Abstract
ABSTRACTThis paper considers coordinated scheduling of production and delivery with multiple factories and multiple customers. Due to the variation of cost, the production and delivery costs of a job are dependent on the factory to which it is assigned. Our problem is to find a schedule that minimises the makespan or the total completion time, subject to the constraint that the total cost does not exceed a given threshold. We first describe a linear programming algorithm to solve the preemptive case. The result of the linear program serves as a lower bound of the nonpreemptive case and suggests heuristics to solve the nonpreemptive case. We also show that minimising the total completion time subject to a given threshold of the cost is NP-complete. Computational experiments are conducted and the results show that the heuristics perform very well in practice.
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