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An Analytic Model for Design of a Multivehicle Automated Guided Vehicle System

Author

Listed:
  • M. Eric Johnson

    (Owen Graduate School of Management, Vanderbilt University, Nashville, Tennessee 37203)

  • Margaret L. Brandeau

    (Department of Industrial Engineering and Engineering Management, Stanford University, Stanford, California 94305)

Abstract

We consider the problem of designing a multivehicle automated guided vehicle system (AGVS) to supplement an existing nonautomated material handling system. The AGVS consists of a pool of vehicles that deliver raw components from a central storage area to workcenters throughout the factor floor. The objective is to determine which workcenters warrant automated component delivery and the number of vehicles required to service those workcenters, to maximize the benefit of the AGVS, subject to a constraint that the average waiting time for material transport in the system not exceed a predefined limit. The pool of vehicles is modeled as an M/G/c queuing system and the design model is formulated as a binary integer program with nonlinear waiting time constraints, which are expressed by approximate queueing formula. We develop two different implicit enumeration algorithms to exactly solve the analytical model. We illustrate our model with an example of an actual AGVS design problem at Hewlett-Packard, and we present computational experience for other example design problems. We show how sensitivity analysis can be used to ensure that the analytical model yields an optimal solution to the design problem.

Suggested Citation

  • M. Eric Johnson & Margaret L. Brandeau, 1993. "An Analytic Model for Design of a Multivehicle Automated Guided Vehicle System," Management Science, INFORMS, vol. 39(12), pages 1477-1489, December.
    • Handle: RePEc:inm:ormnsc:v:39:y:1993:i:12:p:1477-1489
    DOI: 10.1287/mnsc.39.12.1477
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    Cited by:

    1. CHEVALIER, Philippe & POCHET, Yves & TALBOT, Laurence, 2001. "Design and performance analysis of a heavily loaded material handling system," LIDAM Discussion Papers CORE 2001037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Le-Anh, Tuan & De Koster, M.B.M., 2006. "A review of design and control of automated guided vehicle systems," European Journal of Operational Research, Elsevier, vol. 171(1), pages 1-23, May.
    3. Le-Anh, T. & de Koster, M.B.M., 2004. "A Review Of Design And Control Of Automated Guided Vehicle Systems," ERIM Report Series Research in Management ERS;2004-030-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. Mantel, Ronald J. & Landeweerd, Henri R. A., 1995. "Design and operational control of an AGV system," International Journal of Production Economics, Elsevier, vol. 41(1-3), pages 257-266, October.
    5. 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.

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