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A global optimization framework for distributed antenna location in CDMA cellular networks

Author

Listed:
  • Jitamitra Desai

    (Nanyang Technological University)

  • Shalinee Kishore

    (Lehigh University)

Abstract

In this paper, we present a set of (exact and approximate) mathematical models and algorithms for determining the set of (globally) optimal distributed antenna deployments and the supported user demand in cellular code division multiple access (CDMA) systems. We focus on the uplink (user-to-base station) formulation and assume that the base station combines all the received signals at each of the antennas using path-gain based weights. In CDMA systems, as all users occupy the system bandwidth at the same time thereby interfering with each other, this results in a complicated 0–1 mixed-integer multilinear programming problem, where the objective function maximizes the total system capacity, while ensuring that the minimum signal-to-interference-plus-noise ratio (SINR) constraints and maximum transmit power constraints for each user are satisfied. This highly nonlinear, nonconvex problem is reformulated to yield a tight mixed-integer 0–1 linear programming representation via the addition of several auxiliary variables and constraints, and a specialized algorithm is designed to determine globally optimal solutions. The computational results obtained, corresponding to different user distributions, demonstrate the efficacy of the proposed models and algorithms, and clearly exhibit the viability of both exact and approximate models.

Suggested Citation

  • Jitamitra Desai & Shalinee Kishore, 2017. "A global optimization framework for distributed antenna location in CDMA cellular networks," Annals of Operations Research, Springer, vol. 253(1), pages 169-191, June.
  • Handle: RePEc:spr:annopr:v:253:y:2017:i:1:d:10.1007_s10479-016-2306-1
    DOI: 10.1007/s10479-016-2306-1
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    References listed on IDEAS

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    1. Rudolf Mathar & Michael Schmeink, 2001. "Optimal Base Station Positioning and Channel Assignment for 3G Mobile Networks by Integer Programming," Annals of Operations Research, Springer, vol. 107(1), pages 225-236, October.
    2. Manuel Laguna, 1998. "Applying Robust Optimization to Capacity Expansion of One Location in Telecommunications with Demand Uncertainty," Management Science, INFORMS, vol. 44(11-Part-2), pages 101-110, November.
    3. Hanif Sherali & Evrim Dalkiran & Jitamitra Desai, 2012. "Enhancing RLT-based relaxations for polynomial programming problems via a new class of v-semidefinite cuts," Computational Optimization and Applications, Springer, vol. 52(2), pages 483-506, June.
    4. Andreas Eisenblätter & Jonas Schweiger, 2012. "Multistage stochastic programming in strategic telecommunication network planning," Computational Management Science, Springer, vol. 9(3), pages 303-321, August.
    5. Olinick, Eli V. & Rosenberger, Jay M., 2008. "Optimizing revenue in CDMA networks under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 186(2), pages 812-825, April.
    6. Joakim Kalvenes & Jeffery Kennington & Eli Olinick, 2006. "Base Station Location and Service Assignments in W--CDMA Networks," INFORMS Journal on Computing, INFORMS, vol. 18(3), pages 366-376, August.
    7. Morten Riis & Jørn Lodahl, 2002. "A bicriteria stochastic programming model for capacity expansion in telecommunications," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(1), pages 83-100, August.
    8. Hanif D. Sherali & Jitamitra Desai, 2005. "On Solving Polynomial, Factorable, and Black-Box Optimization Problems Using the RLT Methodology," Springer Books, in: Charles Audet & Pierre Hansen & Gilles Savard (ed.), Essays and Surveys in Global Optimization, chapter 0, pages 131-163, Springer.
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