A Temporo-Spatial Stochastic Model for Optimal Positioning of Humanitarian Inventories for Disaster Relief Management

Authors

V. S. S. Yadavalli, Department of Industrial and System Engineering, University of Pretoria, Pretoria 0002, South AfricaFollow
E. van Wyk, Department of Industrial and System Engineering, University of Pretoria, Pretoria 0002, South AfricaFollow
S. Udayabaskaran, Department of Mathematics, Vel Tech Dr RR & Dr SR Technical University, Chennai 600 062, IndiaFollow

Author Country (or Countries)

South Africa

Abstract

A temporo-spatial stochastic model is formulated for analysing the problem of positioning of humanitarian relief centres for optimum disaster-relief management. Disasters occur in a line segment region of the real line according to a Poisson process. Two relief centres are positioned at two different points of the line segment for providing humanitarian relief to the disaster sites. The stationary mean rate of relief rendered by the two inventories is obtained. By optimizing the mean rate, the optimum positions of the two relief centres are obtained.

Recommended Citation

S. S. Yadavalli, V.; van Wyk, E.; and Udayabaskaran, S. (2015) "A Temporo-Spatial Stochastic Model for Optimal Positioning of Humanitarian Inventories for Disaster Relief Management," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 13.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/13