270 226
Full Length Article
American Journal of Business and Operations Research
Volume 6 , Issue 1, PP: 56-71 , 2022 | Cite this article as | XML | Html |PDF

Title

Expected Value of Asymmetric Coordinated Search Technique for Detecting a Randomly Located Target on the Plane

Authors Names :   Sundus Naji AL-Aziz   1 *  

1  Affiliation :  Department of Mathematics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, KSA

    Email :  snalaziz@pnu.edu.sa



Doi   :   https://doi.org/10.54216/AJBOR.060105

Received: November 19, 2021 Accepted: January 11, 2022

Abstract :

This paper proposes Asymmetric coordination strategy, we study coordinated search technique for a lost located object on the plan, where there are two searchers beginning their search from the same initial point (0, 0), but both sides do not have the same area. Here we introduce a model of search plan and investigate the expected value of detecting the lost target in both sides to avoid wasting time. We present an algorithm to facilitate the search technique. An illustrative application from real life has been introduced to demonstrate the applicability of this search technique. The effectiveness of this model has been illustrated by numerical results

Keywords :

Expected value; coordinated search; minimizing the expected time; AST , probability theory 2-dimentional algorithm; lost submarine

References :

[1] M. E. and A. H. EL-Bagoury, “Optimal search strategy for a three dimensional randomly located

target, ” International Journal of Operational Research, vol. 29, no. 1, pp. 115–126, 2017.

[2] E. M., Teamah, A. A.H. El-Bagoury, “3-Dimensional coordinated search technique for a randomly

located target,” Int. J. Comput. Sci. Math, vol. 9, no.3, pp.258–272, 2018.

[3] T. Caraballo, A. A. Teamah and A. H. EL-Bagoury  “Minimizing the expected time to detect a randomly located lost target using 3-dimensional search technique, ” Communications in Statistics - Theory and Methods, vol. 49, no. 13, pp.3313-3328, 2020

[4 ] M. A. Kassem, A. H. EL-Bagoury, W. A. Afifi and  S. N. AL-Aziz, “On minimum expected search time algorithm for 3-dimensional randomly located target,” Journal of Statistics Applications & Probability, vol. 10, no. 1, 2021.

[5]  W. A. Afifi and  A. H. EL-Bagoury, “Optimal multiplicative generalized linear search plan for a discrete randomly located target,” Information Sciences Letters, vol. 10, no. 1,pp. 153-158, 2021

[6] A.Mohamed, H.Fergany and M.El-Hadidy “On the coordinated search problem on the plane,” J. Sch. Bus. Adm. IstanbulUniv, vol. 41, no. 1, pp. 80-102, 2012.

[7] A. A. M. Teamah, W. A. Afifi, J. Gani Dar, A. H. EL-Bagoury and S. N. AL-Aziz, “Optimal discrete search for a randomly moving covid19,” Journal of Statistics Applications & Probability, vol. 9, no. 3, pp. 473-481, 2020.

[8] Thomas L., Finding your kids when they are lost, Journal of Operational Research Society, 43, 637-639, 1992.

[9] S. N. Al-Aziz, A. A. H. El-Bagoury and W. Afifi, "A coordinated search algorithm for a lost target on the plane," Computer Systems Science and Engineering, vol. 40, no.1, pp. 127–137, 2022.

 


Cite this Article as :
Sundus Naji AL-Aziz, Expected Value of Asymmetric Coordinated Search Technique for Detecting a Randomly Located Target on the Plane, American Journal of Business and Operations Research, Vol. 6 , No. 1 , (2022) : 56-71 (Doi   :  https://doi.org/10.54216/AJBOR.060105)