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Manufacturing inventory model with discrete random machine breakdown and discrete stochastic corrective and preventive repair time

Author

Listed:
  • Om Prakash
  • A.R. Roy
  • A. Goswami

Abstract

In this paper, we consider a manufacturing inventory system with process deterioration, machine breakdown, corrective and preventive maintenance. Demand rate of items follow discrete stochastic distribution. Normally, production process starts with 'in-control' state and produce good quality items. As time passes, production equipment may deteriorate and shift to 'out-of-control' state. Afterwards, it produces some percentage of defective items. Additional deterioration of production process may result in machine breakdown during production period. If machine breakdown occurs during the production period, then corrective repair starts instantaneously otherwise preventive repair carries out at the end of production period. The machine failure time, corrective and preventive repair time and process shifting time follow discrete stochastic distribution. We formulate the mathematical model and derive the optimal production run-time which minimises total expected production cost of the system. Sensitivity of the optimal solution with respect to different parameters is also analysed.

Suggested Citation

  • Om Prakash & A.R. Roy & A. Goswami, 2013. "Manufacturing inventory model with discrete random machine breakdown and discrete stochastic corrective and preventive repair time," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 6(4), pages 394-406.
    • Handle: RePEc:ids:ijpman:v:6:y:2013:i:4:p:394-406
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