Title: Quality control of feedback machining system with finite source and standbys

Authors: K.A.M. Kotb; Hassnaa A. El-Ashkar

Addresses: Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt ' Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt

Abstract: This paper provides the quality control policy to improve the performance and the effectiveness of the machining system with standbys (spares) from the viewpoint of the queuing theory. The unit in the system is called a customer to whom the service should be rendered. An inspector is used to control the inspection process of the serviced unit. Under steady-state situation and the feedback concept, we obtained some performance measures and the probability when the system is empty or it has n units. Some important special cases and some analysis about the economic optimisation model with illustrative numerical examples are performed.

Keywords: quality control; spares; feedback machining system; steady-state solution; economic optimisation model.

DOI: 10.1504/IJMOR.2022.121113

International Journal of Mathematics in Operational Research, 2022 Vol.21 No.2, pp.141 - 170

Received: 17 Aug 2020
Accepted: 04 Dec 2020
Published online: 25 Feb 2022 *

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