Generating the same random numbers with threads in OMP

I am attempting to multithread some code with OMP. Currently my sequentially version using rand() to generate a set of random numbers with a consistent seed so that they return the same results when run each time. I want to parallelise my code but rand() is not thread safe. Can someone please show me how i would go about using a random number generator that works on threads so i can produce the same data set upon each test similar to that of using a seed with rand(). My code im parallelising is as follows:

    long linkCnt;
    long j;
    long t;
    srand(randInit);

    linkCnt=0; //Keep track of # of outgoing edges
 #pragma omp parallel for schedule(runtime) private(t)
    for(j = 0; j < G->N; j++)
    {

        if(i == j){
            t = NO_CONN;
        } else {
            t = (rand() % ((MAX_EDGE_WEIGTH-1) * 2)+1); //50% of having no connection
            if(t > MAX_EDGE_WEIGTH){
                //t = INF; //Like no connection
                t = NO_CONN; //Like no connection
            } else {
                linkCnt++;
                G->visited[j] = VISITED; //Do this to find isolated nods that have no incomming edge
            }
        }

        G->node[i][j] = t;
    }