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Optimal production run for a process with random linear drift

Author

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  • Rahim, M. A.
  • Banerjee, P. K.

Abstract

This paper considers the problem of selecting the optimal production run for a process with random linear drifts. A cost function per unit of finished product is derived. A search algorithm as well as a graphical method are suggested to find the optimal production run. Numerical examples are provided to illustrate how to determine the optimal production run. Finally, a sensitivity analysis of the model is performed.

Suggested Citation

  • Rahim, M. A. & Banerjee, P. K., 1988. "Optimal production run for a process with random linear drift," Omega, Elsevier, vol. 16(4), pages 347-351.
    • Handle: RePEc:eee:jomega:v:16:y:1988:i:4:p:347-351
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    Cited by:

    1. Al-Sultan, K. S. & Al-Fawzan, M. A., 1997. "An extension of Rahim and Banerjee's model for a process with upper and lower specification limits," International Journal of Production Economics, Elsevier, vol. 53(3), pages 265-280, December.
    2. Mohammad A. M. Abdel-Aal & Shokri Z. Selim, 2019. "A Generalized Process Targeting Model and an Application Involving a Production Process with Multiple Products," Mathematics, MDPI, vol. 7(8), pages 1-17, August.
    3. Al-Sultan, Khaled S. & Raouf, A., 1998. "Optimal production run for processes with constant and random drifts," International Journal of Production Economics, Elsevier, vol. 56(1), pages 13-19, September.
    4. Darwish, M.A. & Abdulmalek, F. & Alkhedher, M., 2013. "Optimal selection of process mean for a stochastic inventory model," European Journal of Operational Research, Elsevier, vol. 226(3), pages 481-490.
    5. Darwish, M.A., 2009. "Economic selection of process mean for single-vendor single-buyer supply chain," European Journal of Operational Research, Elsevier, vol. 199(1), pages 162-169, November.
    6. Williams, William W. & Tang, Kwei & Gong, Linguo, 2000. "Process improvement for a container-filling process with random shifts," International Journal of Production Economics, Elsevier, vol. 66(1), pages 23-31, June.

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