IDEAS home Printed from https://ideas.repec.org/a/wly/navres/v37y1990i2p231-244.html
   My bibliography  Save this article

An assignment problem with queueing time cost

Author

Listed:
  • Saligrama R. Agnihothri
  • Sridhar Narasimhan
  • Hasan Pirkul

Abstract

In this article we study the problem of assigning customers to service facilities with the objective of minimizing the total expected cost of accessing facilities and waiting for service at these facilities. We provide an integer programming formulation of the problem with a nonlinear objective function. A Lagrangian relaxation of the problem is described and a heuristic solution procedure is developed which utilizes the solution generated from the relaxed problem. Experimental results over a range of problems indicate that the solution method is both efficient and effective. A free standing heuristic developed for comparative purposes establishes the relative merit of the relaxation‐based heuristic.

Suggested Citation

  • Saligrama R. Agnihothri & Sridhar Narasimhan & Hasan Pirkul, 1990. "An assignment problem with queueing time cost," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(2), pages 231-244, April.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:2:p:231-244
    DOI: 10.1002/1520-6750(199004)37:23.0.CO;2-N
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/1520-6750(199004)37:23.0.CO;2-N
    Download Restriction: no
    File URL: https://libkey.io/10.1002/1520-6750(199004)37:23.0.CO;2-N?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. Wirasinghe, S. C. & Waters, N. M., 1983. "An approximate procedure for determining the number, capacities and locations of solid waste transfer-stations in an urban region," European Journal of Operational Research, Elsevier, vol. 12(1), pages 105-111, January.
    2. Lucius J. Riccio & Joseph Miller & Ann Litke, 1986. "Polishing the Big Apple: How Management Science Has Helped Make New York Streets Cleaner," Interfaces, INFORMS, vol. 16(1), pages 83-88, February.
    3. Marshall L. Fisher, 1985. "An Applications Oriented Guide to Lagrangian Relaxation," Interfaces, INFORMS, vol. 15(2), pages 10-21, April.
    4. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    5. Robert M. Clark & James I. Gillean, 1975. "Analysis of Solid Waste Management Operations in Cleveland, Ohio: A Case Study," Interfaces, INFORMS, vol. 6(1-part-2), pages 32-42, November.
    6. Prabhakant Sinha & Andris A. Zoltners, 1979. "The Multiple-Choice Knapsack Problem," Operations Research, INFORMS, vol. 27(3), pages 503-515, June.
    7. Hasan Pirkul & David A. Schilling, 1988. "The Siting of Emergency Service Facilities with Workload Capacities and Backup Service," Management Science, INFORMS, vol. 34(7), pages 896-908, July.
    8. Francis, Richard L. & McGinnis, Leon F. & White, John A., 1983. "Locational analysis," European Journal of Operational Research, Elsevier, vol. 12(3), pages 220-252, March.
    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. 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.
    2. Mazzola, Joseph B. & Neebe, Alan W., 1999. "Lagrangian-relaxation-based solution procedures for a multiproduct capacitated facility location problem with choice of facility type," European Journal of Operational Research, Elsevier, vol. 115(2), pages 285-299, June.
    3. Huisman, D. & Jans, R.F. & Peeters, M. & Wagelmans, A.P.M., 2003. "Combining Column Generation and Lagrangian Relaxation," ERIM Report Series Research in Management ERS-2003-092-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    4. J. E. Beasley, 1990. "A lagrangian heuristic for set‐covering problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(1), pages 151-164, February.
    5. Lawrence V. Snyder & Mark S. Daskin, 2005. "Reliability Models for Facility Location: The Expected Failure Cost Case," Transportation Science, INFORMS, vol. 39(3), pages 400-416, August.
    6. X-Y Li & Y P Aneja & F Baki, 2010. "An ant colony optimization metaheuristic for single-path multicommodity network flow problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(9), pages 1340-1355, September.
    7. Ahmadi, Reza H. & Kouvelis, Panagiotis, 1999. "Design of electronic assembly lines: An analytical framework and its application," European Journal of Operational Research, Elsevier, vol. 115(1), pages 113-137, May.
    8. Beasley, J. E. & Cao, B., 1996. "A tree search algorithm for the crew scheduling problem," European Journal of Operational Research, Elsevier, vol. 94(3), pages 517-526, November.
    9. Ojeong Kwon & Donghan Kang & Kyungsik Lee & Sungsoo Park, 1999. "Lagrangian relaxation approach to the targeting problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(6), pages 640-653, September.
    10. Ali Diabat & Jean-Philippe Richard & Craig Codrington, 2013. "A Lagrangian relaxation approach to simultaneous strategic and tactical planning in supply chain design," Annals of Operations Research, Springer, vol. 203(1), pages 55-80, March.
    11. Foad Iravani & Sriram Dasu & Reza Ahmadi, 2012. "A Hierarchical Framework for Organizing a Software Development Process," Operations Research, INFORMS, vol. 60(6), pages 1310-1322, December.
    12. Leyla Ozsen & Mark S. Daskin & Collette R. Coullard, 2009. "Facility Location Modeling and Inventory Management with Multisourcing," Transportation Science, INFORMS, vol. 43(4), pages 455-472, November.
    13. Marshall L. Fisher, 2004. "Comments on ÜThe Lagrangian Relaxation Method for Solving Integer Programming ProblemsÝ," Management Science, INFORMS, vol. 50(12_supple), pages 1872-1874, December.
    14. Vijay Aggarwal & Narsingh Deo & Dilip Sarkar, 1992. "The knapsack problem with disjoint multiple‐choice constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 213-227, March.
    15. Mark S. Daskin, 2008. "What you should know about location modeling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(4), pages 283-294, June.
    16. Kaiyue Zheng & Laura A. Albert, 2019. "Interdiction models for delaying adversarial attacks against critical information technology infrastructure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(5), pages 411-429, August.
    17. Snyder, Lawrence V. & Daskin, Mark S. & Teo, Chung-Piaw, 2007. "The stochastic location model with risk pooling," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1221-1238, June.
    18. Cattrysse, D. G. & van Wassenhove, L. N., 1990. "A Survey Of Algorithms For The Generalized Assignment Problem," Econometric Institute Archives 272389, Erasmus University Rotterdam.
    19. Xinyu Wu & Ruixiang Cheng & Chuntian Cheng, 2022. "A Simplified Solution Method for End-of-Term Storage Energy Maximization Model of Cascaded Reservoirs," Energies, MDPI, vol. 15(12), pages 1-18, June.
    20. Hasan Pirkul & David A. Schilling, 1998. "An Efficient Procedure for Designing Single Allocation Hub and Spoke Systems," Management Science, INFORMS, vol. 44(12-Part-2), pages 235-242, December.

    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:wly:navres:v:37:y:1990:i:2:p:231-244. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1520-6750 .

    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.