A heuristic based on mathematical programming for a lot-sizing and scheduling problem in mold-injection production

•Tackle a new problem focusing on finished products in mold-injection manufacturing.•Develop a mathematical programming based heuristic for lot-sizing and scheduling.•Efficiently deal with lot-size of pieces and multiple mold-machine assignments.•Propose new data set for the problem to show advantages of the methodology.•Found high quality solutions using real data from companies to maximize profit.