# Infrastructure Leasing Problems

@inproceedings{Anthony2007InfrastructureLP, title={Infrastructure Leasing Problems}, author={Barbara M. Anthony and Anupam Gupta}, booktitle={IPCO}, year={2007} }

Consider the following Steiner Tree leasing problem. Given a graph G= (V,E) with root r, and a sequence of terminal sets D t i¾? Vfor each day ti¾? [T]. A feasible solution to the problem is a set of edges E t for each tconnecting D t to 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… Expand

#### 37 Citations

Connected Facility Leasing Problems

- Computer Science
- ICTCS/CILC
- 2017

This work proposes four variants of the connected facility location problem, and gives approximation and competitive online algorithms for each of them when the (smallest) scale factor is 1. Expand

A Deterministic Algorithm for Online Steiner Tree Leasing

- Computer Science, Mathematics
- WADS
- 2017

This work studies the Online Steiner Tree Leasing problem, defined in a weighted undirected graph with a distinguished root node r and finds that an edge of length d can be leased using lease type \(\ell \) for cost \(C_\ell \cdot d\) and remains valid for time. Expand

On a Leasing Variant of the Online Connected Facility Location Problem

- Computer Science
- 2018

An algorithm is presented that is O(K · lg n)-competitive if the scaling factor is M = 1 and the goal is to use these temporary resources to maintain a dynamic infrastructure that serves n requests while minimizing the total cost. Expand

Online Algorithms for Leasing Vertex Cover and Leasing Non-metric Facility Location

- Computer Science
- ICORES
- 2019

This work gives the first online algorithms for two classical N P -hard optimization problems, Vertex Cover (VC) and nonmetric Facility Location (non-metric FL), evaluated using the standard notion of competitive analysis. Expand

Offline and Online Facility Leasing

- Computer Science
- IPCO
- 2008

This paper considers the online version of the facility leasing problem, in which the clients to be served arrive over time and are not known in advance and gives a deterministic algorithm for the problem that is O(K log n)-competitive. Expand

Offline and online facility leasing

- Computer Science, Mathematics
- Discret. Optim.
- 2013

This work modifications an O ( log n ) -competitive algorithm of Fotakis (2007) for the online facility location problem and reanalyzes his algorithm via the dual-fitting technique to prove that it achieves the O (log n ) competitive ratio. Expand

Approximation algorithms for the robust facility leasing problem

- Mathematics, Computer Science
- Optim. Lett.
- 2018

This paper presents a 6-approximation algorithm for the RFLE, which is a variant of the well-known facility leasing problem and alters the phase of constructing an integer primal feasible solution with a careful recognition on the leasing facilities. Expand

On Generalizations of the Parking Permit Problem and Network Leasing Problems

- Computer Science
- Electron. Notes Discret. Math.
- 2017

This work obtains a 4-approximation algorithm and, for the online setting, a deterministic O(K)-competitive algorithm and a randomized O ( lg K ) -competitive algorithm, where K is the number of permit types. Expand

Towards Flexible Demands in Online Leasing Problems

- Mathematics, Computer Science
- Algorithmica
- 2018

A new model for online leasing problems in which a resource can be leased for K different durations each incurring a different cost (longer leases cost less per time unit) is introduced. Expand

An Algorithm for Online Facility Leasing

- Computer Science
- SIROCCO
- 2012

This work develops and analyzes the first online algorithm for an online facility location problem that has a time-independent competitive factor and proves that it is O (log^2(\ensuremath{l_{\text{max}}}))-competitive for many "natural" cases. Expand

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