This paper addresses the problem of distributing uniformly infrared radiative energy intercepted by a thermoplastic sheet surface during the infrared radiation transmitted by an oven with convection and conduction considerations. After discretizing this problem, we proposed an objective function that captures the uniform distribution of the radiative energy. With this approximation scheme, the corresponding problem appears to be nothing else than a variant of a quadratic assignment problem. Accordingly, we designed and applied a migrating bird optimization based algorithm (MBO for short), in order to minimize the corresponding objective function. To evaluate this approach we conducted a numerical experimental study.