@misc{OrlowskiWessaely, author = {Orlowski, Sebastian and Wess{\"a}ly, Roland}, title = {An Integer Programming Model for Multi-Layer Network Design}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8248}, number = {04-49}, abstract = {We present an integer linear programming model for the design of multi-layer telecommunication networks. The formulation integrates hardware, capacity, routing, and grooming decisions in \emph{any} n umber of network layers. Practical hardware restrictions and cost can accurately be taken into account for technologies based on connection-oriented routing protocols.}, language = {en} } @misc{OrlowskiWessaely, author = {Orlowski, Sebastian and Wess{\"a}ly, Roland}, title = {Comparing Restoration Concepts using Optimal Network Configurations with Integrated Hardware and Routing Decisions}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-7316}, number = {03-09}, abstract = {We investigate the impact of link and path restoration on the cost of telecommunication networks. The surprising result is the following: the cost of an optimal network configuration is almost independent of the restoration concept if (i) the installation of network elements (ADMs, DXCs, or routers) and interface cards, (ii) link capacities, and (iii) working and restoration routings are simultaneously optimized. We present a mixed-integer programming model which integrates all these decisions. Using a branch-and-cut algorithm (with column generation to deal with all potential routing paths), we solve structurally different real-world problem instances and show that the cost of optimal solutions is almost independent of the used restoration concept. In addition, we optimize spare capacities for given shortest working paths which are predetermined with respect to different link metrics. In comparison to simultaneous optimization of working and restoration routings, it turns out that this approach does not allow to obtain predictably good results.}, language = {en} } @misc{OrlowskiWessaely, author = {Orlowski, Sebastian and Wess{\"a}ly, Roland}, title = {The Effect of Hop Limits on Optimal Cost in Survivable Network Design}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-7980}, number = {04-23}, abstract = {We investigate the impact of hop-limited routing paths on the total cost of a telecommunication network. For different survivability settings (dedicated protection, link and path restoration), the optimal network cost without restrictions on the admissible path set is compared to the results obtained with two strategies to impose hop limits on routing paths. In a thorough computational study on optimal solutions for nine real-world based problem instances, we show that hop limits should be avoided if the technology allows it and network cost is a major planning issue. In this case, column generation should be employed to deal with all routing paths. If hop-limits are required, these should be defined for each demand individually and as large as possible.}, language = {en} } @misc{OrlowskiPioro, author = {Orlowski, Sebastian and Pi{\´o}ro, Michal}, title = {On the complexity of column generation in survivable network design with path-based survivability mechanisms}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-11058}, number = {08-51}, abstract = {This survey concerns optimization problems arising in the design of survivable communication networks. It turns out that such problems can be modeled in a natural way as non-compact linear programming formulations based on multicommodity flow network models. These non-compact formulations involve an exponential number of path flow variables, and therefore require column generation to be solved to optimality. We consider several path-based survivability mechanisms and present results, both known and new, on the complexity of the corresponding column generation problems (called the pricing problems). We discuss results for the case of the single link (or node) failures scenarios, and extend the considerations to multiple link failures. Further, we classify the design problems corresponding to different survivability mechanisms according to the structure of their pricing problem. Finally, we show that almost all encountered pricing problems are hard to solve for scenarios admitting multiple failures.}, language = {en} } @misc{RaackKosterOrlowskietal., author = {Raack, Christian and Koster, Arie M.C.A. and Orlowski, Sebastian and Wess{\"a}ly, Roland}, title = {Capacitated network design using general flow-cutset inequalities}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9576}, number = {07-14}, abstract = {This paper deals with directed, bidirected, and undirected capacitated network design problems. Using mixed integer rounding (MIR), we generalize flow-cutset inequalities to these three link types and to an arbitrary modular link capacity structure, and propose a generic separation algorithm. In an extensive computational study on 54 instances from the Survivable Network Design Library (SNDlib), we show that the performance of cplex can significantly be enhanced by this class of cutting planes. The computations reveal the particular importance of the subclass of cutset-inequalities.