The objective of this study is to develop an algorithm which can solve the scheduling problem of multistage flowshop with identical parallel machines in every stage. This was achieved heuristically and an aIgorithm was developed to solve this problem. This heuristic algorithm was applied to schedule the production of special purpose servicing equipment capital repair workshop. As an indication of algorithm efficiency,the absolute maximum production volume was determined using a linear programming model and compared to that realized by the proposed algorithm.