In this work, a novel combined strategy has been developed and verified for radiative boundary design problems. It is highly efficient and simple to implement and appears promising for obtaining appropriate results in practical applications. In the proposed approach, the determination of the unknown profile of heat flux through active constraints includes utilizing a new search optimization technique that is merged with the maximum entropy method (MEM). It is shown that use of the merged MEM algorithm minimizes both the occurrence of negative values for physically non-negative components, and the oscillatory profile of heat flux. A generalized computational grid based on finite-volume scheme is devised to solve the radiative transfer equation and sensitivity equations. Numerical simulations are conducted to evaluate the performance and accuracy of the present approach with regard to the classical methods involved in its derivation. Copyright © Taylor & Francis Group, LLC.