“…The first attempt to use optimization technology to achieve these goals was undertaken by Deng, Bard, Chacon, and Stuber (2010) who formulated the scheduling problem as a mixed-integer program (MIP) with the following four objectives given in order of priority: (1) minimize the shortage of critical devices, (2) maximize the weighted throughput of the remaining lots, (3) minimize the number of machines used, and (4) minimize the makespan. Solutions were obtained with a reactive greedy randomized adaptive search procedure (GRASP) designed to examine a diversity of machine-tooling combinations and lot assignments over many iterations [the literature on GRASP is extensive; e.g., see Festa and Resende (2009) for an annotated bibliography of algorithms, and Feo, Venkatraman, and Bard (1991) and Monkman, Morrice, and Bard (2008) for manufacturing applications].…”