An alternative to Monte Carlo simulation method. (1st January 2011)

• Record Type: Journal Article
• Authors: Gadallah, Mohamed H.
• Is Part Of: International journal of experimental design and process optimisation. Volume 2:Number 2(2011)
• Page Start: 93
• Page End: 101
• Publication Date: 2011-01-01
• Subjects: Monte Carlo simulation -- approximations -- design of experiments -- mechanical design; Experimental design -- Periodicals; Process control -- Statistical methods -- Periodicals; 620.0072
• Languages: English
• ISSNs: 2040-2252

Abstract

Tolerance analysis usually complements tolerance synthesis; however, analysis algorithms, especially the Monte Carlo method proves highly expensive. This study offers an alternative to the Monte Carlo method. The huge sample sizes are replaced by small orthogonal experiments. The mean and variance of critical design requirements are calculated via the two methods. Preliminary results indicate the need for larger size orthogonal arrays to conform to results by Monte Carlo simulation (MCS). Two new modifications are introduced and their effects on the optimum tolerances and process combinations are studied. Results indicate the potential of the algorithm for further future developments. This study claims two important things: a not all variables are of the same importance in their domains b there is a reasonable alternative to Monte Carlo simulation method subject to use of larger size arrays.