Recently (Misra 1991), a search algorithm to solve integer programming problems was introduced. It is demonstrated here that it is an efficient and easy to program search procedure for solving a general class of integer programming problems, which are usually encountered in many allocation problems. One such application is system reliability design. The algorithm solves a very wide variety of problems that otherwise cannot be easily solved through any of the existing search methods. Several illustrations are provided to establish the superiority of the approach.