A Note on Optimum Allocation with Non-Linear Cost Function

Abstract

Listen

Translate article

In this paper we consider the optimum allocation for multivariate sampling with non-linear cost function –travel cost. The problem of determining the optimum allocations are formulated as Nonlinear Programming Problems , in which each NLPP has a convex objective function and a non-linear cost constraint. The NLLP’s are then solved using Lagrange Multiplier technique and the explicit formula for variance is obtained.