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has been cited by the following article:

• TITLE: Compromise Allocation for Combined Ratio Estimates of Population Means of a Multivariate Stratified Population Using Double Sampling in Presence of Non-Response

  AUTHORS: Sana Iftekhar, Qazi Mazhar Ali, Mohammad Jameel Ahsan

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

  JOURNAL NAME: Open Journal of Optimization, Vol.3 No.4, December 18, 2014

  ABSTRACT: 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.