Towards Flexible Demands in Online Leasing Problems

  • Shouwei Li
  • Alexander Mäcker
  • Christine MarkarianEmail author
  • Friedhelm Meyer auf der Heide
  • Sören Riechers
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9198)


We consider online leasing problems in which demands arrive over time and need to be served by leasing resources. We introduce a new model for these problems such that a resource can be leased for K different durations each incurring a different cost (longer leases cost less per time unit). Each demand i can be served anytime between its arrival \(a_i\) and its deadline \(a_i + d_i\) by a leased resource. The objective is to meet all deadlines while minimizing the total leasing costs. This model is a natural generalization of Meyerson’s ParkingPermitProblem (FOCS 2005) in which \(d_i=0\) for all i. We propose an online algorithm that is \(\Theta (K + \frac{d_{max}}{l_{min}})\)-competitive where \(d_{max}\) and \(l_{min}\) denote the largest \(d_i\) and the shortest available lease length, respectively. We also extend the SetCoverLeasing problem by deadlines and give a competitive online algorithm which also improves on existing solutions for the original SetCoverLeasing problem.


Online algorithms Leasing Infrastructure problems Parking permit problem Deadlines 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Shouwei Li
    • 1
  • Alexander Mäcker
    • 1
  • Christine Markarian
    • 1
    Email author
  • Friedhelm Meyer auf der Heide
    • 1
  • Sören Riechers
    • 1
  1. 1.Heinz Nixdorf Institute and Computer Science DepartmentUniversity of PaderbornPaderbornGermany

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