AbstractThe continuous-process job-shop scheduling problem (CPJS) arises typically in the following way: (1) a set of M machines or production facilities are available; (2) a set of N jobs are to be processed through these machines in accordance with a technological matrix; (3) the machines associated with a given job must all be used simultaneously for the completion of this job; (4) a predetermined production time is required for each job; (5) the objective is to determine a production schedule which minimizes the total completion time (makespan) of all jobs. A branch-and-bound type algorithm for the solution of the (CPJS) problem is presented.