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Determination of the optimal production run and the optimal initial means of a process with dependent multiple quality characteristics subject to a random deterioration

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Abstract

In this paper, a process is considered which has multiple dependent quality characteristics. This process is subject to deterioration with time. The deterioration occurs due to assignable causes at a random point in time. The occurrence time of the assignable causes are assumed to follow two types of distribution functions: exponential and uniform. Earlier research did not consider the dependency of multiple quality characteristics in deteriorating states. A mathematical model is developed for this problem to minimise the cost of quality, process adjustments, maintenance and defects. A generalised reduced gradient search algorithm is used to find the parameters to minimise total cost per unit time for a number of numerical examples. Sensitivity analysis of the given model is also presented.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Clayton Campus, Monash University, Monash, VIC 3800, Australia

    K. Tahera, R. N. Ibrahim & P. B. Lochert

Authors
  1. K. Tahera
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  2. R. N. Ibrahim
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  3. P. B. Lochert
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Correspondence to K. Tahera.

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Tahera, K., Ibrahim, R.N. & Lochert, P.B. Determination of the optimal production run and the optimal initial means of a process with dependent multiple quality characteristics subject to a random deterioration. Int J Adv Manuf Technol 39, 623–632 (2008). https://doi.org/10.1007/s00170-007-1250-2

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  • DOI: https://doi.org/10.1007/s00170-007-1250-2

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