Extending the single machine-based relaxation scheme for the job shop scheduling problem

Abstract

The contribution of this paper to the job shop related literature is twofold. First, we provide an efficient way for solving the job shop scheduling problem with release dates, delivery times and delayed precedence constraints. It is shown that the latter problem is equivalent to a classical job shop with precedence constraints. Second, an effective extension of the standard single machine-based relaxation scheme is derived. Preliminary computational results conducted on a set of benchmark instances show that effective multiple machine-based lower bounds can be computed within reasonable CPU time.