1. A heuristic algorithm for rapid formation of the explosion fragments is proposed.

2. A decomposition heuristic algorithm was developed to solve the single machine total tardiness problem.

3. Uncertain face detection is solved by heuristic algorithm, which is invulnerable to gesture, expression and accessories.

4. Then taken the ECT solution as feasible initial solution, the final solution was improved by using a heuristic algorithm.

5. The simulation results show that the new heuristic algorithm brings about better resource utilization and more balanced resource capacity assignment than the previous ones.

6. 22 But the RWA in mesh networks is a NP-hard problem which can not be solved optimally with exhaustive search in the endurable time. Hence, we designed a heuristic algorithm to solve it.