TY - JOUR
T1 - Optimal reliability, production lot size and safety stock in an imperfect production system
AU - Sarkar, Biswajit
AU - Sana, Shib Sankar
AU - Chaudhuri, Kripasindhu
PY - 2010/6
Y1 - 2010/6
N2 - This paper is concerned with the joint determination of optimal production lot size, safety stock and reliability parameter under the realistic assumptions that the production facility is subject to random breakdown of machinery system and also to change in the variable reliability parameter. Reliability of a machinery system is a decision variable that can be increased by more investment in production technology. In this model, preventive and corrective maintenance, safety stock for repair times and shortages are adopted to generalise the model. Except machinery breakdown, the manufacturing system may shift from in-control state to out-of-control state. During out-of-control state, a certain percentage of total production consists of defective items which can be reworked immediately at a cost to make as good as perfect quality items. The cost function is maximised by Khun-Tucker method. Numerical results are provided to illustrate both the study of the optimal solutions and sensitivity of different changes in key parameters.
AB - This paper is concerned with the joint determination of optimal production lot size, safety stock and reliability parameter under the realistic assumptions that the production facility is subject to random breakdown of machinery system and also to change in the variable reliability parameter. Reliability of a machinery system is a decision variable that can be increased by more investment in production technology. In this model, preventive and corrective maintenance, safety stock for repair times and shortages are adopted to generalise the model. Except machinery breakdown, the manufacturing system may shift from in-control state to out-of-control state. During out-of-control state, a certain percentage of total production consists of defective items which can be reworked immediately at a cost to make as good as perfect quality items. The cost function is maximised by Khun-Tucker method. Numerical results are provided to illustrate both the study of the optimal solutions and sensitivity of different changes in key parameters.
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U2 - 10.1504/IJMOR.2010.033441
DO - 10.1504/IJMOR.2010.033441
M3 - Article
AN - SCOPUS:78650171747
VL - 2
SP - 467
EP - 490
JO - International Journal of Mathematics in Operational Research
JF - International Journal of Mathematics in Operational Research
SN - 1757-5850
IS - 4
ER -