Computational and Applied Mathematics

, Volume 37, Issue 2, pp 819–851 | Cite as

Flow shipment scheduling in an incomplete hub location-routing network design problem

  • Hossein Karimi
  • Mostafa Setak


This paper addresses flow shipment scheduling in the hub location-routing problem in which the hub network is not fully interconnected. The aim is to allocate each node to the located hub(s) and to schedule the departure time from the nodes. The proposed integer programming model in this paper, which is inspired by a real-life problem such as postal delivery systems, ensures that the predetermined flow is delivered at the given service time. Moreover, the model solves the problem when the flow arrival demonstrates a piecewise linear pattern. Several classes of preprocessing steps are introduced to solve the model. Computational results obtained from CAB, AP, and a new dataset for Iranian road network (IRN) confirm the efficiency of the proposed preprocessing. In fact, averagely, the run times for CAB, AP, and IRN are reduced by 75.57, 80.41, and 82.96 %, respectively, when the model is solved by preprocessing. Moreover, on average, the number of nodes in the branch and cut tree is decreased by 90.87, 95.67, and 95.86 % for CAB, AP, and IRN, respectively, using the presented preprocessing.


Hub location Routing Incomplete network Flow shipment scheduling Preprocessing 

Mathematics Subject Classification



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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2016

Authors and Affiliations

  1. 1.Department of Industrial EngineeringUniversity of BojnordBojnordIran
  2. 2.Faculty of Industrial EngineeringK.N. Toosi University of TechnologyTehranIran

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