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Article

On Reducing the Collision Time Between a Nanosensor and a Randomly Moving Particle in the Fluid

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References

  • Alamri, F., and M. El-Hadidy. 2024. Optimal linear tracking for a hidden target on one of K-intervals. J. Eng. Math. 144 (1):8. doi:10.1007/s10665-023-10315-1
  • Alhashmi, Z., M. Blunt, and B. Bijeljic. 2019. Predictions of dynamic changes in reaction rates as a consequence of incomplete mixing using pore scale reactive transport modeling on images of porous media. J. Contam. Hydrol. 179:171–81. doi:10.1016/j.jconhyd.2015.06.004
  • Alzulaibani, A., and M. El-Hadidy. 2023. Reduction in the searching time to find a Brownian nanoparticle in the fluid. New Math. and Nat. Computation :1–16. doi:10.1142/S1793005725500048.
  • Balkhi. Z. 1987. The generalized linear search problem, existence of optimal search search paths. Jorsj. 30 (4):399–421. doi:10.15807/jorsj.30.399
  • Beck, A., and M. Beck. 1992. The revenge of the linear search problem. SIAM J. Control Optim. 30 (1):112–22. doi:10.1137/0330008
  • Beck, A., and D. Newman. 1970. Yet more on the linear search problem. Israel J. Math. 8 (4):419–29. doi:10.1007/BF02798690
  • Beck, A., and P. Warren. 1972. The return of the linear search problem. Israel J. Math. 14 (2):169–83. doi:10.1007/BF02762672
  • Bellman, R. 1963. An optimal search (Problem 63-9). SIAM Rev. 5 (3):274–274. doi:10.1137/1005070
  • Blum, A., S. Chawla, D. Karger, T. Lane, A. Meyerson, and M. Minkoff. 2003. Approximation algorithms for orienteering and discounted-reward TSP. In Proceeding of the 44th Annual IEEE Symposium on Foundations of Computer Science, 46–55. New York: IEEE.
  • El-Hadidy, M., H. Abou-Gabal, and A. Gabr. 2021. Optimal multi zones search technique to detect a lost target by using K sensors. Stat. Optim. Inf. Comput. 9 (4):871–885. doi:10.19139/soic-2310-5070-1136
  • El-Hadidy, M., and H. Abou-Gabal. 2018. Coordinated search for a Random Walk Target Motion. Fluct. Noise Lett. 17 (01):1850002. doi:10.1142/S0219477518500025
  • El-Hadidy, M., and H. Abou-Gabal. 2022. On the linear cooperative search technique for a lost target with multiple searchers. IJMOR. 21 (2):221–231. doi:10.1504/IJMOR.2022.121112
  • El-Hadidy, M., and A. Alfreedi. 2021. Detection of an appropriate pharmaceutical company to get a suitable vaccine against COVID-19 with minimum cost under the quality control process. Qual. Reliab. Eng. Int. 37 (6):2646–2664. doi:10.1002/qre.2881
  • El-Hadidy, M., and A. Alzulaibani. 2019a. A mathematical model for preventing HIV virus from proliferating inside CD4 T brownian cell using Gaussian jump nanorobot. Int. J. Biomath. 12 (07):1950076. doi:10.1142/S1793524519500761
  • El-Hadidy, M., and A. Alzulaibani. 2019b. Cooperative search model for finding a Brownian target on the real line. Journal of Taibah University for Science 13 (1):177–83. doi:10.1080/16583655.2018.1552493
  • El-Hadidy, M., and A. Alzulaibani. 2019c. Existence of a finite multiplicative search plan with random distances and velocities to find a d-dimensional Brownian target. Journal of Taibah University for Science 13 (1):1035–1043. doi:10.1080/16583655.2019.1680032
  • El-Hadidy, M., and A. Alzulaibani. 2019d. Study on the finiteness of the first meeting time between N-dimensional Gaussian jump and Brownian diffusion particles in the fluid. International Journal of Modern Physics B 33 (28):1950334.
