utilizing a chosen rule to establish a priority for mapping of a plurality of nets of electrical components which need to be electrically connected;

generating a mapping assignment based on the priority for mapping, in which the act of generating a mapping assignment comprises:

assigning a source element to a destination element for a first set of elements having a first priority;

attempting to assign a second source element to a second destination element for a second set of elements having a second priority;

identifying an unavailable destination element in the second set; and

adjusting an assignment of the first set to make the unavailable destination element available; and

refining the mapping assignment recursively to converge on an optimized solution by injecting an element of randomness into an assignment process, in which the act of refining comprises:

selecting a set of elements in the mapping assignment;

reassigning the set of elements;

adjusting one or more other element assignments based on the set of elements reassigned; and

determining whether a resulting adjusted assignment solution improves the established mapping assignment, wherein the resulting adjusted assignment solution becomes the established mapping assignment when there is improvement.