IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v218y2019icp62-71.html
   My bibliography  Save this article

Parallel machine replacement with shipping decisions

Author

Listed:
  • Shields, Brett A.
  • Seif, Javad
  • Yu, Andrew Junfang

Abstract

In this research, the Parallel Machine Replacement Problem is adapted to include shipping decisions between demand sites. The formulation arises from an application in the construction industry, where the shipping of assets is vital. The benefit of including shipping decisions with replacement analysis is presented in a numerical example where heavy machinery is considered. The formulation is shown to significantly increase in computational complexity as the number of demand sites increases, and therefore an efficient heuristic algorithm is presented to solve large-size problems. Managerial implications are derived from sensitivity analysis on the shipping cost-per-mile, and economic impact is discussed. It is shown that the optimal solution does not change even when shipping cost inflates significantly.

Suggested Citation

  • Shields, Brett A. & Seif, Javad & Yu, Andrew Junfang, 2019. "Parallel machine replacement with shipping decisions," International Journal of Production Economics, Elsevier, vol. 218(C), pages 62-71.
  • Handle: RePEc:eee:proeco:v:218:y:2019:i:c:p:62-71
    DOI: 10.1016/j.ijpe.2019.04.032
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527319301616
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2019.04.032?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. Leung, Lawrence C. & Tanchoco, J. M. A., 1990. "Multiple machine replacement analysis," Engineering Costs and Production Economics, Elsevier, vol. 20(3), pages 265-275, December.
    2. Wallace J. Hopp & Philip C. Jones & James L. Zydiak, 1993. "A further note on parallel machine replacement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 575-579, June.
    3. Ansaripoor, Amir H. & Oliveira, Fernando S., 2018. "Flexible lease contracts in the fleet replacement problem with alternative fuel vehicles: A real-options approach," European Journal of Operational Research, Elsevier, vol. 266(1), pages 316-327.
    4. Lotfi, Vahid & Suresh, Nallan C., 1994. "Flexible automation investments: A problem formulation and solution procedure," European Journal of Operational Research, Elsevier, vol. 79(3), pages 383-404, December.
    5. Sampath Rajagopalan & Medini R. Singh & Thomas E. Morton, 1998. "Capacity Expansion and Replacement in Growing Markets with Uncertain Technological Breakthroughs," Management Science, INFORMS, vol. 44(1), pages 12-30, January.
    6. S. Rajagopalan, 1998. "Capacity Expansion and Equipment Replacement: A Unified Approach," Operations Research, INFORMS, vol. 46(6), pages 846-857, December.
    7. Jen Tang & Kwei Tang, 1993. "A note on parallel machine replacement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 569-573, June.
    8. Chand, Suresh & McClurg, Tim & Ward, Jim, 2000. "A model for parallel machine replacement with capacity expansion," European Journal of Operational Research, Elsevier, vol. 121(3), pages 519-531, March.
    9. İ. Esra Büyüktahtakın & Joseph C. Hartman, 2016. "A mixed-integer programming approach to the parallel replacement problem under technological change," International Journal of Production Research, Taylor & Francis Journals, vol. 54(3), pages 680-695, February.
    10. Hartman, Joseph C., 2004. "Multiple asset replacement analysis under variable utilization and stochastic demand," European Journal of Operational Research, Elsevier, vol. 159(1), pages 145-165, November.
    11. Philip C. Jones & James L. Zydiak & Wallace J. Hopp, 1991. "Parallel machine replacement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 351-365, June.
    12. Tim McClurg & Suresh Chand, 2002. "A parallel machine replacement model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(3), pages 275-287, April.
    13. Joseph C. Hartman & Chin Hon Tan, 2014. "Equipment Replacement Analysis: A Literature Review and Directions for Future Research," The Engineering Economist, Taylor & Francis Journals, vol. 59(2), pages 136-153, April.
    14. Emmanuel des-Bordes & İ. Esra Büyüktahtakın, 2017. "Optimizing capital investments under technological change and deterioration: A case study on MRI machine replacement," The Engineering Economist, Taylor & Francis Journals, vol. 62(2), pages 105-131, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhang, Le & Gu, Weihua & Fu, Liangliang & Mei, Yu & Hu, Yaohua, 2021. "A two-stage heuristic approach for fleet management optimization under time-varying demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).