  • El-Hadidy, M., and A. Alzulaibani. 2021. Existence of a linear flows particle tracking model with a stochastic waiting time depending on the Gaussian jump length. Mod. Phys. Lett. B. 35 (26):2150426. doi:10.1142/S0217984921504261
  • El-Hadidy, M., and A. Alzulaibani. 2024. A study on the finiteness of a tracking method with reduction in the collision time between a D-dimensional Random Walk Particle and one of multiple nano-sensors. Journal of Computational and Theoretical Transport 52 (7):506–534. doi:10.1080/23324309.2024.2303506
  • El-Hadidy, M., and M. El-Fakharany. 2021. Optimal 3-dimensional search model to find the underwater randomly hidden target. IJMOR. 18 (2):210–235. doi:10.1504/IJMOR.2021.112929
  • El-Hadidy, M., and A. Elshenawy. 2023. A probabilistic early fault detection model for a feedback machining system with multiple types of spares. Sci. Rep. 13 (1):22609. doi:10.1038/s41598-023-49073-6
  • El-Hadidy, M., and M. Fakharany. 2024. On probabilistic cooperative search model to detect a lost target in N-disjoint areas. Stat. Optim. Inf. Comput. 12 (2):488–497. doi:10.19139/soic-2310-5070-1876
  • El-Hadidy, M. 2016a. Fuzzy optimal search plan for N-dimensional randomly moving target. Int. J. Comput. Methods 13 (06):1650038. pages). doi:10.1142/S0219876216500389
  • El-Hadidy, M. 2016b. On maximum discounted effort reward search problem. Asia. Pac. J. Oper. Res. 33 (03):1650019. doi:10.1142/S0217595916500196
  • El-Hadidy, M. 2016c. Searching for a d-dimensional Brownian target with multiple sensors. IJMOR 9 (3):279–301. doi:10.1504/IJMOR.2016.078822
  • El-Hadidy, M. 2018a. Existence of finite parbolic spiral search plan for a Brownian target. IJOR. 31 (3):368–83. doi:10.1504/IJOR.2018.089737
  • El-Hadidy, M. 2018b. Study on the three players linear rendezvous search problem. IJOR. 33 (3):297–314. doi:10.1504/IJOR.2018.095623
  • El-Hadidy, M. 2019a. Generalized linear search plan for a D-dimensional random walk target. IJMOR. 15 (2):211–241. doi:10.1504/IJMOR.2019.101622
  • El-Hadidy, M. 2019b. Study of water pollution through a levy flight jump diffusion model with stochastic jumps of pollutants. Int. J. Mod. Phys. B. 33 (19):1950210. doi:10.1142/S0217979219502102
  • El-Hadidy, M. 2019c. Studying the finiteness of the first meeting time between Lévy flight jump and Brownian particles in the fluid reactive anomalous transport. Mod. Phys. Lett. B. 33 (22):1950256. doi:10.1142/S0217984919502567
  • El-Hadidy, M. A. 2020a. Existence of cooperative search technique to find a Brownian target. J. Egypt. Math. Soc. 28 (1):1–12. doi:10.1186/s42787-019-0054-5.
  • El-Hadidy, M. 2020b. Quality control for a detected an appropriate queue from K-independent M/M/C/N queueing models. Quality & Reliability Eng. 37 (1):165–175. doi:10.1002/qre.2728.
  • El-Hadidy, M. 2020c. The searching algorithm for detecting a Markovian target based on maximizing the discounted effort reward search. Journal of the Egyptian Mathematical Society 28 (37):1–18. doi:10.1186/s42787-020-00097-1.
