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

• 作者: Irfan Ali Mohammed Faisal khan Qazi Shoeb Ahmad
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: CHANCE Constrained Programming MULTIVARIATE STRATIFIED Sampling Optimum ALLOCATION CHEBYSHEV Approximation
• 年，卷（期）: 2011,（4）
• 页码范围: 247-251
• 页数: 5页
• 分类号: O1

摘要

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.