TY - GEN
T1 - On an optimal algorithm for channel assignment in cellular networks
AU - Sen, Arunabha
AU - Roxborough, Tom
AU - Sinha, Bhabani P.
N1 - Publisher Copyright:
© 1999 IEEE.
PY - 1999
Y1 - 1999
N2 - A cellular network is often modelled as a graph and the channel assignment problem is formulated as a coloring problem of the graph. Sen et al. (1998) introduced the notion of cellular graphs that models the hexagonal cell structure of a cellular network. Assuming a k-band buffering system where the interference does not extend beyond k cells away from the call originating cell, we provided two different formulations of the channel assignment problem: Distance-k chromatic number problem and k-band chromatic bandwidth problem. The channel assignment algorithms presented in Sen et al. were non-optimal. In this paper we provide: (i) a new algorithm for the distance-k chromatic number problem that is optimal and (ii) a near optimal algorithm for the 2-band chromatic bandwidth problem that has a performance bound of 4/3. The complexity of the algorithms is O(p), where p is the number of cells.
AB - A cellular network is often modelled as a graph and the channel assignment problem is formulated as a coloring problem of the graph. Sen et al. (1998) introduced the notion of cellular graphs that models the hexagonal cell structure of a cellular network. Assuming a k-band buffering system where the interference does not extend beyond k cells away from the call originating cell, we provided two different formulations of the channel assignment problem: Distance-k chromatic number problem and k-band chromatic bandwidth problem. The channel assignment algorithms presented in Sen et al. were non-optimal. In this paper we provide: (i) a new algorithm for the distance-k chromatic number problem that is optimal and (ii) a near optimal algorithm for the 2-band chromatic bandwidth problem that has a performance bound of 4/3. The complexity of the algorithms is O(p), where p is the number of cells.
UR - http://www.scopus.com/inward/record.url?scp=84977862247&partnerID=8YFLogxK
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U2 - 10.1109/ICC.1999.765476
DO - 10.1109/ICC.1999.765476
M3 - Conference contribution
AN - SCOPUS:84977862247
T3 - IEEE International Conference on Communications
SP - 1147
EP - 1151
BT - IEEE International Conference on Communications
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1999 IEEE International Conference on Communications, ICC 1999
Y2 - 6 June 1999 through 10 June 1999
ER -