IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v227y2013i1p152-165.html
   My bibliography  Save this article

Integrated machine scheduling and vehicle routing with time windows

Author

Listed:
  • Ullrich, Christian A.

Abstract

This paper integrates production and outbound distribution scheduling in order to minimize total tardiness. The overall problem consists of two subproblems. The first addresses scheduling a set of jobs on parallel machines with machine-dependent ready times. The second focusses on the delivery of completed jobs with a fleet of vehicles which may differ in their loading capacities and ready times. Job-dependent processing times, delivery time windows, service times, and destinations are taken into account. A genetic algorithm approach is introduced to solve the integrated problem as a whole. Two main questions are examined. Are the results of integrating machine scheduling and vehicle routing significantly better than those of classic decomposition approaches which break down the overall problem, solve the two subproblems successively, and merge the subsolutions to form a solution to the overall problem? And if so, is it possible to capitalize on these potentials despite the complexity of the integrated problem? Both questions are tackled by means of a numerical study. The genetic algorithm outperforms the classic decomposition approaches in case of small-size instances and is able to generate relatively good solutions for instances with up to 50 jobs, 5 machines, and 10 vehicles.

Suggested Citation

  • Ullrich, Christian A., 2013. "Integrated machine scheduling and vehicle routing with time windows," European Journal of Operational Research, Elsevier, vol. 227(1), pages 152-165.
    • Handle: RePEc:eee:ejores:v:227:y:2013:i:1:p:152-165
    DOI: 10.1016/j.ejor.2012.11.049
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712009010
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2012.11.049?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. Zhi-Long Chen & George L. Vairaktarakis, 2005. "Integrated Scheduling of Production and Distribution Operations," Management Science, INFORMS, vol. 51(4), pages 614-628, April.
    2. Biskup, Dirk & Herrmann, Jan & Gupta, Jatinder N.D., 2008. "Scheduling identical parallel machines to minimize total tardiness," International Journal of Production Economics, Elsevier, vol. 115(1), pages 134-142, September.
    3. Yuan, Jinjiang & Soukhal, Ameur & Chen, Youjun & Lu, Lingfa, 2007. "A note on the complexity of flow shop scheduling with transportation constraints," European Journal of Operational Research, Elsevier, vol. 178(3), pages 918-925, May.
    4. Zhong, Weiya & Dosa, Gyorgy & Tan, Zhiyi, 2007. "On the machine scheduling problem with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1057-1072, November.
    5. Wang, Xiuli & Cheng, T.C.E., 2009. "Production scheduling with supply and delivery considerations to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 194(3), pages 743-752, May.
    6. Desrochers, M. & Lenstra, J. K. & Savelsbergh, M. W. P., 1990. "A classification scheme for vehicle routing and scheduling problems," European Journal of Operational Research, Elsevier, vol. 46(3), pages 322-332, June.
    7. Herrmann, Jeffrey W. & Lee, Chung-Yee, 1993. "On scheduling to minimize earliness-tardiness and batch delivery costs with a common due date," European Journal of Operational Research, Elsevier, vol. 70(3), pages 272-288, November.
    8. Pongcharoen, P. & Hicks, C. & Braiden, P. M. & Stewardson, D. J., 2002. "Determining optimum Genetic Algorithm parameters for scheduling the manufacturing and assembly of complex products," International Journal of Production Economics, Elsevier, vol. 78(3), pages 311-322, August.
    9. Wang, Xiuli & Cheng, T.C.E., 2009. "Logistics scheduling to minimize inventory and transport costs," International Journal of Production Economics, Elsevier, vol. 121(1), pages 266-273, September.
    10. Chen, Bo & Lee, Chung-Yee, 2008. "Logistics scheduling with batching and transportation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 871-876, September.
    11. Averbakh, Igor & Xue, Zhihui, 2007. "On-line supply chain scheduling problems with preemption," European Journal of Operational Research, Elsevier, vol. 181(1), pages 500-504, August.
    12. Soukhal, A. & Oulamara, A. & Martineau, P., 2005. "Complexity of flow shop scheduling problems with transportation constraints," European Journal of Operational Research, Elsevier, vol. 161(1), pages 32-41, February.
    13. Hirofumi Matsuo, 1988. "The Weighted Total Tardiness Problem with Fixed Shipping Times and Overtime Utilization," Operations Research, INFORMS, vol. 36(2), pages 293-307, April.
    14. Cheng, T. C. Edwin & Gordon, Valery S. & Kovalyov, Mikhail Y., 1996. "Single machine scheduling with batch deliveries," European Journal of Operational Research, Elsevier, vol. 94(2), pages 277-283, October.
