IDEAS home Printed from https://ideas.repec.org/a/hin/complx/3418580.html
   My bibliography  Save this article

Optimizing a Biobjective Production-Distribution Planning Problem Using a GRASP

Author

Listed:
  • Martha-Selene Casas-Ramírez
  • José-Fernando Camacho-Vallejo
  • Rosa G. González-Ramírez
  • José-Antonio Marmolejo-Saucedo
  • José-Manuel Velarde-Cantú

Abstract

This paper addresses a biobjective production-distribution planning problem. The problem is formulated as a mixed integer programming problem with two objectives. The objectives are to minimize the total costs and to balance the total workload of the supply chain, which consist of plants and depots, considering that it represents a company vertically integrated. In order to solve the model, we propose an adapted biobjective GRASP to obtain an approximation of the Pareto front. To evaluate the performance of the proposed algorithm, numerical experimentations are conducted over a set of instances used for similar problems. Results indicate that the proposed GRASP obtains a relatively small number of nondominated solutions for each tested instance in very short computational time. The approximated Pareto fronts are discontinuous and nonconvex. Moreover, the solutions clearly show the compromise between both objective functions.

Suggested Citation

  • Martha-Selene Casas-Ramírez & José-Fernando Camacho-Vallejo & Rosa G. González-Ramírez & José-Antonio Marmolejo-Saucedo & José-Manuel Velarde-Cantú, 2018. "Optimizing a Biobjective Production-Distribution Planning Problem Using a GRASP," Complexity, Hindawi, vol. 2018, pages 1-13, February.
    • Handle: RePEc:hin:complx:3418580
    DOI: 10.1155/2018/3418580
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2018/3418580.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2018/3418580.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/3418580?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
    ---><---