    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. Zhang, Le & Gu, Weihua & Fu, Liangliang & Mei, Yu & Hu, Yaohua, 2021. "A two-stage heuristic approach for fleet management optimization under time-varying demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    2. Suzanne Childress & Pablo Durango‐Cohen, 2005. "On parallel machine replacement problems with general replacement cost functions and stochastic deterioration," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 409-419, August.
    3. Joseph C. Hartman, 2000. "The parallel replacement problem with demand and capital budgeting constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(1), pages 40-56, February.
    4. Tim McClurg & Suresh Chand, 2002. "A parallel machine replacement model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(3), pages 275-287, April.
    5. Paul R. Kleindorfer & Andrei Neboian & Alain Roset & Stefan Spinler, 2012. "Fleet Renewal with Electric Vehicles at La Poste," Interfaces, INFORMS, vol. 42(5), pages 465-477, October.
    6. Martínez-Costa, Carme & Mas-Machuca, Marta & Benedito, Ernest & Corominas, Albert, 2014. "A review of mathematical programming models for strategic capacity planning in manufacturing," International Journal of Production Economics, Elsevier, vol. 153(C), pages 66-85.
    7. Julka, Nirupam & Baines, Tim & Tjahjono, Benny & Lendermann, Peter & Vitanov, Val, 2007. "A review of multi-factor capacity expansion models for manufacturing plants: Searching for a holistic decision aid," International Journal of Production Economics, Elsevier, vol. 106(2), pages 607-621, April.
    8. Chand, Suresh & McClurg, Tim & Ward, Jim, 2000. "A model for parallel machine replacement with capacity expansion," European Journal of Operational Research, Elsevier, vol. 121(3), pages 519-531, March.
    9. Metin Çakanyıldırım & Robin O. Roundy & Samuel C. Wood, 2004. "Optimal machine capacity expansions with nested limitations under stochastic demand," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(2), pages 217-241, March.
    10. Vernon Ning Hsu, 2002. "Dynamic Capacity Expansion Problem with Deferred Expansion and Age-Dependent Shortage Cost," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 44-54, June.
    11. Giovanni Pantuso & Kjetil Fagerholt & Stein W. Wallace, 2016. "Uncertainty in Fleet Renewal: A Case from Maritime Transportation," Transportation Science, INFORMS, vol. 50(2), pages 390-407, May.
    12. Peiling Wu & Joseph C. Hartman & George R. Wilson, 2005. "An Integrated Model and Solution Approach for Fleet Sizing with Heterogeneous Assets," Transportation Science, INFORMS, vol. 39(1), pages 87-103, February.
    13. Wenbin Wang & Mark E. Ferguson & Shanshan Hu & Gilvan C. Souza, 2013. "Dynamic Capacity Investment with Two Competing Technologies," Manufacturing & Service Operations Management, INFORMS, vol. 15(4), pages 616-629, October.
    14. Hongmin Li & Stephen C. Graves & Woonghee Tim Huh, 2014. "Optimal Capacity Conversion for Product Transitions Under High Service Requirements," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 46-60, February.
    15. Ansaripoor, Amir H. & Oliveira, Fernando S., 2018. "Flexible lease contracts in the fleet replacement problem with alternative fuel vehicles: A real-options approach," European Journal of Operational Research, Elsevier, vol. 266(1), pages 316-327.
    16. Bennett, Derek P. & Yano, Candace A., 2004. "A decomposition approach for an equipment selection and multiple product routing problem incorporating environmental factors," European Journal of Operational Research, Elsevier, vol. 156(3), pages 643-664, August.
    17. Van-Anh Truong & Robin O. Roundy, 2011. "Multidimensional Approximation Algorithms for Capacity-Expansion Problems," Operations Research, INFORMS, vol. 59(2), pages 313-327, April.
    18. Natali Hritonenko & Yuri Yatsenko, 2012. "Fleet replacement under technological shocks," Annals of Operations Research, Springer, vol. 196(1), pages 311-331, July.
    19. Eduardo González & Leonardo Epstein, 2015. "Minimum cost in a mix of new and old reusable items: an application to sizing a fleet of delivery trucks," Annals of Operations Research, Springer, vol. 232(1), pages 135-149, September.
    20. Lijian Lu & Xiaoming Yan, 2016. "Capacity investment decisions under risk aversion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(3), pages 218-235, April.

    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:218:y:2019:i:c:p:62-71. 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.