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Approximation of multiclass queueing networks with highly variable arrivals under deterministic routing

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  • Sunkyo Kim

Abstract

In this paper, we present the heavy‐traffic bottleneck phenomenon under multiclass deterministic routing and discuss how it can be addressed by decomposition approximation. Examples show that Bitran and Tirupati's method and Whitt's enhancements for deterministic routing may not properly account for this phenomenon. We propose refinements to these methods based on Whitt's variability functions. Results of numerical experiments on simple networks and semiconductor manufacturing process show significant improvement in the approximation of expected waiting time at bottleneck stations. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

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  • Sunkyo Kim, 2005. "Approximation of multiclass queueing networks with highly variable arrivals under deterministic routing," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 399-408, August.
    • Handle: RePEc:wly:navres:v:52:y:2005:i:5:p:399-408
    DOI: 10.1002/nav.20085
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    References listed on IDEAS

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    1. Ward Whitt, 1995. "Variability Functions for Parametric-Decomposition Approximations of Queueing Networks," Management Science, INFORMS, vol. 41(10), pages 1704-1715, October.
    2. Kim, Sunkyo, 2004. "The heavy-traffic bottleneck phenomenon under splitting and superposition," European Journal of Operational Research, Elsevier, vol. 157(3), pages 736-745, September.
    3. Gabriel R. Bitran & Devanath Tirupati, 1988. "Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference," Management Science, INFORMS, vol. 34(1), pages 75-100, January.
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