In DOE, there are options such as Number of Starts and Design Search Time that enable you to control how much time is allocated to finding an optimal design.
// Number of Starts example
DOE(
	Custom Design,
	Add Factor( Continuous, -1, 1, "X1", 0 ),
	Add Factor( Continuous, -1, 1, "X2", 0 ),
	Add Factor( Continuous, -1, 1, "X3", 0 ),
	Number of Starts( 1000 ),
	Make Design
);
// Design Search Time example
d = DOE( Screening Design );
dt2 = Open( "$SAMPLE_DATA/Design Experiment/Weld Factors.jmp" );
d << Load Factors;
Close( dt2 );
d << {Set Random Seed( 12345 ), Screening Type( 1 ),
Suppress Cotter Designs, Design Search Time( 8 ),
Number of Column Starts( 50 ), Set Sample Size( 12 ), Make Design};

Help created on 10/11/2018