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A Constrained Production System Involving Production Flexibility and Carbon Emissions

Author

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  • Asif Iqbal Malik

    (Department of Industrial and Management Engineering, Incheon National University, 119, Academy-ro, Yeonsu-gu, Incheon 22012, Korea)

  • Byung Soo Kim

    (Department of Industrial and Management Engineering, Incheon National University, 119, Academy-ro, Yeonsu-gu, Incheon 22012, Korea)

Abstract

The proposed study presents an economic lot size and production rate model for a single vendor and a single buyer setup. This model involves greenhouse gas (GHG) emissions from industrial sources. The carbon emissions in this model are considered as two types: direct emissions and indirect emissions. The production rate affects carbon emissions generation in production, i.e., generally, higher production rates result in more emissions, which is governable in many real-life cases. The production rate also impacts the process reliability and quality. Faster production deteriorates the production system quickly, leading to machine failure and defective items. Such reliability and quality problems increase energy consumptions and supply chain (SC) costs. This paper formulates a vendor-buyer SC model that tackles these issues. It considers two decision-making policies: integrated or centralized as well as decentralized, where the aim is to obtain the optimal values of the decision variables that give the minimum total SC cost. It includes the costs of setup, holding inventory, carbon emissions, order processing, production, reworking, and inspection processes. The decision variables are the production rate, lead time, order quantity, the number of shipments, and the investments for setup cost reduction. In the later sections, this paper compares the numerical outcomes of the two centralized and decentralized policies. It also provides sensitivity analysis and useful insights on the economic and environmental execution of the SC.

Suggested Citation

  • Asif Iqbal Malik & Byung Soo Kim, 2020. "A Constrained Production System Involving Production Flexibility and Carbon Emissions," Mathematics, MDPI, vol. 8(2), pages 1-21, February.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:275-:d:322488
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    References listed on IDEAS

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    1. Hua, Guowei & Cheng, T.C.E. & Wang, Shouyang, 2011. "Managing carbon footprints in inventory management," International Journal of Production Economics, Elsevier, vol. 132(2), pages 178-185, August.
    2. Goyal, S. K. & Giri, B. C., 2003. "The production-inventory problem of a product with time varying demand, production and deterioration rates," European Journal of Operational Research, Elsevier, vol. 147(3), pages 549-557, June.
    3. Dehning, Patrick & Blume, Stefan & Dér, Antal & Flick, Dominik & Herrmann, Christoph & Thiede, Sebastian, 2019. "Load profile analysis for reducing energy demands of production systems in non-production times," Applied Energy, Elsevier, vol. 237(C), pages 117-130.
    4. Bazan, Ehab & Jaber, Mohamad Y. & Zanoni, Simone, 2017. "Carbon emissions and energy effects on a two-level manufacturer-retailer closed-loop supply chain model with remanufacturing subject to different coordination mechanisms," International Journal of Production Economics, Elsevier, vol. 183(PB), pages 394-408.
    5. Marchi, B. & Zanoni, S. & Zavanella, L.E. & Jaber, M.Y., 2019. "Supply chain models with greenhouse gases emissions, energy usage, imperfect process under different coordination decisions," International Journal of Production Economics, Elsevier, vol. 211(C), pages 145-153.
    6. Beatrice Marchi & Simone Zanoni, 2017. "Supply Chain Management for Improved Energy Efficiency: Review and Opportunities," Energies, MDPI, vol. 10(10), pages 1-29, October.
    7. Biel, K. & Glock, C. H., 2016. "Systematic literature review of decision support models for energy-efficient production planning," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 83071, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Biswajit Sarkar & Sharmila Saren & Mitali Sarkar & Yong Won Seo, 2016. "A Stackelberg Game Approach in an Integrated Inventory Model with Carbon-Emission and Setup Cost Reduction," Sustainability, MDPI, vol. 8(12), pages 1-23, December.
    9. Iqra Asghar & Biswajit Sarkar & Sung-jun Kim, 2019. "Economic Analysis of an Integrated Production–Inventory System under Stochastic Production Capacity and Energy Consumption," Energies, MDPI, vol. 12(16), pages 1-27, August.
    10. Glock, C. H., 2011. "Batch sizing with controllable production rates in a multi-stage production system," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57822, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    11. Glock, C. H., 2009. "A Comment: "Integrated single vendor single buyer model with stochastic demand and variable lead time"," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57828, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    12. Glock, C. H., 2010. "Batch sizing with controllable production rates," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57823, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    13. Glock, Christoph H., 2009. "A comment: "Integrated single vendor-single buyer model with stochastic demand and variable lead time"," International Journal of Production Economics, Elsevier, vol. 122(2), pages 790-792, December.
    14. Beatrice Marchi & Simone Zanoni & Ivan Ferretti & Lucio E. Zavanella, 2018. "Stimulating Investments in Energy Efficiency Through Supply Chain Integration," Energies, MDPI, vol. 11(4), pages 1-13, April.
    15. Wahab, M.I.M. & Mamun, S.M.H. & Ongkunaruk, P., 2011. "EOQ models for a coordinated two-level international supply chain considering imperfect items and environmental impact," International Journal of Production Economics, Elsevier, vol. 134(1), pages 151-158, November.
    16. Micheli, Guido J.L. & Mantella, Fabio, 2018. "Modelling an environmentally-extended inventory routing problem with demand uncertainty and a heterogeneous fleet under carbon control policies," International Journal of Production Economics, Elsevier, vol. 204(C), pages 316-327.
    17. AlDurgam, Mohammad & Adegbola, Kehinde & Glock, Christoph H., 2017. "A single-vendor single-manufacturer integrated inventory model with stochastic demand and variable production rate," International Journal of Production Economics, Elsevier, vol. 191(C), pages 335-350.
    18. Mitali Sarkar & Sungjun Kim & Jihed Jemai & Baishakhi Ganguly & Biswajit Sarkar, 2019. "An Application of Time-Dependent Holding Costs and System Reliability in a Multi-Item Sustainable Economic Energy Efficient Reliable Manufacturing System," Energies, MDPI, vol. 12(15), pages 1-19, July.
    19. AlDurgham, M. & Adegbola, K. & Glock, C. H., 2017. "A single-vendor single-manufacturer integrated inventory model with stochastic demand and variable production rate," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 87594, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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