@unpublished{16452,
abstract = {We consider the problem of dominating set-based virtual backbone used for
routing in asymmetric wireless ad-hoc networks. These networks have non-uniform
transmission ranges and are modeled using the well-established disk graphs. The
corresponding graph theoretic problem seeks a strongly connected
dominating-absorbent set of minimum cardinality in a digraph. A subset of nodes
in a digraph is a strongly connected dominating-absorbent set if the subgraph
induced by these nodes is strongly connected and each node in the graph is
either in the set or has both an in-neighbor and an out-neighbor in it.
Distributed algorithms for this problem are of practical significance due to
the dynamic nature of ad-hoc networks. We present a first distributed
approximation algorithm, with a constant approximation factor and O(Diam)
running time, where Diam is the diameter of the graph. Moreover we present a
simple heuristic algorithm and conduct an extensive simulation study showing
that our heuristic outperforms previously known approaches for the problem.},
author = {Abu-Khzam, Faisal N. and Markarian, Christine and Meyer auf der Heide, Friedhelm and Schubert, Michael},
booktitle = {arXiv:1510.01866},
title = {{Approximation and Heuristic Algorithms for Computing Backbones in Asymmetric Ad-Hoc Networks}},
year = {2015},
}
@phdthesis{317,
author = {Jähn, Claudius},
publisher = {Universität Paderborn},
title = {{Bewertung von Renderingalgorithmen für komplexe 3-D-Szenen}},
year = {2015},
}
@inproceedings{266,
abstract = {Many markets have seen a shift from the idea of buying and moved to leasing instead. Arguably, the latter has been the major catalyst for their success. Ten years ago, research realized this shift and initiated the study of "online leasing problems" by introducing leasing to online optimization problems. Resources required to provide a service in an "online leasing problem" are no more bought but leased for different durations. In this paper, we provide an overview of results that contribute to the understanding of "online resource leasing problems". },
author = {Markarian, Christine and Meyer auf der Heide, Friedhelm},
booktitle = {Proceedings of the 2015 ACM Symposium on Principles of Distributed Computing (PODC)},
pages = {343--344},
title = {{Online Resource Leasing}},
doi = {10.1145/2767386.2767454},
year = {2015},
}
@book{17431,
editor = {Gausemeier, Jürgen and Grafe, Michael and Meyer auf der Heide, Friedhelm},
publisher = {Verlagsschriftenreihe des Heinz Nixdorf Instituts},
title = {{Augmented & Virtual Reality in der Produktentstehung: Grundlagen, Methoden und Werkzeuge; Interaktions- und Visualisierungstechniken, Virtual Prototyping intelligenter technischer Systeme mit AR/VR}},
volume = {342},
year = {2015},
}
@inproceedings{274,
abstract = {Consider the problem in which n jobs that are classified into k types are to be scheduled on m identical machines without preemption. A machine requires a proper setup taking s time units before processing jobs of a given type. The objective is to minimize the makespan of the resulting schedule. We design and analyze an approximation algorithm that runs in time polynomial in n,m and k and computes a solution with an approximation factor that can be made arbitrarily close to 3/2.},
author = {Mäcker, Alexander and Malatyali, Manuel and Meyer auf der Heide, Friedhelm and Riechers, Sören},
booktitle = {Algorithms and Data Structures: 14th International Symposium, WADS 2015, Victoria, BC, Canada, August 5-7, 2015. Proceedings},
editor = {Dehne, Frank and Sack, Jörg Rüdiger and Stege, Ulrike},
pages = {542----553},
title = {{Non-preemptive Scheduling on Machines with Setup Times}},
doi = {10.1007/978-3-319-21840-3_45},
year = {2015},
}
@phdthesis{267,
author = {Markarian, Christine},
publisher = {Universität Paderborn},
title = {{Online Resource Leasing}},
year = {2015},
}
@article{320,
abstract = {We consider structural and algorithmic questions related to the Nash dynamics of weighted congestion games. In weighted congestion games with linear latency functions, the existence of pure Nash equilibria is guaranteed by a potential function argument. Unfortunately, this proof of existence is inefficient and computing pure Nash equilibria in such games is a PLS-hard problem even when all players have unit weights. The situation gets worse when superlinear (e.g., quadratic) latency functions come into play; in this case, the Nash dynamics of the game may contain cycles and pure Nash equilibria may not even exist. Given these obstacles, we consider approximate pure Nash equilibria as alternative solution concepts. A ρ--approximate pure Nash equilibrium is a state of a (weighted congestion) game from which no player has any incentive to deviate in order to improve her cost by a multiplicative factor higher than ρ. Do such equilibria exist for small values of ρ? And if so, can we compute them efficiently?We provide positive answers to both questions for weighted congestion games with polynomial latency functions by exploiting an “approximation” of such games by a new class of potential games that we call Ψ-games. This allows us to show that these games have d!