Single machine scheduling with delivery dates and cumulative payoffs

International audienceWe address a scheduling problem with a new criterion and unequal release dates. This new criterion results from a practical situation in the domain of book digitization. Given a set of job-independent delivery dates, the goal is to maximize the cumulative number of jobs processed before each delivery date. We establish the complexity of the general problem. In addition, we provide a pseudopolynomial time algorithm for the two delivery dates case based on dynamic programming, and we discuss some polynomial cases