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Variance of the number of units produced on a transfer line with buffer inventories during a period of length T

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  • G. J. Miltenburg

Abstract

The transfer‐line models in the literature are planning models rather than operational models. That is, they are very useful for planning or designing the transfer line, but are less useful for controlling the daily operation of the line. The performance measure used in these models is the efficiency of the line A. The expected number of units produced during a period of length T cycles is AT. In this article a procedure is presented for calculating the variance of the number of units produced by the transfer line during a period of length T cycles. These two performance measures can be used to construct an interval estimate for, say, the number of units produced during a shift. This interval estimate is an operational guide for the production manager.

Suggested Citation

  • G. J. Miltenburg, 1987. "Variance of the number of units produced on a transfer line with buffer inventories during a period of length T," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 811-822, December.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:6:p:811-822
    DOI: 10.1002/1520-6750(198712)34:63.0.CO;2-Z
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    Cited by:

    1. He, Xin-Feng & Wu, Su & Li, Quan-Lin, 2007. "Production variability of production lines," International Journal of Production Economics, Elsevier, vol. 107(1), pages 78-87, May.
    2. Tan, Baris, 1997. "Variance of the throughput of an N-station production line with no intermediate buffers and time dependent failures," European Journal of Operational Research, Elsevier, vol. 101(3), pages 560-576, September.
    3. Farhood Rismanchian & Young Hoon Lee, 2018. "Moment-based approximations for first- and second-order transient performance measures of an unreliable workstation," Operational Research, Springer, vol. 18(1), pages 75-95, April.
    4. Papadopoulos, H. T. & Heavey, C., 1996. "Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines," European Journal of Operational Research, Elsevier, vol. 92(1), pages 1-27, July.
    5. Tan, Baris, 1998. "Effects of variability on the due-time performance of a continuous materials flow production system in series," International Journal of Production Economics, Elsevier, vol. 54(1), pages 87-100, January.
    6. Tan, Bar[iota]s, 1999. "Variance of the output as a function of time: Production line dynamics," European Journal of Operational Research, Elsevier, vol. 117(3), pages 470-484, September.

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