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Variance of the Output as a Function of Time: Production Line Dynamics

Author

Listed:
  • Tan, B.

Abstract

We consider Markovian models of discrete materials flow production systems. The transient behavior of a production line is investigated. Namely, mean and variance of the number of parts produced in a given time period conditioned on an arbitrary initial condition is determined by using a Markov reward model. Closed-form expression for the variance of the output from a single unreliable station is derived to illustrate the procedure.

Suggested Citation

  • Tan, B., 1997. "Variance of the Output as a Function of Time: Production Line Dynamics," Papers 1997/19, Koc University.
    • Handle: RePEc:fth:kocuni:1997/19
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    Cited by:

    1. 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.

    More about this item

    Keywords

    PRODUCTION ; MODELS;

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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