IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v155y2014icp16-38.html
   My bibliography  Save this article

A century of evolution from Harris׳s basic lot size model: Survey and research agenda

Author

Listed:
  • Andriolo, Alessandro
  • Battini, Daria
  • Grubbström, Robert W.
  • Persona, Alessandro
  • Sgarbossa, Fabio

Abstract

Determining the economic lot size has always represented one of the most important issues in production planning. This problem has long attracted the attention of researchers, and several models have been developed to meet requirements at minimum cost. In this paper we explore and discuss the evolution of these models during one hundred years of history, starting from the basic model developed by Harris in 1913, up to today. Following Harris׳s work, a number of researchers have devised extensions that incorporate additional considerations. The evolution of EOQ theory strongly reflects the development of industrial systems over the past century. Here we outline all the research areas faced in the past by conducting a holistic analysis of 219 selected journal papers and trying to give a comprehensive view of past work on the EOQ problem. Finally, a new research agenda is proposed and discussed.

Suggested Citation

  • Andriolo, Alessandro & Battini, Daria & Grubbström, Robert W. & Persona, Alessandro & Sgarbossa, Fabio, 2014. "A century of evolution from Harris׳s basic lot size model: Survey and research agenda," International Journal of Production Economics, Elsevier, vol. 155(C), pages 16-38.
    • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:16-38
    DOI: 10.1016/j.ijpe.2014.01.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527314000152
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2014.01.013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. Battini, Daria & Persona, Alessandro & Sgarbossa, Fabio, 2014. "A sustainable EOQ model: Theoretical formulation and applications," International Journal of Production Economics, Elsevier, vol. 149(C), pages 145-153.
    3. Chang, Hung-Chi, 2013. "A note on an economic lot size model for price-dependent demand under quantity and freight discounts," International Journal of Production Economics, Elsevier, vol. 144(1), pages 175-179.
    4. Beullens, Patrick & Janssens, Gerrit K., 2011. "Holding costs under push or pull conditions - The impact of the Anchor Point," European Journal of Operational Research, Elsevier, vol. 215(1), pages 115-125, November.
    5. Robin Roundy, 1985. "98%-Effective Integer-Ratio Lot-Sizing for One-Warehouse Multi-Retailer Systems," Management Science, INFORMS, vol. 31(11), pages 1416-1430, November.
    6. Donald Erlenkotter, 1989. "Note---An Early Classic Misplaced: Ford W. Harris's Economic Order Quantity Model of 1915," Management Science, INFORMS, vol. 35(7), pages 898-900, July.
    7. Swenseth, Scott R. & Godfrey, Michael R., 2002. "Incorporating transportation costs into inventory replenishment decisions," International Journal of Production Economics, Elsevier, vol. 77(2), pages 113-130, May.
    8. Zied Jemai & Y Bouchery & Asma Ghaffari & Yves Dallery, 2012. "Including sustainability criteria into inventory models," Post-Print hal-01672398, HAL.
    9. Vroblefski, Mark & Ramesh, R. & Zionts, Stanley, 2000. "Efficient lot-sizing under a differential transportation cost structure for serially distributed warehouses," European Journal of Operational Research, Elsevier, vol. 127(3), pages 574-593, December.
    10. Teunter, Ruud & van der Laan, Erwin, 2002. "On the non-optimality of the average cost approach for inventory models with remanufacturing," International Journal of Production Economics, Elsevier, vol. 79(1), pages 67-73, September.
    11. Bouchery, Yann & Ghaffari, Asma & Jemai, Zied & Dallery, Yves, 2012. "Including sustainability criteria into inventory models," European Journal of Operational Research, Elsevier, vol. 222(2), pages 229-240.
    12. Yu-Sheng Zheng, 1992. "On Properties of Stochastic Inventory Systems," Management Science, INFORMS, vol. 38(1), pages 87-103, January.
    13. Glock, C. H., 2012. "The joint economic lot size problem: a review," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57811, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    14. Glock, Christoph H., 2012. "The joint economic lot size problem: A review," International Journal of Production Economics, Elsevier, vol. 135(2), pages 671-686.
    15. Burwell, Timothy H. & Dave, Dinesh S. & Fitzpatrick, Kathy E. & Roy, Melvin R., 1997. "Economic lot size model for price-dependent demand under quantity and freight discounts," International Journal of Production Economics, Elsevier, vol. 48(2), pages 141-155, January.
    16. Glock, C. H. & Kim, T., 2012. "A joint economic lot sizemodel with returnable transport items," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 59079, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    17. Bonney, Maurice & Jaber, Mohamad Y., 2011. "Environmentally responsible inventory models: Non-classical models for a non-classical era," International Journal of Production Economics, Elsevier, vol. 133(1), pages 43-53, September.
    18. Robert W. Grubbström & Brian G. Kingsman, 2004. "Ordering and Inventory Policies for Step Changes in the Unit Item Cost: A Discounted Cash Flow Approach," Management Science, INFORMS, vol. 50(2), pages 253-267, February.
    19. Birbil, S.I. & Bulbul, K. & Frenk, J.B.G. & Mulder, H.M., 2009. "On the Economic Order Quantity Model With Transportation Costs," Econometric Institute Research Papers EI 2009-22, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    20. 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.
