A department needs to run certain programs daily. They have access to a fixed number of machines (homogeneous machines, so each job time is independent of machine used) and have good approximations for the run time of each program.
These times are only approximate and moreover we want a schedule that is robust (in the sense that a failure of some assumption such as program time will not do too much damage). Typically one might augment them by a modest percentage; we will simply assume that has already been done and take our set of job times as given.
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