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Integration of energy aspects into the economic lot scheduling problem

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  • Beck, Fabian G.
  • Biel, Konstantin
  • Glock, Christoph H.

Abstract

Due to the role the manufacturing sector plays in the depletion of resources and the generation of greenhouse gas emissions, the consumption of energy has more and more often made it onto research agendas in the area of production planning over the last decade. The work at hand integrates energy aspects into the well-known Economic Lot Scheduling Problem (ELSP) by taking account of the cost arising from the product-dependent energy usage of the production facility during machine startups and shutdowns as well as during tool change, idle, and production phases. To determine a cyclic production schedule that minimizes the sum of tool change, inventory holding, and energy usage costs, we use the Common-Cycle-Approach of Hanssmann (1962) and the Basic-Period-Approach of Haessler and Hogue (1976) and adjust them accordingly. Using the data sets of Bomberger and Eilon, we show that considering energy cost in the ELSP affects the resulting cyclic production schedule and significantly reduces the company's energy cost.

Suggested Citation

  • Beck, Fabian G. & Biel, Konstantin & Glock, Christoph H., 2019. "Integration of energy aspects into the economic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 209(C), pages 399-410.
    • Handle: RePEc:eee:proeco:v:209:y:2019:i:c:p:399-410
    DOI: 10.1016/j.ijpe.2018.02.012
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    1. Beck, F. G. & Glock, C. H., 2016. "The impact of batch shipments on the economic lot scheduling problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 77019, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. Gregory Dobson, 1987. "The Economic Lot-Scheduling Problem: Achieving Feasibility Using Time-Varying Lot Sizes," Operations Research, INFORMS, vol. 35(5), pages 764-771, October.
    3. Sox, Charles R. & Jackson, Peter L. & Bowman, Alan & Muckstadt, John A., 1999. "A review of the stochastic lot scheduling problem," International Journal of Production Economics, Elsevier, vol. 62(3), pages 181-200, September.
    4. Gökan May & Bojan Stahl & Marco Taisch & Vittal Prabhu, 2015. "Multi-objective genetic algorithm for energy-efficient job shop scheduling," International Journal of Production Research, Taylor & Francis Journals, vol. 53(23), pages 7071-7089, December.
    5. Robert W. Haessler, 1971. "Letter to the Editor--A Note on Scheduling a Multi-Product Single Machine System for an Infinite Planning Period," Management Science, INFORMS, vol. 18(4-Part-I), pages 240-241, December.
    6. Jack Rogers, 1958. "A Computational Approach to the Economic Lot Scheduling Problem," Management Science, INFORMS, vol. 4(3), pages 264-291, April.
    7. Paul H. Zipkin, 1991. "Computing Optimal Lot Sizes in the Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 39(1), pages 56-63, February.
    8. Zanoni, S. & Bettoni, L. & Glock, C. H., 2014. "Energy Implications in a Two-Stage Production System with Controllable Production Rates," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 62117, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. 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).
    10. Salah E. Elmaghraby, 1978. "The Economic Lot Scheduling Problem (ELSP): Review and Extensions," Management Science, INFORMS, vol. 24(6), pages 587-598, February.
    11. Beck, F. G. & Glock, C. H., 2016. "The impact of batch shipments on the economic lot scheduling problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 78030, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    12. Luo, Hao & Du, Bing & Huang, George Q. & Chen, Huaping & Li, Xiaolin, 2013. "Hybrid flow shop scheduling considering machine electricity consumption cost," International Journal of Production Economics, Elsevier, vol. 146(2), pages 423-439.
    13. Winands, E.M.M. & Adan, I.J.B.F. & van Houtum, G.J., 2011. "The stochastic economic lot scheduling problem: A survey," European Journal of Operational Research, Elsevier, vol. 210(1), pages 1-9, April.
    14. C. Loren Doll & D. Clay Whybark, 1973. "An Iterative Procedure for the Single-Machine Multi-Product Lot Scheduling Problem," Management Science, INFORMS, vol. 20(1), pages 50-55, September.
    15. Zanoni, Simone & Bettoni, Laura & Glock, Christoph H., 2014. "Energy implications in a two-stage production system with controllable production rates," International Journal of Production Economics, Elsevier, vol. 149(C), pages 164-171.
    16. M Ben-Daya & M Hariga, 2000. "Economic lot scheduling problem with imperfect production processes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(7), pages 875-881, July.
    17. Alcides Santander-Mercado & Maria Jubiz-Diaz, 2016. "The economic lot scheduling problem: a survey," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 4973-4992, August.
    18. Earl E. Bomberger, 1966. "A Dynamic Programming Approach to a Lot Size Scheduling Problem," Management Science, INFORMS, vol. 12(11), pages 778-784, July.
    19. Biel, K. & Glock, C. H., 2016. "On the use of waste heat in a two-stage production system with controllable production rates," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 82130, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    20. Biel, Konstantin & Glock, Christoph H., 2016. "On the use of waste heat in a two-stage production system with controllable production rates," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 174-190.
    21. Artigues, Christian & Lopez, Pierre & Haït, Alain, 2013. "The energy scheduling problem: Industrial case-study and constraint propagation techniques," International Journal of Production Economics, Elsevier, vol. 143(1), pages 13-23.
    22. Robert W. Haessler & Steven L. Hogue, 1976. "Note--A Note on the Single-Machine Multi-Product Lot Scheduling Problem," Management Science, INFORMS, vol. 22(8), pages 909-912, April.
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    2. Menezes, Mozart B.C. & Jalali, Hamed & Lamas, Alejandro, 2021. "One too many: Product proliferation and the financial performance in manufacturing," International Journal of Production Economics, Elsevier, vol. 242(C).
    3. Masmoudi, Oussama & Delorme, Xavier & Gianessi, Paolo, 2019. "Job-shop scheduling problem with energy consideration," International Journal of Production Economics, Elsevier, vol. 216(C), pages 12-22.

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