Mathematical Modeling of Master Production Schedule with Campaign Planning Constraints

Campaign planning plays an important role in the batch production of varieties of products from the same assembly line in manufacturing industries. Its goal is to plan activities in a way so as to reduce unnecessary production overheads, such as changeover time, inventory, etc., while at the same time improving demand satisfaction. Master production schedule (MPS) is one of the main components in the master planning process in manufacturing. It prepares a detailed plan for individual products produced in each period. For some process industries that manufacture their products on production lines, MPS needs to consider campaign planning as it impacts key performance indicators. We propose a mathematical formulation for MPS that takes into account campaign planning constraints. We apply this model to a tire industry and compare it to an existing heuristic.