In this paper, the Virtual Topology Reconfiguration Problem (VTRP) on survivable WDM networks with reconfiguration constraint is studied. Given a physical topology, a dedicated path-protected virtual topology and a new traffic demand matrix, the goal of VTRP is to reconfigure the current virtual topology under the pre-specified reconfiguration constraint such that the objective value can be minimized. The objective value considered in this paper is the average weighted propagation delay (AWPD). Because designing a polynomial time algorithm to find the optimal solution of VTRP is impractical when the reconfiguration constraint is larger. In this paper, a simulated annealing (SA) and a genetic algorithm (GA) are proposed to solve this problem. Experiment results of these algorithms are also given.