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On the Coordinated Search Problem on the Plane

Year 2012, Volume: 41 Issue: 1, 0 - , 22.10.2012

Abstract

Two unit- speed searchers at (0,0) seek a randomly located target on the plane accoirding to a known unsymmetric continous distribution. The objective is to minimize the expected time for the searchers to return to (0,0) after one of them has found the target. We find a necessary conditions which make the search strategy be optimal when the target has a bivariate Balakrishnan skew--normal distribution. The search strategy is derived using a dynamic programming algorithm. An example is given to show the applications of this technique. The problem has applications to parallel processing and to the optimal choice of drilling depths in the search for an underground mineral.

Year 2012, Volume: 41 Issue: 1, 0 - , 22.10.2012

Abstract

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Details

Primary Language Turkish
Journal Section Makaleler
Authors

Mohamed AbdAllah El-hadidy This is me

Abd El-Moneim Anwar Mohamed This is me

Hala Ali Fergany This is me

Publication Date October 22, 2012
Published in Issue Year 2012 Volume: 41 Issue: 1

Cite

APA El-hadidy, M. A., Mohamed, A. E.-M. A., & Fergany, H. A. (2012). On the Coordinated Search Problem on the Plane. İstanbul Üniversitesi İşletme Fakültesi Dergisi, 41(1).
AMA El-hadidy MA, Mohamed AEMA, Fergany HA. On the Coordinated Search Problem on the Plane. İstanbul Üniversitesi İşletme Fakültesi Dergisi. October 2012;41(1).
Chicago El-hadidy, Mohamed AbdAllah, Abd El-Moneim Anwar Mohamed, and Hala Ali Fergany. “On the Coordinated Search Problem on the Plane”. İstanbul Üniversitesi İşletme Fakültesi Dergisi 41, no. 1 (October 2012).
EndNote El-hadidy MA, Mohamed AE-MA, Fergany HA (October 1, 2012) On the Coordinated Search Problem on the Plane. İstanbul Üniversitesi İşletme Fakültesi Dergisi 41 1
IEEE M. A. El-hadidy, A. E.-M. A. Mohamed, and H. A. Fergany, “On the Coordinated Search Problem on the Plane”, İstanbul Üniversitesi İşletme Fakültesi Dergisi, vol. 41, no. 1, 2012.
ISNAD El-hadidy, Mohamed AbdAllah et al. “On the Coordinated Search Problem on the Plane”. İstanbul Üniversitesi İşletme Fakültesi Dergisi 41/1 (October 2012).
JAMA El-hadidy MA, Mohamed AE-MA, Fergany HA. On the Coordinated Search Problem on the Plane. İstanbul Üniversitesi İşletme Fakültesi Dergisi. 2012;41.
MLA El-hadidy, Mohamed AbdAllah et al. “On the Coordinated Search Problem on the Plane”. İstanbul Üniversitesi İşletme Fakültesi Dergisi, vol. 41, no. 1, 2012.
Vancouver El-hadidy MA, Mohamed AE-MA, Fergany HA. On the Coordinated Search Problem on the Plane. İstanbul Üniversitesi İşletme Fakültesi Dergisi. 2012;41(1).