GUB Covers and Power-Indexed Formulations for Wireless Network Design
AbstractWireless networks have shown a rapid growth over the past two decades and now play a key role in new generation telecommunications networks. The physical medium of wireless networks is the radio spectrum, a scarce resource which is becoming extremely congested and needs to be allocated in more effective ways. Since the early 1980s several optimization models have been developed to design wireless networks. In this paper we propose a pure 0-1 formulation which is able to model a very general situation in which both emission powers and operating frequencies can be optimized. In contrast with the classical mixed integer formulation, where powers are represented by continuous variables, we consider only a finite set of transmitting powers. The ensuing model has two major advantages: it better fits the usual practice and minimizes the numerical problems produced by the interaction of continuous and 0-1 decision variables. A crucial ingredient of our approach is an effective basic formulation for the single knapsack problem representing the coverage condition of a receiver. This formulation is based on the well-known lifted GUB cover inequalities introduced by Wolsey and its core is a slight extension of the exact formulation proposed by Wolsey for the GUB knapsack polytope with two GUB constraints. In the specific framework of our real-life problem the two GUB constraints case corresponds to the very common situation in which only one major interferer is present. The effectiveness of such formulation is assessed by comprehensive computational results.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Department of Computer, Control and Management Engineering, Universita' degli Studi di Roma "La Sapienza" in its series DIS Technical Reports with number 2010-14.
Date of creation: 2010
Date of revision:
Wireless Network Design; 0-1 Linear Programming; GUB Cover Inequalities;
You can help add them by filling out this form.
reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Antonietta Angelica Zucconi).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.