A method may include receiving input information related to communication over a network; performing processing to include setting an objective function associated with a link load in the network, setting a first constraint expression for determining the link load, generating a second constraint expression for determining path candidates for data traffic received at the network, generating a third constraint expression for determining a link band for the links based on the received data traffic, and generating a fourth constraint expression to determine a link capacity limit associated with the links, where the generating the second constraint expression and generating at least one of the first, third, or fourth constraint expressions are performed in parallel; and determining, based on the objective function and the first, second, third, and fourth constraint expressions, a path within the network for multiple point communication service from the path candidates.