Title: Economic design of X control chart using genetic algorithm and simulated annealing algorithm

Authors: Ineen Sultana; Imtiaz Ahmed; Abdul Hannan Chowdhury; Sanjoy Kumar Paul

Addresses: Department of Mechanical and Production Engineering, Ahsanullah University of Science and Technology (AUST), Dhaka-1208, Bangladesh ' Department of Industrial and Production Engineering, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, Bangladesh ' School of Business, North South University, Dhaka-1000, Bangladesh ' Department of Industrial and Production Engineering, Bangladesh University of Engineering and Technology (BUET), Dhaka-1000, Bangladesh

Abstract: Control charts are very popular for monitoring production processes and designed economically to achieve minimum quality costs. This paper focuses on evaluating the performance of genetic algorithm (GA) and simulated annealing algorithm (SAA) in economical design of X control chart. The performances of GA and SAA is demonstrated through a numerical example and the results were compared with Montgomery (1982). To outperform Montgomery's approach the paper dealt with the same example and demonstrate its utility. Duncan model of single assignable cause without taking into account process improvement and statistical properties is adopted to formulate the cost minimising equation and the computation is achieved through Simpson's one-third approximation rule. A comparison between the performance of GA and SAA is also exhibited in this paper.

Keywords: economic design; control charts; genetic algorithms; simulated annealing; Simpson's 1/3 rule; x-bar charts; statistical process control; SPC.

DOI: 10.1504/IJPQM.2014.064810

International Journal of Productivity and Quality Management, 2014 Vol.14 No.3, pp.352 - 372

Available online: 16 Sep 2014 *

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