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Quadratic Assignment Problems and M/G/C/C/ State Dependent Network Flows

Author

Listed:
  • J. Macgregor Smith

    (University of Massachusetts)

  • Wu-Ji Li

    (ATT Solutions)

Abstract

One of the most notorious network design problems is the Quadratic Assignment Problem (QAP). We develop an heuristic algorithm for QAPs along with an M/G/C/C state dependent queueing model for capturing congestion in the traffic system interconnecting the nodes in the network. Computational results are also presented.

Suggested Citation

  • J. Macgregor Smith & Wu-Ji Li, 2001. "Quadratic Assignment Problems and M/G/C/C/ State Dependent Network Flows," Journal of Combinatorial Optimization, Springer, vol. 5(4), pages 421-443, December.
    • Handle: RePEc:spr:jcomop:v:5:y:2001:i:4:d:10.1023_a:1011624708694
    DOI: 10.1023/A:1011624708694
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    References listed on IDEAS

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    1. Rajat Jain & J. Macgregor Smith, 1997. "Modeling Vehicular Traffic Flow using M/G/C/C State Dependent Queueing Models," Transportation Science, INFORMS, vol. 31(4), pages 324-336, November.
    2. Li, Wu-Ji & Smith, J. MacGregor, 1995. "An algorithm for Quadratic Assignment Problems," European Journal of Operational Research, Elsevier, vol. 81(1), pages 205-216, February.
    3. Kusiak, Andrew & Heragu, Sunderesh S., 1987. "The facility layout problem," European Journal of Operational Research, Elsevier, vol. 29(3), pages 229-251, June.
    4. Chhajed, Dilip & Montreuil, Benoit & Lowe, Timothy J., 1992. "Flow network design for manufacturing systems layout," European Journal of Operational Research, Elsevier, vol. 57(2), pages 145-161, March.
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    Cited by:

    1. Silva, Allyson & Coelho, Leandro C. & Darvish, Maryam, 2021. "Quadratic assignment problem variants: A survey and an effective parallel memetic iterated tabu search," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1066-1084.
    2. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
    3. W. Hager, 2009. "COAP 2008 best paper award: Paper of P.M. Hahn, B.-J. Kim, M. Guignard, J.M. Smith and Y.-R. Zhu," Computational Optimization and Applications, Springer, vol. 44(3), pages 525-530, December.
    4. Min Zhang & Rajan Batta & Rakesh Nagi, 2009. "Modeling of Workflow Congestion and Optimization of Flow Routing in a Manufacturing/Warehouse Facility," Management Science, INFORMS, vol. 55(2), pages 267-280, February.
    5. Sheng Dong & Afaq Khattak & Feng Chen & Feifei Xu, 2024. "Stay Two-Meters Apart: Assessing the Impact of COVID-19 Social Distancing Protocols on Subway Station Walkway Performance," Sustainability, MDPI, vol. 16(16), pages 1-18, August.

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    Keywords

    quadratic assignment; stochastic networks;

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