    15. Alan S. Manne, 1960. "On the Job-Shop Scheduling Problem," Operations Research, INFORMS, vol. 8(2), pages 219-223, April.
    16. Edward H. Bowman, 1959. "The Schedule-Sequencing Problem," Operations Research, INFORMS, vol. 7(5), pages 621-624, October.
    17. Van Buer, Michael G. & Woodruff, David L. & Olson, Rick T., 1999. "Solving the medium newspaper production/distribution problem," European Journal of Operational Research, Elsevier, vol. 115(2), pages 237-253, June.
    18. Kathryn E. Stecke & Xuying Zhao, 2007. "Production and Transportation Integration for a Make-to-Order Manufacturing Company with a Commit-to-Delivery Business Mode," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 206-224, September.
    19. Esaignani Selvarajah & George Steiner, 2009. "Approximation Algorithms for the Supplier's Supply Chain Scheduling Problem to Minimize Delivery and Inventory Holding Costs," Operations Research, INFORMS, vol. 57(2), pages 426-438, April.
    20. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
    21. Wang, Guoqing & Cheng, T. C. Edwin, 2000. "Parallel machine scheduling with batch delivery costs," International Journal of Production Economics, Elsevier, vol. 68(2), pages 177-183, November.
    22. J Berger & M Barkaoui, 2003. "A new hybrid genetic algorithm for the capacitated vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(12), pages 1254-1262, December.
    23. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    24. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms," Transportation Science, INFORMS, vol. 39(1), pages 104-118, February.
    25. H. Neil Geismar & Gilbert Laporte & Lei Lei & Chelliah Sriskandarajah, 2008. "The Integrated Production and Transportation Scheduling Problem for a Product with a Short Lifespan," INFORMS Journal on Computing, INFORMS, vol. 20(1), pages 21-33, February.
    26. Nicholas G. Hall & 'Maseka Lesaoana & Chris N. Potts, 2001. "Scheduling with Fixed Delivery Dates," Operations Research, INFORMS, vol. 49(1), pages 134-144, February.
    27. Chang, Yung-Chia & Lee, Chung-Yee, 2004. "Machine scheduling with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 158(2), pages 470-487, October.
    28. U. Manoj & Jatinder Gupta & Sushil Gupta & Chelliah Sriskandarajah, 2008. "Supply chain scheduling: Just-in-time environment," Annals of Operations Research, Springer, vol. 161(1), pages 53-86, July.
    29. Ji, Min & He, Yong & Cheng, T.C.E., 2007. "Batch delivery scheduling with batch delivery cost on a single machine," European Journal of Operational Research, Elsevier, vol. 176(2), pages 745-755, January.
    30. Nicholas Hall & Chris Potts, 2005. "The Coordination of Scheduling and Batch Deliveries," Annals of Operations Research, Springer, vol. 135(1), pages 41-64, March.
    31. Sun Lee, Ik & Yoon, S.H., 2010. "Coordinated scheduling of production and delivery stages with stage-dependent inventory holding costs," Omega, Elsevier, vol. 38(6), pages 509-521, December.
    32. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    33. Yuan, Jinjiang, 1996. "A note on the complexity of single-machine scheduling with a common due date, earliness-tardiness, and batch delivery costs," European Journal of Operational Research, Elsevier, vol. 94(1), pages 203-205, October.
    34. Zdrzalka, Stanislaw, 1995. "Analysis of approximation algorithms for single-machine scheduling with delivery times and sequence independent batch setup times," European Journal of Operational Research, Elsevier, vol. 80(2), pages 371-380, January.
    35. Nicholas G. Hall & Chris N. Potts, 2003. "Supply chain scheduling: Batching and delivery," Operations Research, INFORMS, vol. 51(4), pages 566-584, August.
    36. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October.
    37. Mazdeh, Mohammad Mahdavi & Sarhadi, Mansoor & Hindi, Khalil S., 2007. "A branch-and-bound algorithm for single-machine scheduling with batch delivery minimizing flow times and delivery costs," European Journal of Operational Research, Elsevier, vol. 183(1), pages 74-86, November.
    38. C. N. Potts, 1980. "Technical Note—Analysis of a Heuristic for One Machine Sequencing with Release Dates and Delivery Times," Operations Research, INFORMS, vol. 28(6), pages 1436-1441, December.
    39. Zhi-Long Chen & Guruprasad Pundoor, 2006. "Order Assignment and Scheduling in a Supply Chain," Operations Research, INFORMS, vol. 54(3), pages 555-572, June.
    40. Hartmut Stadtler & Bernhard Fleischmann & Martin Grunow & Herbert Meyr & Christopher Sürie, 2012. "Advanced Planning in Supply Chains," Management for Professionals, Springer, number 978-3-642-24215-1, December.
    41. Chen, Zhi-Long, 1996. "Scheduling and common due date assignment with earliness-tardiness penalties and batch delivery costs," European Journal of Operational Research, Elsevier, vol. 93(1), pages 49-60, August.
