Infrastructure Leasing Problems

  • Authors:
  • Barbara M. Anthony;Anupam Gupta

  • Affiliations:
  • Dept. of Mathematical Sciences, Carnegie Mellon University, Pittsburgh PA 15213,;Computer Science Department, Carnegie Mellon University, Pittsburgh PA 15213,

  • Venue:
  • IPCO '07 Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization
  • Year:
  • 2007

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Abstract

Consider the following Steiner Tree leasing problem. Given a graph G= (V,E) with root r, and a sequence of terminal sets Dt茂戮驴 Vfor each day t茂戮驴 [T]. A feasible solution to the problem is a set of edges Etfor each tconnecting Dtto r. Instead of obtaining edges for a single day at a time, or for infinitely long (both of which give Steiner tree problems), we leaseedges for say, { a day, a week, a month, a year}. Naturally, leasing an edge for a longer period costs less per unit of time. What is a good leasing strategy? In this paper, we give a general approach to solving a wide class of such problems by showing a close connection between deterministic leasing problems and problems in multistage stochastic optimization. All our results are in the offline setting.