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Modeling of Workflow Congestion and Optimization of Flow Routing in a Manufacturing/Warehouse Facility

Author

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  • Min Zhang

    (Department of Industrial and Systems Engineering, University at Buffalo (SUNY), Buffalo, New York 14260)

  • Rajan Batta

    (Department of Industrial and Systems Engineering, University at Buffalo (SUNY), Buffalo, New York 14260)

  • Rakesh Nagi

    (Department of Industrial and Systems Engineering, University at Buffalo (SUNY), Buffalo, New York 14260)

Abstract

This paper discusses the notion of workflow congestion in the context of material handling equipment interruptions in a manufacturing or warehousing facility. Development of a combination of probabilistic and physics-based models for workflow interruptions permits evaluation of the expected link travel time. The problem is then of routing in a way that minimizes total expected travel time. The rerouting problem is modeled as a multicommodity flow problem with link capacity design. A greedy upper bounding and Lagrangean relaxation algorithm are developed to solve this efficiently. To calibrate our modeling process we develop an object-oriented simulation model that explicitly considers various workflow interruptions. Our major finding is that rerouting traffic in a congested facility can significantly alleviate congestion delays and improve the efficiency of material movement. A managerial insight derived from this work is that rerouting is most effective in medium traffic-intensity situations.

Suggested Citation

  • 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.
  • Handle: RePEc:inm:ormnsc:v:55:y:2009:i:2:p:267-280
    DOI: 10.1287/mnsc.1080.0916
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    References listed on IDEAS

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    1. 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.
    2. Marshall L. Fisher, 1981. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 27(1), pages 1-18, January.
    3. John J. Bartholdi & Kevin R. Gue, 2000. "Reducing Labor Costs in an LTL Crossdocking Terminal," Operations Research, INFORMS, vol. 48(6), pages 823-832, December.
    4. Saifallah Benjaafar, 2002. "Modeling and Analysis of Congestion in the Design of Facility Layouts," Management Science, INFORMS, vol. 48(5), pages 679-704, May.
    5. Nirup N. Krishnamurthy & Rajan Batta & Mark H. Karwan, 1993. "Developing Conflict-Free Routes for Automated Guided Vehicles," Operations Research, INFORMS, vol. 41(6), pages 1077-1090, December.
    6. Chiang, Wen-Chyuan & Kouvelis, Panagiotis & Urban, Timothy L., 2006. "Single- and multi-objective facility layout with workflow interference considerations," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1414-1426, November.
    7. Vis, Iris F.A., 2006. "Survey of research in the design and control of automated guided vehicle systems," European Journal of Operational Research, Elsevier, vol. 170(3), pages 677-709, May.
    8. Wen-Chyuan Chiang & Panagiotis Kouvelis & Timothy L. Urban, 2002. "Incorporating Workflow Interference in Facility Layout Design: The Quartic Assignment Problem," Management Science, INFORMS, vol. 48(4), pages 584-590, April.
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    Keywords

    facility design; workflow congestion;

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