    42. Averbakh, Igor, 2010. "On-line integrated production-distribution scheduling problems with capacitated deliveries," European Journal of Operational Research, Elsevier, vol. 200(2), pages 377-384, January.
    43. Christos Koulamas, 1994. "The Total Tardiness Problem: Review and Extensions," Operations Research, INFORMS, vol. 42(6), pages 1025-1041, 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. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    2. Zhong, Xueling & Fan, Jie & Ou, Jinwen, 2022. "Coordinated scheduling of the outsourcing, in-house production and distribution operations," European Journal of Operational Research, Elsevier, vol. 302(2), pages 427-437.
    3. Gao, Su & Qi, Lian & Lei, Lei, 2015. "Integrated batch production and distribution scheduling with limited vehicle capacity," International Journal of Production Economics, Elsevier, vol. 160(C), pages 13-25.
    4. Azeddine Cheref & Alessandro Agnetis & Christian Artigues & Jean-Charles Billaut, 2017. "Complexity results for an integrated single machine scheduling and outbound delivery problem with fixed sequence," Journal of Scheduling, Springer, vol. 20(6), pages 681-693, December.
    5. Zhi-Long Chen & Guruprasad Pundoor, 2006. "Order Assignment and Scheduling in a Supply Chain," Operations Research, INFORMS, vol. 54(3), pages 555-572, June.
    6. Sun Lee, Ik & Yoon, S.H., 2010. "Coordinated scheduling of production and delivery stages with stage-dependent inventory holding costs," Omega, Elsevier, vol. 38(6), pages 509-521, December.
    7. Esaignani Selvarajah & George Steiner, 2009. "Approximation Algorithms for the Supplier's Supply Chain Scheduling Problem to Minimize Delivery and Inventory Holding Costs," Operations Research, INFORMS, vol. 57(2), pages 426-438, April.
    8. Kathryn E. Stecke & Xuying Zhao, 2007. "Production and Transportation Integration for a Make-to-Order Manufacturing Company with a Commit-to-Delivery Business Mode," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 206-224, September.
    9. Chen, Bo & Lee, Chung-Yee, 2008. "Logistics scheduling with batching and transportation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 871-876, September.
    10. Wan, Long & Zhang, An, 2014. "Coordinated scheduling on parallel machines with batch delivery," International Journal of Production Economics, Elsevier, vol. 150(C), pages 199-203.
    11. Schmid, Verena & Doerner, Karl F. & Laporte, Gilbert, 2013. "Rich routing problems arising in supply chain management," European Journal of Operational Research, Elsevier, vol. 224(3), pages 435-448.
    12. Lixin Tang & Feng Li & Jiyin Liu, 2015. "Integrated scheduling of loading and transportation with tractors and semitrailers separated," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(5), pages 416-433, August.
    13. Liang-Liang Fu & Mohamed Ali Aloulou & Christian Artigues, 2018. "Integrated production and outbound distribution scheduling problems with job release dates and deadlines," Journal of Scheduling, Springer, vol. 21(4), pages 443-460, August.
    14. Sağlam, Ümit & Banerjee, Avijit, 2018. "Integrated multiproduct batch production and truck shipment scheduling under different shipping policies," Omega, Elsevier, vol. 74(C), pages 70-81.
    15. Ronald Armstrong & Su Gao & Lei Lei, 2008. "A zero-inventory production and distribution problem with a fixed customer sequence," Annals of Operations Research, Springer, vol. 159(1), pages 395-414, March.
    16. Deyun Wang & Olivier Grunder & Abdellah EL Moudni, 2014. "Using genetic algorithm for lot sizing and scheduling problem with arbitrary job volumes and distinct job due date considerations," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(8), pages 1694-1707, August.
    17. Ali Gharaei & Fariborz Jolai, 2021. "A Pareto approach for the multi-factory supply chain scheduling and distribution problem," Operational Research, Springer, vol. 21(4), pages 2333-2364, December.
    18. Esaignani Selvarajah & Rui Zhang, 2014. "Supply chain scheduling to minimize holding costs with outsourcing," Annals of Operations Research, Springer, vol. 217(1), pages 479-490, June.
    19. Chang, Yung-Chia & Lee, Chung-Yee, 2004. "Machine scheduling with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 158(2), pages 470-487, October.
    20. Maliheh Ganji & Rahmat Rabet & Seyed Mojtaba Sajadi, 2022. "A new coordinating model for green supply chain and batch delivery scheduling with satisfaction customers," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(4), pages 4566-4601, 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:ejores:v:227:y:2013:i:1:p:152-165. 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/eor .

    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.