Abstract
The load balancing and routing problems are combined as a single problem to capture the interaction between them. An optimization problem for joint load balancing and routing is formulated using a linear combination of the average job response time and average message delay as the performance criterion. Given an initial feasible solution, the Frank-Wolfe method is applied to solve the problem. An algorithm which gives an optimal solution is obtained. The algorithm is then extended to solve the same problem with multiple types of jobs.