}, language = {en} } @misc{OrlowskiPioroTomaszewskietal., author = {Orlowski, Sebastian and Pioro, Michal and Tomaszewski, Artur and Wess{\"a}ly, Roland}, title = {SNDlib 1.0--Survivable Network Design Library}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9582}, number = {07-15}, abstract = {We provide information on the Survivable Network Design Library (SNDlib), a data library for fixed telecommunication network design that can be accessed at http://sndlib.zib.de. In version 1.0, the library contains data related to 22 networks which, combined with a set of selected planning parameters, leads to 830 network planning problem instances. In this paper, we provide a mathematical model for each planning problem considered in the library and describe the data concepts of the SNDlib. Furthermore, we provide statistical information and details about the origin of the data sets.}, language = {en} } @misc{OrlowskiKosterRaacketal., author = {Orlowski, Sebastian and Koster, Arie M.C.A. and Raack, Christian and Wess{\"a}ly, Roland}, title = {Two-layer Network Design by Branch-and-Cut featuring MIP-based Heuristics}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9412}, number = {06-47}, abstract = {This paper deals with MIP-based primal heuristics to be used within a branch-and-cut approach for solving multi-layer telecommunication network design problems. Based on a mixed-integer programming formulation for two network layers, we present three heuristics for solving important subproblems, two of which solve a sub-MIP. On multi-layer planning instances with many parallel logical links, we show the effectiveness of our heuristics in finding good solutions early in the branch-and-cut search tree.}, language = {en} } @misc{HuelsermannJaegerKosteretal., author = {H{\"u}lsermann, Ralf and J{\"a}ger, Monika and Koster, Arie M.C.A. and Orlowski, Sebastian and Wess{\"a}ly, Roland and Zymolka, Adrian}, title = {Availability and Cost Based Evaluation of Demand-wise Shared Protection}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9080}, number = {06-15}, abstract = {In this paper, we investigate the connection availabilities for the new protection scheme Demand-wise Shared Protection (DSP) and describe an appropriate approach for their computation. The exemplary case study on two realistic network scenarios shows that in most cases the availabilities for DSP are comparable with that for 1+1 path protection and better than in case of shared path protection.}, language = {en} } @misc{GruberKosterOrlowskietal., author = {Gruber, Claus G. and Koster, Arie M.C.A. and Orlowski, Sebastian and Wess{\"a}ly, Roland and Zymolka, Adrian}, title = {A new model and a computational study for Demand-wise Shared Protection}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-8880}, number = {05-55}, abstract = {This report combines the contributions to INOC 2005 (Wess{\"a}lly et al., 2005) and DRCN 2005 (Gruber et al., 2005). A new integer linear programming model for the end-to-end survivability concept deman d-wise shared protection (DSP) is presented. DSP is based on the idea that backup capacity is dedicated to a particular demand, but shared within a demand. It combines advantages of dedicated and shared protection: It is more cost-efficient than dedicated protection and operationally easier than shared protection. In a previous model for DSP, the number of working and backup paths to be configured for a particular demand has been an input parameter; in the more general model for DSP investigated in this paper, this value is part of the decisions to take. To use the new DSP model algorithmically, we suggest a branch-and-cut approach which employs a column generation procedure to deal with the exponential number of routing variables. A computational study to compare the new resilience mechanism DSP with dedicated and shared path protection is performed. The results for five realistic network planning scenarios reveal that the best solutions for DSP are on average 15\\% percent better than the corresponding 1+1 dedicated path protection solutions, and only 15\\% percent worse than shared path protection.}, language = {en} } @misc{KosterOrlowskiRaacketal., author = {Koster, Arie M.C.A. and Orlowski, Sebastian and Raack, Christian and Bayer, Georg and Engel, Thomas}, title = {Single-layer Cuts for Multi-layer Network Design Problems}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-9641}, number = {07-21}, abstract = {We study a planning problem arising in SDH/WDM multi-layer telecommunication network design. The goal is to find a minimum cost installation of link and node hardware of both network layers such that traffic demands can be realized via grooming and a survivable routing. We present a mixed-integer programming formulation that takes many practical side constraints into account, including node hardware, several bitrates, and survivability against single physical node or link failures. This model is solved using a branch-and-cut approach with problem-specific preprocessing and cutting planes based on either of the two layers. On several realistic two-layer planning scenarios, we show that these cutting planes are still useful in the multi-layer context, helping to increase the dual bound and to reduce the optimality gaps.}, language = {en} }