IDEAS home Printed from https://ideas.repec.org/a/sae/envirb/v11y1984i1p63-86.html
   My bibliography  Save this article

Conversational Optimization and Facility-Layout Planning

Author

Listed:
  • J MacGregor Smith
  • R S Pelosi

    (Department of Industrial Engineering and Operations Research, University of Massachusetts, Amherst, MA 01003, USA)

Abstract

Facility-layout problems are well-known members of the class of wicked problems. Not only are these problems computationally intractable, they defy precise formulation which underscores their ‘wickedness’. A conversational optimization methodology is developed for solving the facility-layout planning problem, which utilizes a Lagrangean relaxation process to transform the original problem into a simpler combinatorial optimization problem. The original problem is a set-packing problem, whereas the transformed problem is a relaxed assignment problem. Along with the conversational optimization methodology an APL (a programming language) implementation of the process, a detailed example, and additional examples demonstrating the range and flexibility of the conversational models are presented.

Suggested Citation

  • J MacGregor Smith & R S Pelosi, 1984. "Conversational Optimization and Facility-Layout Planning," Environment and Planning B, , vol. 11(1), pages 63-86, March.
    • Handle: RePEc:sae:envirb:v:11:y:1984:i:1:p:63-86
    DOI: 10.1068/b110063
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/b110063
    Download Restriction: no
    File URL: https://libkey.io/10.1068/b110063?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. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, 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. Wolosewicz, Cathy & Dauzère-Pérès, Stéphane & Aggoune, Riad, 2015. "A Lagrangian heuristic for an integrated lot-sizing and fixed scheduling problem," European Journal of Operational Research, Elsevier, vol. 244(1), pages 3-12.
    2. M Diaby & A L Nsakanda, 2006. "Large-scale capacitated part-routing in the presence of process and routing flexibilities and setup costs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(9), pages 1100-1112, September.
    3. Ogbe, Emmanuel & Li, Xiang, 2017. "A new cross decomposition method for stochastic mixed-integer linear programming," European Journal of Operational Research, Elsevier, vol. 256(2), pages 487-499.
    4. Mutsunori Yagiura & Toshihide Ibaraki & Fred Glover, 2004. "An Ejection Chain Approach for the Generalized Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 16(2), pages 133-151, May.
    5. S Bilgin & M Azizoǧlu, 2006. "Capacity and tool allocation problem in flexible manufacturing systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 670-681, June.
    6. Weijun Xie & Yanfeng Ouyang & Sze Chun Wong, 2016. "Reliable Location-Routing Design Under Probabilistic Facility Disruptions," Transportation Science, INFORMS, vol. 50(3), pages 1128-1138, August.
    7. Peter Francis & Karen Smilowitz & Michal Tzur, 2006. "The Period Vehicle Routing Problem with Service Choice," Transportation Science, INFORMS, vol. 40(4), pages 439-454, November.
    8. Park, Moon-Won & Kim, Yeong-Dae, 2000. "A branch and bound algorithm for a production scheduling problem in an assembly system under due date constraints," European Journal of Operational Research, Elsevier, vol. 123(3), pages 504-518, June.
    9. Shangyao Yan & Chun-Ying Chen & Chuan-Che Wu, 2012. "Solution methods for the taxi pooling problem," Transportation, Springer, vol. 39(3), pages 723-748, May.
    10. Jenny Carolina Saldana Cortés, 2011. "Programación semidefinida aplicada a problemas de cantidad económica de pedido," Documentos CEDE 8735, Universidad de los Andes, Facultad de Economía, CEDE.
    11. Chou, Chang-Chi & Chiang, Wen-Chu & Chen, Albert Y., 2022. "Emergency medical response in mass casualty incidents considering the traffic congestions in proximity on-site and hospital delays," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    12. Keliang Wang & Leonardo Lozano & Carlos Cardonha & David Bergman, 2023. "Optimizing over an Ensemble of Trained Neural Networks," INFORMS Journal on Computing, INFORMS, vol. 35(3), pages 652-674, May.
    13. Ibrahim Muter & Tevfik Aytekin, 2017. "Incorporating Aggregate Diversity in Recommender Systems Using Scalable Optimization Approaches," INFORMS Journal on Computing, INFORMS, vol. 29(3), pages 405-421, August.
    14. Zhang, Yongxiang & Peng, Qiyuan & Yao, Yu & Zhang, Xin & Zhou, Xuesong, 2019. "Solving cyclic train timetabling problem through model reformulation: Extended time-space network construct and Alternating Direction Method of Multipliers methods," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 344-379.
    15. Raymond K. Cheung & Chung-Lun Li & Wuqin Lin, 2002. "Interblock Crane Deployment in Container Terminals," Transportation Science, INFORMS, vol. 36(1), pages 79-93, February.
    16. Ventura, Jose A. & Radhakrishnan, Sanjay, 2003. "Single machine scheduling with symmetric earliness and tardiness penalties," European Journal of Operational Research, Elsevier, vol. 144(3), pages 598-612, February.
    17. Tiwari, Richa & Jayaswal, Sachin & Sinha, Ankur, 2021. "Alternate solution approaches for competitive hub location problems," European Journal of Operational Research, Elsevier, vol. 290(1), pages 68-80.
    18. Alexandre Belloni & Mitchell J. Lovett & William Boulding & Richard Staelin, 2012. "Optimal Admission and Scholarship Decisions: Choosing Customized Marketing Offers to Attract a Desirable Mix of Customers," Marketing Science, INFORMS, vol. 31(4), pages 621-636, July.
    19. Navneet Vidyarthi & Emre Çelebi & Samir Elhedhli & Elizabeth Jewkes, 2007. "Integrated Production-Inventory-Distribution System Design with Risk Pooling: Model Formulation and Heuristic Solution," Transportation Science, INFORMS, vol. 41(3), pages 392-408, August.
    20. Arabatzis, Garyfallos & Petridis, Konstantinos & Galatsidas, Spyros & Ioannou, Konstantinos, 2013. "A demand scenario based fuelwood supply chain: A conceptual model," Renewable and Sustainable Energy Reviews, Elsevier, vol. 25(C), pages 687-697.

    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:sae:envirb:v:11:y:1984:i:1:p:63-86. 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: SAGE Publications (email available below). General contact details of provider: .

    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.