Abstract
This chapter describes recent results addressing resource allocation problems in the context of current and future cellular technologies. We present models that capture several fundamental aspects of planning and operating these networks, and develop new approximation algorithms providing provable good solutions for the corresponding optimization problems. We mainly focus on two families of problems: cell planning and cell selection. Cell planning deals with choosing a network of base stations that can provide the required coverage of the service area with respect to the traffic requirements, available capacities, interference, and the desired QoS. Cell selection is the process of determining the cell(s) that provide service to each mobile station. Optimizing these processes is an important step towards maximizing the utilization of current and future cellular networks.
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Notes
- 1.
We assume that the reader is familiar with the most well-known notions in cellular networks. An excellent introduction can be found in [36]
- 2.
Notice that when planning cellular networks, the notion of “clients” sometimes means mobile stations and sometimes it represents the total traffic demand created by a cluster of mobile stations at a given location. In this chapter we support both forms of representations.
- 3.
For simplicity, we do not consider here interference of higher order. These can be further derived and extended from our model.
- 4.
The class ZPP is equal to the intersection of the computational complexity classes RP and Co-RP
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Amzallag, D., Raz, D. (2010). Resource Allocation Algorithms for the Next Generation Cellular Networks. In: Cormode, G., Thottan, M. (eds) Algorithms for Next Generation Networks. Computer Communications and Networks. Springer, London. https://doi.org/10.1007/978-1-84882-765-3_6
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