Title: Mathematical modelling and optimisation for process planning of multi-part turning with considering throughput and dimensional quality

Authors: Tamer F. Abdelmaguid; Tarek M. El-Hossainy

Addresses: Mechanical Design and Production Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt ' Mechanical Design and Production Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt

Abstract: Traditionally, the process design of the turning operation focused on the objective of optimising the economics of the process; while quality issues are dealt with separately. Recently, some research utilised Taguchi's loss function (TLF) to represent deviations from target quality levels by equivalent costs that can be integrated into the process design economic models. One shortcoming of that approach is the difficulty of estimating accurate quality loss coefficients for TLF. This paper introduces a multiobjective optimisation approach for the process design of a single-pass, multi-part turning process. Two objectives are considered simultaneously; the first is related to the economics of the process, specifically maximising the throughput. The second objective aims at minimising the deviations of the dimensions of the produced parts from the target value. The non-dominated sorting genetic algorithm (NSGA-II) is used to provide efficient solutions. The effectiveness of the proposed multiobjective approach is demonstrated through an illustrative example.

Keywords: mathematical modelling; multiobjective optimisation; genetic algorithms; NSGA-II; throughput; process planning; multi-part turning; dimensional quality; process design.

DOI: 10.1504/IJMMNO.2014.065401

International Journal of Mathematical Modelling and Numerical Optimisation, 2014 Vol.5 No.4, pp.280 - 294

Received: 04 Sep 2013
Accepted: 23 May 2014

Published online: 31 Oct 2014 *

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