    21. Mendoza, Abraham & Ventura, José A., 2008. "Incorporating quantity discounts to the EOQ model with transportation costs," International Journal of Production Economics, Elsevier, vol. 113(2), pages 754-765, June.
    22. Donald Erlenkotter, 1990. "Ford Whitman Harris and the Economic Order Quantity Model," Operations Research, INFORMS, vol. 38(6), pages 937-946, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. McDonald, Conor M., 2016. "Integrating packaging and supply chain decisions: Selection of economic handling unit quantities," International Journal of Production Economics, Elsevier, vol. 180(C), pages 208-221.
    2. Andriolo, Alessandro & Battini, Daria & Persona, Alessandro & Sgarbossa, Fabio, 2015. "Haulage sharing approach to achieve sustainability in material purchasing: New method and numerical applications," International Journal of Production Economics, Elsevier, vol. 164(C), pages 308-318.
    3. Vahid Reza Soleymanfar & Ahmad Makui & Ata Allah Taleizadeh & Reza Tavakkoli-Moghaddam, 2022. "Sustainable EOQ and EPQ models for a two-echelon multi-product supply chain with return policy," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(4), pages 5317-5343, April.
    4. Battini, Daria & Persona, Alessandro & Sgarbossa, Fabio, 2014. "A sustainable EOQ model: Theoretical formulation and applications," International Journal of Production Economics, Elsevier, vol. 149(C), pages 145-153.
    5. Tang, Shaolong & Wang, Wenjie & Cho, Stella & Yan, Hong, 2018. "Reducing emissions in transportation and inventory management: (R, Q) Policy with considerations of carbon reduction," European Journal of Operational Research, Elsevier, vol. 269(1), pages 327-340.
    6. Hovelaque, Vincent & Bironneau, Laurent, 2015. "The carbon-constrained EOQ model with carbon emission dependent demand," International Journal of Production Economics, Elsevier, vol. 164(C), pages 285-291.
    7. Konur, Dinçer, 2017. "Non-collaborative emission targets joining and quantity flow decisions in a Stackelberg setting," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 105(C), pages 60-82.
    8. K. M. Kamna & Priyamvada & Jitendra Singh & Chandra K. Jaggi, 2024. "A green strategic approach towards a smart production system with promotional and environment sensitive demand," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(8), pages 3672-3687, August.
    9. Schaefer, Brian & Konur, Dinçer, 2015. "Economic and environmental considerations in a continuous review inventory control system with integrated transportation decisions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 142-165.
    10. Castellano, Davide & Gallo, Mosè & Grassi, Andrea & Santillo, Liberatina C., 2019. "The effect of GHG emissions on production, inventory replenishment and routing decisions in a single vendor-multiple buyers supply chain," International Journal of Production Economics, Elsevier, vol. 218(C), pages 30-42.
    11. Daryanto, Yosef & Wee, Hui Ming & Astanti, Ririn Diar, 2019. "Three-echelon supply chain model considering carbon emission and item deterioration," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 368-383.
    12. Daria Battini & Martina Calzavara & Ilaria Isolan & Fabio Sgarbossa & Francesco Zangaro, 2018. "Sustainability in Material Purchasing: A Multi-Objective Economic Order Quantity Model under Carbon Trading," Sustainability, MDPI, vol. 10(12), pages 1-15, November.
    13. Beullens, Patrick, 2014. "Revisiting foundations in lot sizing—Connections between Harris, Crowther, Monahan, and Clark," International Journal of Production Economics, Elsevier, vol. 155(C), pages 68-81.
    14. Palanivel Muthusamy & Venkadesh Murugesan & Vetriselvi Selvaraj, 2024. "Optimal production–inventory decision with shortage for deterioration item and effect of carbon emission policy combination with green technology," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(9), pages 23701-23766, September.
    15. Engebrethsen, Erna & Dauzère-Pérès, Stéphane, 2019. "Transportation mode selection in inventory models: A literature review," European Journal of Operational Research, Elsevier, vol. 279(1), pages 1-25.
    16. Yann Bouchery & Asma Ghaffari & Zied Jemai & Jan Fransoo, 2016. "Sustainable transportation and order quantity: insights from multiobjective optimization," Flexible Services and Manufacturing Journal, Springer, vol. 28(3), pages 367-396, September.
    17. Soon-Kyo Lee & Seung Ho Yoo & Taesu Cheong, 2017. "Sustainable EOQ under Lead-Time Uncertainty and Multi-Modal Transport," Sustainability, MDPI, vol. 9(3), pages 1-22, March.
    18. Lucas Dias Condeixa & Pierry Silva & Diego Moah & Brenda Farias & Adriana Leiras, 2022. "Evaluating cost impacts on reverse logistics using an Economic Order Quantity (EOQ) model with environmental and social considerations," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(3), pages 921-940, September.
    19. Y Bouchery & Asma Ghaffari & Zied Jemai & Jan C Fransoo, 2016. "Sustainable transportation and order quantity: insights from multiobjective optimization," Post-Print hal-01954465, HAL.
    20. Dinçer Konur & Joseph Geunes, 2019. "Integrated districting, fleet composition, and inventory planning for a multi-retailer distribution system," Annals of Operations Research, Springer, vol. 273(1), pages 527-559, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:16-38. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.