Inflation Based replacement model for cutting tools using Markov Stochastic process
|International Journal of Engineering Trends and Technology (IJETT)||
|© 2020 by IJETT Journal|
|Year of Publication : 2020|
|Authors : Dr S Gajanana,Yayavaram Revanth Sai, K Rahul, S Rohith Yadav
|DOI : 10.14445/22315381/IJETT-V68I2P206|
MLA Style: Dr S Gajanana,Yayavaram Revanth Sai, K Rahul, S Rohith Yadav "Inflation Based replacement model for cutting tools using Markov Stochastic process" International Journal of Engineering Trends and Technology 68.2 (2020):29-35.
APA Style:Dr S Gajanana,Yayavaram Revanth Sai, K Rahul, S Rohith Yadav. Inflation Based replacement model for cutting tools using Markov Stochastic process International Journal of Engineering Trends and Technology, 68(2),29-35.
Deterioration of the equipment in any industry is inevitable and is proportional to time. In order to maintain a smooth flow in operations of the machines, it is mandatory to have a continuous monitoring. If there arises a situation where the machine or the equipment requires any kind of repair then it may delay the production. The increase in repairing and the maintenance cost demands the replacement of items. The present paper focuses on three different states of repairs of a single point cutting tool. Markov model, which is a stochastic model used to model randomly changing systems in an assumption that future states depend only on the current state is applied in generating the probabilities of items falling in different states. Based on the average cost the replacement decision is taken considering macroeconomic variable “Inflation.”
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n = time period
? = inflation
R = real interest rate
i = nominal interest rate
? = present worth factor = 1/(1+i)
C1 = Individual replacement cost per item
C2 = Minor Repair Cost
C3 = Medium Repair Cost
C4 = Major Repair Cost
C5 = Group replacement Cost
XiI = Probability of item in functional state at ith period
XiII = Probability of item in minor repairable state at ith period
XiIII = Probability of item in medium repairable state at ith period
XiIV = Probability of item in major repairable state at ith period
XiV = Probability of item in irreparable state at ith period
M = Transition probability matrix