TITLE:
Fuzzy Geometric Programming in Multivariate Stratified Sample Surveys in Presence of Non-Response with Quadratic Cost Function
AUTHORS:
Shafiullah , Mohammad Faisal Khan, Irfan Ali
KEYWORDS:
Geometric Programming, Fuzzy Programming, Non-Response with Travel Cost, Optimum Allocations, Multivariate Stratified Sample Surveys
JOURNAL NAME:
American Journal of Operations Research,
Vol.4 No.3,
May
21,
2014
ABSTRACT:
In this paper, the
problem of non-response with significant travel costs in multivariate
stratified sample surveys has been formulated of as a Multi-Objective Geometric
Programming Problem (MOGPP). The fuzzy programming approach has been described
for solving the formulated MOGPP. The formulated MOGPP has been solved with the
help of LINGO Software and the dual solution is obtained. The optimum
allocations of sample sizes of respondents and non respondents are obtained
with the help of dual solutions and primal-dual relationship theorem. A
numerical example is given to illustrate the procedure.