International Journal of Production Economics, 155, 114–125.

Bozorgi, A. (2016). Multi-product inventory model for cold items with cost and emission consideration, International Journal of Production Economics, 176, 123–142.

Cao, K., Xu, B., He, Y., & Xu, Q. (2018). Optimal carbon reduction level and ordering quantity under financial constraints, International Transactions in Operational Research, DOI: 10.1111/itor.12606.

Chelly, A., Nouira, I., Frein, Y., & Hadj-Alouane, A.B. (2019). On the consideration of carbon emissions in modelling-based supply chain literature: the state of the art, relevant features and research gaps, International Journal of Production Research, 57(15-16), 4977-5004.

Chen, X., Benjaafar, S., & Elomri, A. (2012). The carbon-constrained EOQ, Operation Research Letters, 41, 172-179.

Fink, A. (2014). Conducting research literature reviews: From the internet to paper. Sage Publications.

Gurtu, A., Jaber, M.Y., & Searcy, C. (2014). Impact of fuel price and emissions on inventory policies, Applied Mathematical Modelling, 39, 1202-1216.

He, P., Zhang, W., Xu, X., & Bian, Y. (2015). Production lot-sizing and carbon emissions under cap-and-trade and carbon tax regulations, Journal of Cleaner Production, 103, 241–248.

Hovelaque, V., & Bironneau, L. (2014). The carbon-constrained EOQ model with carbon emission dependent demand, International Journal Production Economics, 164, 285-291.

Janssen, L., Claus, T., & Sauer, J. (2016). Literature review of deteriorating inventory models by key topics from 2012 to 2015, International Journal Production Economics, 182, 86-112.

Kazemi, N., Abdul-Rashid, S.H., Ghazilla, R.A.R., Shekarian, E., & Zanoni, S. (2018). Economic order quantity models for items with imperfect quality and emission considerations, International Journal of Systems Science: Operation & Logistics, 5(2), 99-115.

Lamba, K., & Singh, S.P. (2018). Dynamic supplier selection and lot-sizing problem considering carbon emissions in a big data environment, Technological Forecasting & Social Change, 144, 573-584.

Lee, S.K., Yoo, S.H., & Cheong, T. (2017). Sustainable EOQ under lead-time uncertainty and multi-modal transport, Sustainability, 9, 476.

Lee, J.Y. (2019). Investing in carbon emissions reduction in the EOQ model, Journal of the Operational Research Society, DOI: 10.1080/01605682.2019.1609889.

Liao, H., & Deng, Q. (2018). A carbon constrained EOQ model with uncertain demand for remanufactured products. Journal of Cleaner Production, 199, 334–347.

Lin, H. (2018). Investing in transportation emission cost reduction on environmentally sustainable EOQ models with partial backordering, Journal of Applied Science and Engineering, 21(3), 291-303.

Mayring, P. (2003). Qualitative inhaltanalyse – Grundlagen und techniken (Qualitative content analysis-Basics and techniques), 8th ed. Weinheim: Beltz Verlag.

Purohit, A.K., Shankar, R., Dey, P.K., & Choudhary, A. (2016). Non-stationary stochastic inventory lot-sizing with emission and service level constraints in a carbon cap-and-trade system, Journal of Cleaner Production, 113, 654–661.

Sarkar, B., Ahmed, W., Choi, S., & Tayya, M. (2018). Sustainable inventory management for environmental impact through partial backordering and multi-trade-credit-period, Sustainability, 10, 4761.

Shu, T., Wu, Q., Chen, S., Wang, S., Lai, K.K., & Yang, H. (2017). Manufacturers’/remanufacturers’ inventory control strategies with cap-and-trade regulation, Journal of Cleaner Production, 159, 11–25.

Soleymanfar, V.R., Taleizadeh, A.A., & Zia, N.P. (2015). A sustainable lot-sizing model with partial backordering, International Journal of Advanced Operations Management, 7(2), 157.

Su, L., Xiao, B., Suo, C., & Yang Y. (2016). Models for operation management under carbon policies-A review, Chemical Engineering Transactions, 51, 1159-1165.

Taleizadeh, A.A., Hazarkhan, B., & Moon, I. (2018). Join pricing and inventory decisions with carbon emission considerations, partial backordering and planned discount, Annals of Operations Research, 1-11, DOI: 10.1007/s10479-018-2968-y.

Tao, Z., & Xu, J. (2019). Carbon-regulated EOQ models with consumers’ low-carbon awareness, Sustainability, 11, 1004.

Tian, Z., Huo, L., & Shen, G. (2014). Carbon footprint and order quantity in logistics, Journal of Industrial Engineering and Management, 7(2), 475 – 490.

Toptal, A., Özlü, H., & Konur, D. (2013). Joint decisions on inventory replenishment and emission reduction investment under different emission regulations, International Journal of Production Research, 52(1), 243–269.

Tsiliyannis, C.A. (2015). Sustainability by cyclic manufacturing: Assessment of resource preservation under uncertain growth and returns, Resources, Conservation and Recycling, 103, 155-170.

Wang, S., & Ye, B. (2018). A comparison between just-in-time and economic order quantity models with carbon emissions, Journal of Cleaner Production, 187, 662–671.

Wu, P., Jin, Y., Shi, Y., & Shyu, H. (2017). The impact of carbon emission costs on manufacturers’ production and location decision, International Journal of Production Economics, 193, 193-206.

Zadjafar, M.A., & Gholamian, M.R. (2018). A sustainable inventory model by considering environmental ergonomics and environmental pollution, case study: Pulp and paper mills, Journal of Cleaner Production, 199, 444–458.

Zhang, R., Liu, Q., & Wang, C. (2019). Inventory optimization of building materials under the constraints of carbon emissions and stochastic demand, Systems Science & Control Engineering, 7(1), 146-157.

Zhao, Y.C., Choi, S.H., Wang, X.J., Qiao, A., & Wang, S.Y. (2017). Production and low-carbon investment analysis in make-to-stock supply chain, Engineering Letters, 25(1), 1-12.