Major Papers


Stochastic process, assembly line, machine breakdown, R programming


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


Dr. M. Hlynka

Program Reader

Dr, K. Granville

Degree Name

Master of Science


Mathematics and Statistics

Document Type

Major Research Paper

Convocation Year