Due to time constraints and experimental possibilities I am interested in instead of a completely randomized DOE in JMP, a 'shortest path' through my experimental space (but still be as random as possible):

1) minimize the number of cases where more than one parameter changes between two consecutive experiments

2) minimize multiple-step changes between levels within the parameters (i.e. prefer '-1 to 0' and '0 to +1' over '-1 to +1').

3) adding an extra experiment would cost less time than allowing either 1 or 2.

Has someone tried this / studied the effect of this on an experimental design and the statistical effects?

(maybe to visualize: considering visiting 10 cities by car to take a sample in each city in a 20-experiment DOE, minimizing the amount of petrol you want to use - not as the goal of the experiment, but as the design of the experiment).

(I am currently on JMP 13, but can get access to JMP 14 and 15).