Author(s)

Sana Iftekhar, Qazi Mazhar Ali, Mohammad Jameel Ahsan

Department of Statistics & Operations Research, Aligarh Muslim University, Aligarh, India.

This paper is an attempt to work out a compromise allocation to construct combined ratio estimates under multivariate double sampling design in presence of non-response when the population mean of the auxiliary variable is unknown. The problem has been formulated as a multi-objective integer non-linear programming problem. Two solution procedures are developed using goal programming and fuzzy programming techniques. A numerical example is also worked out to illustrate the computational details. A comparison of the two methods is also carried out.

Multivariate Stratified Sampling, Compromise Allocation, Non-Response, Double Sampling Goal Programming, Fuzzy Programming

Iftekhar, S. , Ali, Q. and Ahsan, M. (2014) Compromise Allocation for Combined Ratio Estimates of Population Means of a Multivariate Stratified Population Using Double Sampling in Presence of Non-Response. Open Journal of Optimization, 3, 68-78. doi: 10.4236/ojop.2014.34007.