Chebyshev Approximate Solution to Allocation Problem in Multiple Objective Surveys with Random Costs
TL;DR: In this paper, the authors considered an allocation problem in multivariate surveys as a convex programming problem with non-linear objective functions and a single stochastic cost constraint, which was converted into an equivalent deterministic one by using chance constrained programming.
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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.
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Citations
Multiobjective Stochastic Multivariate Stratified Sampling in Presence of Nonresponse
TL;DR: The multivariate stratified sampling in the presence of nonresponse with random sampling variances and costs is formulated as a multiobjective stochastic programming problem and converted into a deterministic NLPP by using chance constraint and modified E-model.
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Integer programming formulations applied to optimal allocation in stratified sampling
Gustavo Silva Semaan,Nelson Maculan +1 more
- 01 Jan 2015
TL;DR: In this paper, the authors proposed a new optimization approach based on a binary integer programming formulation for the sample allocation problem in multivariate surveys and several numerical experiments showed that the proposed approach provides efficient solutions to this problem, which improve upon a 'textbook algorithm' and can be more efficient than the algorithm by Bethel (1985, 1989).
A fuzzy goal programming approach in stochastic multivariate stratified sample surveys
TL;DR: Fuzzy goal programming approach is used to achieve maximum degree of each of the membership goals by minimizing negative deviational variables and finally obtain the compromise allocation.
Three - Stage Stochastic Multivariate Stratified Sample Survey
TL;DR: In this article, the problem of a three stage multivariate stratified sample survey has been formulated as a non-linear stochastic programming problem by considering survey cost and the variances as random variables.
References
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Sampling theory of surveys, with applications
P. V. Sukhatme
- 01 Jan 1954
TL;DR: The delphi method as a research tool an example design as mentioned in this paper is used for mold testing is it beneficial or snake oil, mould testing is beneficial, snake oil is snake oil.
620
Multivariate Stratified Surveys
TL;DR: In this paper, the problem of multivariate stratified surveys is formulated as a programming problem and an emprical solution based on practical rather than some over-riding theoretical consideration is given.
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