Title: Study on optimal mathematical model to eradicate Ebola

Authors: Shujuan Yuan; Yi Zhang; Yalou Liu; Xiuli Han

Addresses: College of Science, North China University of Science and Technology, TangShan 063009, China ' College of Science, North China University of Science and Technology, TangShan 063009, China ' College of Science, North China University of Science and Technology, TangShan 063009, China ' College of Mining Engineering, North China University of Science and Technology, TangShan 063009, China

Abstract: Having been raging the West African land for almost one year, Ebola virus causes a global panic because of its terrible high-speed infection and high mortality rate. To meet the drug supply chain and transport chain requirements, three models are established to help reduce the increasing number of patients. First, we constructed the fitting model of the number of patients according to the principle of least squares. Second, based on the theory of joint managed inventory, the optimal route in the supply chain and optimal cost model are constructed. Then, according to the characteristics of the inflection of Ebola virus, dynamic model is established. In drug flow system, by applying the supply chain model to constrain the drug in different ways, the optimal allocation plan is achieved. In inter city transportation, by using the ant colony algorithm, the optimal path can be found in the same region.

Keywords: supply chain management; SCM; Ebola infection; ant colony optimisation; ACO; joint managed inventory; JMI; mathematical modelling; Ebola eradication; drug supply chains; logistics; least squares; cost modelling; Ebola virus; dynamic modelling; drug flow systems; intercity transport; resource allocation.

DOI: 10.1504/IJAMC.2016.080975

International Journal of Advanced Media and Communication, 2016 Vol.6 No.2/3/4, pp.132 - 142

Received: 31 Dec 2015
Accepted: 18 May 2016

Published online: 10 Dec 2016 *

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