On the determination of optimal designs for an interference model

This paper generalizes Kushner's method for finding optimal repeated measur ements designs to find optimal designs under an interference model. The mod el we assume is for a one-dimensional layout without guard plots and with d ifferent left and right neighbor effects. The resulting optimal designs may need many blocks or may not even exist as a finite design. The results giv e lower bounds for optimality criteria on finite designs and the design str ucture can be used to suggest efficient small designs.