RT Journal Article SR Electronic A1 Altiaieb Moussttfa, Aboubaker A1 Malinžák, Dušan T1 A Finite Capacity of Production Planning Approach for Industrial Manufacturing JF Acta Mechanica Slovaca YR 2013 VO 17 IS 1 SP 84 OP 88 DO 10.21496/ams.2013.013 UL https://www.actamechanica.sk/artkey/ams-201301-0013.php AB This paper discusses a production planning approach that takes the finite capacity of the manufacturing system into account. The approach is based on a reduced level of detail modeling of the process flows. The paper considers explicitly only bottleneck steps. A mixed integer programming (MIP) formulation is suggested to determine completion time targets for the bottleneck steps of the lots. A Lagrange relaxation technique is applied to solve the MIP approximately. Intermediate capacity management is related to rough-cut capacity planning, linked to the master schedule, and capacity requirements planning, and linked to the material requirements plan.