Keywords
Stochastic process, assembly line, machine breakdown, R programming
Abstract
The optimal speed of a machine in an assembly line is determined using a Markov decision process type model. We develop the rate matrix that represents the inter-event time of a machine, either repair time or time to breakdown, as a function of speed. We consider the rate of time to breakdown with a variety of functions of speed. We find limiting probabilities and express profit in terms of these probabilities. We then find the optimal speed to maximize profit. Further, we assume an underlying function of speed and simulate data using R. From the simulated data, we estimate the parameters of the speed function, and finally estimate the optimal speed.
Primary Advisor
Dr. M.Belalia
Co-Advisor
Dr. M. Hlynka
Program Reader
Dr, K. Granville
Degree Name
Master of Science
Department
Mathematics and Statistics
Document Type
Major Research Paper
Convocation Year
2023