construction of efficient block designs for microarray experiments andmixed effects

Microarray experiments form an important tool in gene expression analysis.if arrays are considered as blocks and varieties as treatments (e.g. type of tissues,drug treatments), then a classical incomplete block design can be usefull for microarrayexperiments. construction of optimal designs under some of the optimality criteria forthese experiments is very important. but, optimal block designs with theoretical methodsare difficult to obtain. therefore, finding optimal block designs using computeraidedsearches has received a lot of attention. in this paper, the treatment effects andthe block effects are taken to be fixed and random, respectively. then an algorithm isproposed to obtain the optimal or near-optimal designs in a short time even for largenumbers of blocks or treatments or both. also, the algorithm is developed for k-colour.