This paper proposes a multi-objective model for the economic-statistical design of the variable sample size and sampling interval multivariate exponentially weighted moving average control chart by using double warning lines. The Markov chain approach is used to obtain the statistical properties. We extend the Lorenzen and Vance cost function considering multiple assignable causes and multivari...

In this paper‎, ‎based on CAS wavelets we present quadrature rules for numerical solution‎ ‎of double and triple integrals with variable limits of integration‎. ‎To construct new method‎, ‎first‎, ‎we approximate the unknown function by CAS wavelets‎. ‎Then by using suitable collocation points‎, ‎we obtain the CAS wavelet coefficients that these coefficients are applied in approximating the unk...

The purpose of this paper is to develop an output oriented methodology for calculating productivity growth by using Malmquist productivity index (MPI) and two different data envelopment analysis (DEA) views (optimistic and pessimistic) simultaneously, and apply it to five Iranian Commercial Banks over the four time period (2009-2013). Consequently, we have proposed a new approach called the dou...

The theory of mechanism-based strain gradient (MSG) plasticity involves two material length parameters, namely the intrinsic material length l and the mesoscale cell size lε, which are on the order of a few microns and 0.1 μm, respectively. Prior studies suggest that lε has essentially no effect on the macroscopic quantities, but it may affect the local stress distribution. We demonstrate in th...

Due to slow time variation, variable run length and nonlinearity of sequencing batch reactor (SBR) wastewater treatment batch process, a multivariate statistical MPCA model based on double moving window along the time×variable axis and batch-axis is used for online monitoring the progress of sequencing batch reactor. Moving window MPCA along the time×variable axis can copy seamlessly with varia...