Fixed-sequence Single Machine Scheduling and Outbound Delivery Problems

Azeddine Cheref, Alessandro Agnetis, Christian Artigues, Jean-Charles Billaut
2016 Proceedings of 5th the International Conference on Operations Research and Enterprise Systems  
In this paper, we study an integrated production an outbound delivery scheduling problem with a predefined sequence. The manufacturer has to process a set of jobs on a single machine and deliver them in batches to multiple customers. A single vehicle with limited capacity is used for the delivery. Each job has a processing time and a specific customer location. Starting from the manufacturer location, the vehicle delivers a set of jobs which constitute a batch by taking into account the
more » ... account the transportation times. Since the production sequence and delivery sequence are fixed and identical, the problem consists in deciding the composition of batches. We prove that for any regular sum-type objective function of the delivery times, the problem in NP-hard in the ordinary sense and can be solved in pseudopolynomial time. A dynamic programming algorithm is proposed.
doi:10.5220/0005701201450151 dblp:conf/icores/CherefAAB16 fatcat:3fob276wfra2big6iww6bq77cq