Abstract: The focus of this paper is to develop a technique
of solving a combined problem of determining Optimum Strata
Boundaries(OSB) and Optimum Sample Size (OSS) of each stratum,
when the population understudy isskewed and the study variable has
a Pareto frequency distribution. The problem of determining the OSB
isformulated as a Mathematical Programming Problem (MPP) which
is then solved by dynamic programming technique. A numerical
example is presented to illustrate the computational details of the
proposed method. The proposed technique is useful to obtain OSB
and OSS for a Pareto type skewed population, which minimizes the
variance of the estimate of population mean.
Abstract: The paper suggests for the first time the use of dynamic programming techniques for optimal risk reduction in the railway industry. It is shown that by using the concept ‘amount of removed risk by a risk reduction option’, the problem related to optimal allocation of a fixed budget to achieve a maximum risk reduction in the railway industry can be reduced to an optimisation problem from dynamic programming. For n risk reduction options and size of the available risk reduction budget B (expressed as integer number), the worst-case running time of the proposed algorithm is O (n x (B+1)), which makes the proposed method a very efficient tool
for solving the optimal risk reduction problem in the railway industry.
Abstract: In this manuscript, we discuss the problem of determining the optimum stratification of a study (or main) variable based on the auxiliary variable that follows a uniform distribution. If the stratification of survey variable is made using the auxiliary variable it may lead to substantial gains in precision of the estimates. This problem is formulated as a Nonlinear Programming Problem (NLPP), which turn out to multistage decision problem and is solved using dynamic programming technique.