PT - JOURNAL ARTICLE AU - Altiaieb Moussttfa, Aboubaker AU - Malinžák, Dušan TI - A Finite Capacity of Production Planning Approach for Industrial Manufacturing DP - 2013 Mar 31 TA - Acta Mechanica Slovaca PG - 84--88 VI - 17 IP - 1 AID - 10.21496/ams.2013.013 IS - 13352393 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.