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J. R. Chromy, “Design Optimization with Multiple Ob- jectives,” Proceeding of the Survey Research Section, American Statistical Association, 1987, pp. 194-199.

has been cited by the following article:

• TITLE: Chebyshev Approximate Solution to Allocation Problem in Multiple Objective Surveys with Random Costs

  AUTHORS: Mohammed Faisal khan, Irfan Ali, Qazi Shoeb Ahmad

  KEYWORDS: Chance Constrained Programming, Multivariate Stratified Sampling, Optimum Allocation, Chebyshev Approximation

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.1 No.4, December 9, 2011

  ABSTRACT: In this paper, we consider an allocation problem in multivariate surveys as a convex programming problem with non-linear objective functions and a single stochastic cost constraint. The stochastic constraint is converted into an equivalent deterministic one by using chance constrained programming. The resulting multi-objective convex programming problem is then solved by Chebyshev approximation technique. A numerical example is presented to illustrate the computational procedure.