Optimum formulation of cathode mix for a multi-response set-up using design optimality criteria

Optimal formulation of cathode mix for zinc-carbon dry cell is a challenging task to the battery manufacturers, the performance of which is characterised by a set of seven performance characteristics (responses). Standard experimental designs like Box-Behnken design, central composite designs are unable to conclude the optimal experimental setting due to the problem of infeasibility or non-orthogonality. This paper makes an attempt to determine the feasible and optimum factor setting of cathode mix formulation while optimising the multiple performance characteristics of zinc-carbon battery. First, a technically feasible and nearly orthogonal design is achieved within the design space using design optimality criteria. Then, five different multi-response optimisation techniques are applied to select the factor setting combination that simultaneously optimises all the responses. All the five methods suggest a particular combination of factors as the optimal formulation of cathode mix.

[1]  Ashok Kumar Sahoo,et al.  Mathematical modelling and multi-response optimisation using response surface methodology and grey based Taguchi method: an experimental investigation , 2011 .

[2]  Deng Ju-Long,et al.  Control problems of grey systems , 1982 .

[4]  Genichi Taguchi,et al.  Introduction to quality engineering.... , 2014 .

[5]  R. N. Kackar.  Off-Line Quality Control, Parameter Design, and the Taguchi Method , 1985 .

[6]  H R Kim,et al.  Using the orthogonal array with grey relational analysis to optimize the laser hybrid welding of a 6061-T6 Al alloy sheet , 2008 .

[7]  R. Ramakrishnan,et al.  Multi response optimization of wire EDM operations using robust design of experiments , 2006 .

[8]  J. Cornell.  Experiments with Mixtures: Designs, Models and the Analysis of Mixture Data , 1982 .

[9]  J. Kiefer.  Optimum Experimental Designs , 1959 .

[10]  Lee-Ing Tong,et al.  Optimization of multi-response processes using the VIKOR method , 2007 .

[11]  Muh-Cherng Wu,et al.  An enhanced Taguchi method for optimizing SMT processes , 1992 .

[12]  A. B. Puri,et al.  Simultaneous optimisation of multiple performance characteristics in micro-EDM drilling of titanium alloy , 2012 .

[13]  Madhan Shridhar Phadke,et al.  Quality Engineering Using Robust Design , 1989 .

[14]  F. Pukelsheim.  Optimal Design of Experiments , 1993 .

[15]  Chih-Hung Tsai,et al.  Applying Grey Relational Analysis to the Vender Evaluation Model , 2003 .

[16]  H. Chernoff.  Locally Optimal Designs for Estimating Parameters , 1953 .

[17]  Dong-Woo Cho,et al.  The optimization of hybrid scaffold fabrication process in precision deposition system using design of experiments , 2009 .

[18]  Chun-Yao Hsu,et al.  Optimization of the sputtering process parameters of GZO films using the Grey–Taguchi method , 2010 .

[19]  Min Yang.  A-optimal designs for generalized linear models with two parameters , 2008 .

[20]  W. Näther.  Optimum experimental designs , 1994 .

[21]  Chao-Ton Su,et al.  OPTIMIZING MULTI‐RESPONSE PROBLEMS IN THE TAGUCHI METHOD BY FUZZY MULTIPLE ATTRIBUTE DECISION MAKING , 1997 .

[22]  Ching-Lai Hwang,et al.  Multiple attribute decision making : an introduction , 1995 .

[23]  J. Kiefer,et al.  Optimum Designs in Regression Problems , 1959 .

[24]  W. J. Studden,et al.  Theory Of Optimal Experiments , 1972 .

[25]  C. Wang,et al.  Optimizing multiple quality characteristics via Taguchi method-based Grey analysis , 2007 .

[26]  A. Wald.  On the Efficient Design of Statistical Investigations , 1943 .