Research Reports from the Department of Operations
Document Type
Report
Publication Date
9-10-1986
Abstract
This paper addresses the integration of quality control techniques within queueing-based job shop models, specifically the M/G/1 queue framework. While previous research has extensively explored job shop models and flexible manufacturing systems, the incorporation of quality management has been limited. This study introduces an economic design for attribute control charts that monitor the quality of outputs in an M/G/1 queue, accounting for situations when the production process is in or out of control. Utilizing renewal-reward theory, we optimize quality control parameters and establish a joint objective for balancing quality and quantity in production. The methodology includes a sampling technique inspired by previous studies, enabling the identification of assignable causes for defects and informing decisions on process adjustments. The paper concludes with numerical examples illustrating the impact of quality control measures on the operating characteristics of the M/G/1 queue, emphasizing the interdependence of quality and quantity in production management.
Keywords
Operations research, Queueing theory, Job shops, Manufacturing processes, Quality control, Process control--Statistical methods, Flexible manufacturing systems, Production management, Inventory control
Publication Title
Technical Memorandums from the Department of Operations, School of Management, Case Western Reserve University
Issue
Technical memorandum no. 597
Rights
This work is in the public domain and may be freely downloaded for personal or academic use
Recommended Citation
Hsu, Lie-Fern and Tapiero, Charles S., "Economic Design of Attribute Control Charts in an M/G/1 Job Shop Queue" (1986). Research Reports from the Department of Operations. 172.
https://commons.case.edu/wsom-ops-reports/172