-approximate pure Nash equilibria, where d is the maximum degree of the latency functions. Our main technical contribution is an efficient algorithm for computing O(1)-approximate pure Nash equilibria when d is a constant. For games with linear latency functions, the approximation guarantee is 3+√5/2 + Oγ for arbitrarily small γ > 0; for latency functions with maximum degree d≥ 2, it is d2d+o(d). The running time is polynomial in the number of bits in the representation of the game and 1/γ. As a byproduct of our techniques, we also show the following interesting structural statement for weighted congestion games with polynomial latency functions of maximum degree d ≥ 2: polynomially-long sequences of best-response moves from any initial state to a dO(d2)-approximate pure Nash equilibrium exist and can be efficiently identified in such games as long as d is a constant.To the best of our knowledge, these are the first positive algorithmic results for approximate pure Nash equilibria in weighted congestion games. Our techniques significantly extend our recent work on unweighted congestion games through the use of Ψ-games. The concept of approximating nonpotential games by potential ones is interesting in itself and might have further applications.},
author = {Caragiannis, Ioannis and Fanelli, Angelo and Gravin, Nick and Skopalik, Alexander},
journal = {Transactions on Economics and Computation},
number = {1},
publisher = {ACM},
title = {{Approximate Pure Nash Equilibria in Weighted Congestion Games: Existence, Efficient Computation, and Structure}},
doi = {10.1145/2614687},
volume = {3},
year = {2015},
}
@inproceedings{17425,
author = {Berssenbrügge, Jan and Wiederkehr, Olga and Jähn, Claudius and Fischer, Matthias},
booktitle = {12. Paderborner Workshop Augmented & Virtual Reality in der Produktentstehung},
pages = {65--78},
publisher = {Verlagsschriftenreihe des Heinz Nixdorf Instituts},
title = {{Anbindung des Virtuellen Prototypen an die Partialmodelle intelligenter technischer Systeme}},
volume = {343},
year = {2015},
}
@inproceedings{395,
abstract = {We consider a multilevel network game, where nodes can improvetheir communication costs by connecting to a high-speed network.The n nodes are connected by a static network and each node can decideindividually to become a gateway to the high-speed network. The goalof a node v is to minimize its private costs, i.e., the sum (SUM-game) ormaximum (MAX-game) of communication distances from v to all othernodes plus a fixed price α > 0 if it decides to be a gateway. Between gatewaysthe communication distance is 0, and gateways also improve othernodes’ distances by behaving as shortcuts. For the SUM-game, we showthat for α ≤ n − 1, the price of anarchy is Θ (n/√α) and in this rangeequilibria always exist. In range α ∈ (n−1, n(n−1)) the price of anarchyis Θ(√α), and for α ≥ n(n − 1) it is constant. For the MAX-game, weshow that the price of anarchy is either Θ (1 + n/√α), for α ≥ 1, orelse 1. Given a graph with girth of at least 4α, equilibria always exist.Concerning the dynamics, both games are not potential games. For theSUM-game, we even show that it is not weakly acyclic.},
author = {Abshoff, Sebastian and Cord-Landwehr, Andreas and Jung, Daniel and Skopalik, Alexander},
booktitle = {Proceedings of the 10th International Conference on Web and Internet Economics (WINE)},
pages = {435--440},
title = {{Multilevel Network Games}},
doi = {10.1007/978-3-319-13129-0_36},
year = {2014},
}
@inproceedings{453,
abstract = {In this paper we study the potential function in congestion games. We consider both games with non-decreasing cost functions as well as games with non-increasing utility functions. We show that the value of the potential function $\Phi(\sf s)$ of any outcome $\sf s$ of a congestion game approximates the optimum potential value $\Phi(\sf s^*)$ by a factor $\Psi_{\mathcal{F}}$ which only depends on the set of cost/utility functions $\mathcal{F}$, and an additive term which is bounded by the sum of the total possible improvements of the players in the outcome $\sf s$. The significance of this result is twofold. On the one hand it provides \emph{Price-of-Anarchy}-like results with respect to the potential function. On the other hand, we show that these approximations can be used to compute $(1+\varepsilon)\cdot\Psi_{\mathcal{F}}$-approximate pure Nash equilibria for congestion games with non-decreasing cost functions. For the special case of polynomial cost functions, this significantly improves the guarantees from Caragiannis et al. [FOCS 2011]. Moreover, our machinery provides the first guarantees for general latency functions.},
author = {Feldotto, Matthias and Gairing, Martin and Skopalik, Alexander},
booktitle = {Proceedings of the 10th International Conference on Web and Internet Economics (WINE)},
pages = {30--43},
title = {{Bounding the Potential Function in Congestion Games and Approximate Pure Nash Equilibria}},
doi = {10.1007/978-3-319-13129-0_3},
year = {2014},
}