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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Telecommunication systems 7 (1997), S. 17-28 
    ISSN: 1572-9451
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract The paper discusses a stochastic approach, called Simulated Allocation (SA), to the capacitated and uncapacitated multicommodity integral flow allocation problems. Since such problems are in general NP‐complete, effective heuristic approaches are of interest, and SA is one of them. The idea of SA has its origin in discrete event simulation of alternative call routing in telecommunication networks. We describe an implementation of SA and illustrate its effectiveness by means of numerical examples including multiple knapsack problem and network design. Numerical experiments indicate that SA is capable of bypassing local minima of the problem objective function, and allows for achieving reasonable solutions in a reasonable time.
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2020-12-15
    Description: 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.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
    Format: application/postscript
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  • 3
    Publication Date: 2020-08-05
    Description: 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.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
    Format: application/postscript
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