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Evaluating the Expected Total Cost for Imperfect Production Processes Using a Markovian Approach

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posted on 01.12.2020, 00:00 by Wael Ibrahim Al Hajailan
The expected total cost function is developed by using a Markovian approach. The imperfect production and inventory control model is considered and integrated with an irreducible discrete time Markov Chain. Two Markov Chain models are developed with/without time factor. The former model with time factor has higher accuracy in the expected total cost. The optimal total cost and detailed production plan for each state are accomplished. Two applications for the developed Markov Chain models are established. The scheduling hard time windows between two production processes. Moreover, optimal maintenance actions for the preventive maintenance, inspection, and minimal repair are attained. Finally, sensitivity analysis is performed in two categories. The first category is the by varying of the production and demand rates and the second category is by varying the production and inventory control model’s parameters. Their effects are discovered on the developed Markov Chain model.



He, David


He, David


Mechanical and Industrial Engineering

Degree Grantor

University of Illinois at Chicago

Degree Level


Degree name

PhD, Doctor of Philosophy

Committee Member

Darabi, Houshang Hu, Mengqi Ozdogru, Unsal Al-Turki, Umar

Submitted date

December 2020

Thesis type