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J. Beardwood, J. H. Halton and J. M. Hammersley, “The Shortest Path through Many Points,” Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 55, No. 4, 1959, pp. 299-327. doi:10.1017/S0305004100034095

has been cited by the following article:

• TITLE: Allocation in Multivariate Stratified Surveys with Non-Linear Random Cost Function

  AUTHORS: Mohammed Faisal Khan, Irfan Ali, Yashpal Singh Raghav, Abdul Bari

  KEYWORDS: Stratified Survey; Optimum Allocation; Compromise Allocation; Stochastic Programming; Chance Constraints; Modified E-Model

  JOURNAL NAME: American Journal of Operations Research, Vol.2 No.1, March 14, 2012

  ABSTRACT: In this paper, we consider an allocation problem in multivariate surveys with non-linear costs of enumeration as a problem of non-linear stochastic programming with multiple objective functions. The solution is obtained through Chance Constrained programming. A different formulation of the problem is also presented in which the non-linear cost function is minimised under the precision constraints on estimates of various characters. The solution is then obtained by using Modified E-model. A numerical example is solved for both the formulations.