    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. Seyed Mohammad Khalili & Fariborz Jolai & Seyed Ali Torabi, 2017. "Integrated production–distribution planning in two-echelon systems: a resilience view," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 1040-1064, February.
    3. Bhatnagar, Rohit & Chandra, Pankaj & Goyal, Suresh K., 1993. "Models for multi-plant coordination," European Journal of Operational Research, Elsevier, vol. 67(2), pages 141-160, June.
    4. Vidal, Carlos J. & Goetschalckx, Marc, 1997. "Strategic production-distribution models: A critical review with emphasis on global supply chain models," European Journal of Operational Research, Elsevier, vol. 98(1), pages 1-18, April.
    5. Haiyan Wang & Chung‐Yee Lee, 2005. "Production and transport logistics scheduling with two transport mode choices," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(8), pages 796-809, December.
    6. Devapriya, Priyantha & Ferrell, William & Geismar, Neil, 2017. "Integrated production and distribution scheduling with a perishable product," European Journal of Operational Research, Elsevier, vol. 259(3), pages 906-916.
    7. Selvarajah, Esaignani & Steiner, George, 2006. "Batch scheduling in a two-level supply chain--a focus on the supplier," European Journal of Operational Research, Elsevier, vol. 173(1), pages 226-240, August.
    8. Kergosien, Y. & Gendreau, M. & Billaut, J.-C., 2017. "A Benders decomposition-based heuristic for a production and outbound distribution scheduling problem with strict delivery constraints," European Journal of Operational Research, Elsevier, vol. 262(1), pages 287-298.
    9. Das, K. & Sengupta, S., 2009. "A hierarchical process industry production-distribution planning model," International Journal of Production Economics, Elsevier, vol. 117(2), pages 402-419, February.
    10. de Matta, Renato & Miller, Tan, 2004. "Production and inter-facility transportation scheduling for a process industry," European Journal of Operational Research, Elsevier, vol. 158(1), pages 72-88, October.
    11. Mourgaya, M. & Vanderbeck, F., 2007. "Column generation based heuristic for tactical planning in multi-period vehicle routing," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1028-1041, December.
    12. 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.
    13. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October.
    14. Awi Federgruen & Gregory Prastacos & Paul H. Zipkin, 1986. "An Allocation and Distribution Model for Perishable Products," Operations Research, INFORMS, vol. 34(1), pages 75-82, February.
    15. Mohamed, Zubair M., 1999. "An integrated production-distribution model for a multi-national company operating under varying exchange rates," International Journal of Production Economics, Elsevier, vol. 58(1), pages 81-92, January.
    16. Lai, Minghui & Cai, Xiaoqiang & Li, Xiang, 2017. "Mechanism design for collaborative production-distribution planning with shipment consolidation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 137-159.
    17. Christian Viergutz & Sigrid Knust, 2014. "Integrated production and distribution scheduling with lifespan constraints," Annals of Operations Research, Springer, vol. 213(1), pages 293-318, February.
    18. 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.
    19. 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.
    20. Jiaxi Wang & Manfred Gronalt & Yan Sun, 2017. "A two-stage approach to the depot shunting driver assignment problem with workload balance considerations," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-23, July.
    21. Maryam Darvish & Homero Larrain & Leandro C. Coelho, 2016. "A dynamic multi-plant lot-sizing and distribution problem," International Journal of Production Research, Taylor & Francis Journals, vol. 54(22), pages 6707-6717, November.
    22. Erenguc, S. Selcuk & Simpson, N. C. & Vakharia, Asoo J., 1999. "Integrated production/distribution planning in supply chains: An invited review," European Journal of Operational Research, Elsevier, vol. 115(2), pages 219-236, June.
    23. Haq, A. Noorul & Vrat, Prem & Kanda, Arun, 1991. "An integrated production-inventory-distribution model for manufacture of urea: a case," International Journal of Production Economics, Elsevier, vol. 25(1-3), pages 39-49.
    24. A. M. Geoffrion & G. W. Graves, 1974. "Multicommodity Distribution System Design by Benders Decomposition," Management Science, INFORMS, vol. 20(5), pages 822-844, January.
    25. Chan, Felix T. S. & Chung, S. H. & Wadhwa, Subhash, 2005. "A hybrid genetic algorithm for production and distribution," Omega, Elsevier, vol. 33(4), pages 345-355, August.
    26. Speranza, Maria Grazia & Ukovich, Walter, 1994. "Analysis and integration of optimization models for logistic systems," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 183-190, June.
    27. Morris A. Cohen & Hau L. Lee, 1988. "Strategic Analysis of Integrated Production-Distribution Systems: Models and Methods," Operations Research, INFORMS, vol. 36(2), pages 216-228, April.
    28. Martí, Rafael & Campos, Vicente & Resende, Mauricio G.C. & Duarte, Abraham, 2015. "Multiobjective GRASP with Path Relinking," European Journal of Operational Research, Elsevier, vol. 240(1), pages 54-71.
    29. Halvorsen-Weare, Elin E. & Savelsbergh, Martin W.P., 2016. "The bi-objective mixed capacitated general routing problem with different route balance criteria," European Journal of Operational Research, Elsevier, vol. 251(2), pages 451-465.
    30. Wei, Wenchao & Guimarães, Luis & Amorim, Pedro & Almada-Lobo, Bernardo, 2017. "Tactical production and distribution planning with dependency issues on the production process," Omega, Elsevier, vol. 67(C), pages 99-114.
    31. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    32. Lawrence D. Burns & Randolph W. Hall & Dennis E. Blumenfeld & Carlos F. Daganzo, 1985. "Distribution Strategies that Minimize Transportation and Inventory Costs," Operations Research, INFORMS, vol. 33(3), pages 469-490, June.
    33. Chandra, Pankaj & Fisher, Marshall L., 1994. "Coordination of production and distribution planning," European Journal of Operational Research, Elsevier, vol. 72(3), pages 503-517, February.
    34. İsmail Karaoğlan & Saadettin Erhan Kesen, 2017. "The coordinated production and transportation scheduling problem with a time-sensitive product: a branch-and-cut algorithm," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 536-557, January.
    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. Ling Liu & Sen Liu, 2020. "Integrated Production and Distribution Problem of Perishable Products with a Minimum Total Order Weighted Delivery Time," Mathematics, MDPI, vol. 8(2), pages 1-18, January.
    2. 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.
    3. Sun, X.T. & Chung, S.H. & Chan, Felix T.S., 2015. "Integrated scheduling of a multi-product multi-factory manufacturing system with maritime transport limits," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 110-127.
    4. 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.
    5. Guo, Zhaoxia & Shi, Leyuan & Chen, Longchao & Liang, Yong, 2017. "A harmony search-based memetic optimization model for integrated production and transportation scheduling in MTO manufacturing," Omega, Elsevier, vol. 66(PB), pages 327-343.
    6. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    7. 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.
    8. Hrabec, Dušan & Hvattum, Lars Magnus & Hoff, Arild, 2022. "The value of integrated planning for production, inventory, and routing decisions: A systematic review and meta-analysis," International Journal of Production Economics, Elsevier, vol. 248(C).
    9. Pedro L. Miranda & Reinaldo Morabito & Deisemara Ferreira, 2018. "Optimization model for a production, inventory, distribution and routing problem in small furniture companies," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 30-67, April.
    10. Kergosien, Y. & Gendreau, M. & Billaut, J.-C., 2017. "A Benders decomposition-based heuristic for a production and outbound distribution scheduling problem with strict delivery constraints," European Journal of Operational Research, Elsevier, vol. 262(1), pages 287-298.
    11. Erdem Eskigun & Reha Uzsoy & Paul V. Preckel & George Beaujon & Subramanian Krishnan & Jeffrey D. Tew, 2007. "Outbound supply chain network design with mode selection and lead time considerations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(3), pages 282-300, April.
    12. J R Montoya-Torres & A Aponte & P Rosas, 2011. "Applying GRASP to solve the multi-item three-echelon uncapacitated facility location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(2), pages 397-406, February.
    13. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October.
    14. Luca Bertazzi & Simona Cherubini, 2013. "An inventory-transportation system with stochastic demand," Computational Management Science, Springer, vol. 10(1), pages 1-20, February.
    15. 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.
    16. Lei Lei & Hua Zhong & W. Art Chaovalitwongse, 2009. "On the Integrated Production and Distribution Problem with Bidirectional Flows," INFORMS Journal on Computing, INFORMS, vol. 21(4), pages 585-598, November.
    17. Berghman, Lotte & Kergosien, Yannick & Billaut, Jean-Charles, 2023. "A review on integrated scheduling and outbound vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 311(1), pages 1-23.
    18. Agnetis, Alessandro & Aloulou, Mohamed Ali & Fu, Liang-Liang, 2014. "Coordination of production and interstage batch delivery with outsourced distribution," European Journal of Operational Research, Elsevier, vol. 238(1), pages 130-142.
    19. Eskigun, Erdem & Uzsoy, Reha & Preckel, Paul V. & Beaujon, George & Krishnan, Subramanian & Tew, Jeffrey D., 2005. "Outbound supply chain network design with mode selection, lead times and capacitated vehicle distribution centers," European Journal of Operational Research, Elsevier, vol. 165(1), pages 182-206, August.
    20. Flavio Molina & Reinaldo Morabito & Silvio Alexandre de Araujo, 2016. "MIP models for production lot sizing problems with distribution costs and cargo arrangement," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(11), pages 1395-1407, November.

    More about this item

    Statistics

    Access and download statistics

    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:hin:complx:3418580. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.