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Optimal design of facility allocation and maintenance strategy for a cellular network

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  • Wu, Shengna
  • Yang, Jun
  • Peng, Rui
  • Zhai, Qingqing

Abstract

A cellular network is widely used for transmitting text (i.e., alphanumeric) messages between subscribers from different geographical locations. The geographic area of a cellular network is divided into a large number of cells, which are served by at least one facilities from base stations among predetermined positions. Both reliability and cost of a cellular network depend on the number, location and failure rate of facilities in the base stations. Thus, the joint optimization of facility allocation and maintenance strategy in a cellular network is relevant and significant for guiding optimal decisions on cellular network planning. This paper models a cellular network with repairable facilities characterized by a two-parameter Weibull distribution.The objective is to jointly optimize the facility allocation among predetermined positions and the facilities maintenance strategy in order to minimize the expected life cycle cost of the cellular network. An optimization algorithm for the proposed model is given based on heuristic algorithm and simulation. A case study is presented to illustrate the application of the proposed model, and sensitivity analysis shows the relationship between the optimal preventive replacement interval and the ratio of the preventive replacement cost to the minimal repair cost.

Suggested Citation

  • Wu, Shengna & Yang, Jun & Peng, Rui & Zhai, Qingqing, 2021. "Optimal design of facility allocation and maintenance strategy for a cellular network," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:reensy:v:205:y:2021:i:c:s0951832020307535
    DOI: 10.1016/j.ress.2020.107253
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    1. Erdemir, Elif Tokar & Batta, Rajan & Spielman, Seth & Rogerson, Peter A. & Blatt, Alan & Flanigan, Marie, 2008. "Location coverage models with demand originating from nodes and paths: Application to cellular network design," European Journal of Operational Research, Elsevier, vol. 190(3), pages 610-632, November.
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Connectivity evaluation and optimal service centers allocation in repairable linear consecutively connected systems," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 187-193.
    3. Ye, Zhi-Sheng & Shen, Yan & Xie, Min, 2012. "Degradation-based burn-in with preventive maintenance," European Journal of Operational Research, Elsevier, vol. 221(2), pages 360-367.
    4. Xiang, Shihu & Yang, Jun, 2018. "Performance reliability evaluation for mobile ad hoc networks," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 32-39.
    5. Yang, Li & Ye, Zhi-sheng & Lee, Chi-Guhn & Yang, Su-fen & Peng, Rui, 2019. "A two-phase preventive maintenance policy considering imperfect repair and postponed replacement," European Journal of Operational Research, Elsevier, vol. 274(3), pages 966-977.
    6. Yang, Li & Zhao, Yu & Peng, Rui & Ma, Xiaobing, 2018. "Hybrid preventive maintenance of competing failures under random environment," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 130-140.
    7. Zhao, Xufeng & Qian, Cunhua & Nakagawa, Toshio, 2017. "Comparisons of replacement policies with periodic times and repair numbers," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 161-170.
    8. Peng, Rui & Liu, Bin & Zhai, Qingqing & Wang, Wenbin, 2019. "Optimal maintenance strategy for systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 624-632.
    9. Richard Church & Charles R. Velle, 1974. "The Maximal Covering Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 32(1), pages 101-118, January.
    10. Xing, Liudong & Levitin, Gregory, 2018. "Connectivity modeling and optimization of linear consecutively connected systems with repairable connecting elements," European Journal of Operational Research, Elsevier, vol. 264(2), pages 732-741.
    11. Akella, Mohan R. & Batta, Rajan & Delmelle, Eric M. & Rogerson, Peter A. & Blatt, Alan & Wilson, Glenn, 2005. "Base station location and channel allocation in a cellular network with emergency coverage requirements," European Journal of Operational Research, Elsevier, vol. 164(2), pages 301-323, July.
    12. Hui Xiao & Rui Peng & Gregory Levitin, 2016. "Optimal replacement and allocation of multi‐state elements in k‐within‐m‐from‐r/n sliding window systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(2), pages 184-198, March.
    13. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2017. "Optimal loading of series parallel systems with arbitrary element time-to-failure and time-to-repair distributions," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 34-44.
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    2. Jones, Dylan & Firouzy, Sina & Labib, Ashraf & Argyriou, Athanasios V., 2022. "Multiple criteria model for allocating new medical robotic devices to treatment centres," European Journal of Operational Research, Elsevier, vol. 297(2), pages 652-664.
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    5. Wang, Ning & Xiao, Yiyong & Tian, Tianzi & Yang, Jun, 2023. "The optimal 5G base station location of the wireless sensor network considering timely reliability," Reliability Engineering and System Safety, Elsevier, vol. 236(C).

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