On fuzzy mathematical modeling in the analysis of distribution of medicines for controlling communicable diseases based on optimization techniques
Authors :
G. Sivakumar 1 , A. Hari Ganesh 2* and M. Suresh 3
Author Address :
1 Department of Mathematics, A.V.V.M. Sri Pushpam College (Autonomous), Poondi–613503, Thanjavur(Dt), Tamil Nadu, India.
(Affiliated to Bharathidasan University, Tiruchirappalli)
2 Department of Mathematics, Poompuhar College (Autonomous), Melaiyur–609107, Nagapattinam(Dt.), Tamil Nadu, India.
3 Department of Mathematics, SRM University, Ramapuram, Chennai–600089, Tamil Nadu, India.
*Corresponding author.
Abstract :
In this paper, we propose the bi--objective fuzzy mathematical model based on optimization technique in order to distribute the available medicines of various diseases to the disease population for minimizing human productivity loss. This paper also aims to minimize the total treatment cost and dosage level of medicines by its effective distribution. The main aim of introducing this model is to minimize the human productivity loss by the effective distribution of various types of available medicines to the disease population in a certain region. Moreover, the paper proposes the ranking index based on distance between new reference point of trapezoid to original point for solving the fuzzy optimization problem arrived from the proposed model by converting the fuzzy problems into crisp one.
Keywords :
Multi Objective linear model, fuzzy linear programming problem, fuzzy number, communicable diseases.
DOI :
Article Info :
Received : July 12, 2019; Accepted : October 22, 2019.