  • El-Hadidy. M. 2021a. Developing a detection model for a COVID-19 infected person based on a probabilistic dynamical system. Math. Methods Appl. Sci. 44 (13):10762–10771. doi:10.1002/mma.7443
  • El-Hadidy, M. 2021b. Existence of optimal N-slinky-turn-spiral search paths for finding N-dimensional Brownian target. IJMOR. 19 (2):180–203. doi:10.1504/IJMOR.2021.116313
  • El-Hadidy, M. 2021c. Spiral with line segment directory for a helix search path to find a randomly located target in the space. Ijor. 40 (2):185–199. doi:10.1504/IJOR.2021.113502
  • El-Hadidy, M. 2023a. Detection of the diffusion nanoparticle in the turbulent flows using the random walk model. IJOR. 46 (2):251–70. doi:10.1504/IJOR.2023.129155
  • El-Hadidy, M. 2023b. Optimal searching path to find a hidden target in a bounded region. Afr. Mat. 34 (4):64. doi:10.1007/s13370-023-01104-1
  • El-Hadidy, M. 2024a. Cooperative search model to detect a lost target based on its probabilistic distribution in a bounded zone. Int. J. Model. Simul. doi:10.1080/02286203.2024.2316567
  • El-Hadidy, M. 2024b. Discrete search stability for a hidden target on m-intervals with a known probabilistic distributed effort. Discrete Math. Algorithm. Appl. doi:10.1142/S1793830924500198.
  • El-Hadidy, M., and A. Alfreedi. 2019. On optimal coordinated search technique to find a randomly located target. Stat, Optim. Inf. Comput. 7 (4):854–63. doi:10.19139/soic-2310-5070-724
  • El-Hadidy, M., and A. Alfreedi. 2020. Minimizing the expected search time of finding the hidden object by maximizing the discount effort reward search. Journal of Taibah University for Science 14 (1):479–87. doi:10.1080/16583655.2020.1747217
  • El-Hadidy, M. A. A., and A. A. Alzulaibani. 2024. A study on the existence of a cooperative search method with reducing the first metting time between one of several nano-sensors and a Brownian particle. Afr. Mat. 35:32. doi:10.1007/s13370-024-01173-w.
  • El-Hadidy, M., A. Teamah, and A. El-Bagoury. 2018. 3-Dimensional coordinated search technique for a randomly located target. IJCSM. 9 (3):258–72. doi:10.1504/IJCSM.2018.093152
  • Guerriero, C. 2020. Cost-benefit analysis of environmental health interventions. London: ACADEMIC PRESS.
  • Kassem, El-Hadidy. M. 2014. Optimal multiplicative Bayesian search for a lost target. Appl. Math. Compu 247:795–802.
  • Lanillos, P., E. Besada-Portas, G. Pajares, and J. Ruz. 2012. Minimum time search for lost targets using cross entropy optimization. In IEEE/RSJ International Conference on Intelligent Robots and Systems, Vilamoura, Algarve, Portugal, 602–609.
  • Mohamed, A., H. Abou-Gabal, and M. El-Hadidy. 2009. Coordinated search for a randomly located target on the plane. Eur. J. Pure Appl. Math 2 (1):97–111.
  • Mohamed, A., and M. El-Hadidy. 2021. On probabilistic modeling and feasibility of collision between a randomly moving meteor and satellite. Afr. Mat. 32 (1-2):1–15. doi:10.1007/s13370-018-0591-3.
  • Mohamed, A., H. Fergany, and M. El-Hadidy. 2012. On the coordinated search problem on the plane. Istan Univ. J. Sch. Busin. Admin. 41 (1):80–102.
  • Schuierer. S. 2001. Lower bounds in on-line geometric searching. Comput. Geometry 18 (1):37–53. doi:10.1016/S0925-7721(00)00030-4
  • Sokolov, I., J. Klafter, and A. Blumen. 2002. Fractional kinetics. Phys. Today 55 (11):48–54. doi:10.1063/1.1535007
  • Zhang, H., and G. Li. 2016. Anomalous transport in fluid field with random waiting time depending on the preceding jump length. Chinese Phys. B. 25 (11):110504. doi:10.1088/1674-1056/25/11/110504
  • Zhang, H., and G. Li. 2019. Fluid reactive anomalous transport with random waiting time depending on the preceding jump length. J. Stat. Phys. 174 (3):548–61. doi:10.1007/s10955-018-2185-8.

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