In recent years, some researches have been done on simultaneous monitoring of multivariate process mean vector and covariance matrix. However, the effect of measurement Error, which exists in many practical applications, on the performance of these control charts is not well studied. In this paper, the effect of measurement Error with linearly increasing variance on the performance of ELR control chart for simultaneous monitoring of multivariate process mean vector and covariance matrix is investigated. The multiple measurement approach is also extended to reduce this effect. Also, the performance of the proposed multiple measurement approach is evaluated in terms of average run length (ARL) and standard deviation run length (SDRL). Finally, the application of the proposed monitoring method is illustrated by a real data in manufacturing industry.

To map quantitative trait loci (QTL) for harvest index, 148 recombinant inbred lines and their parents, Yecora Rojo and an Iranian landrace line (No. 49), were evaluated under normal and terminal water deficit stress conditions in the research stations of Mahabad University and Miyandoab Agricultural Research Center, Iran, during 2014 and 2015. The experiment was carried out as design alpha lattice design with two replications. A linkage map of 51 retrotransposon and 177 microsatellite markers was used in this investigation. Quantitative trait loci (QTL) for Additive effects and Additive × Additive interactions were determined by QTL Network 2. 0 software using CIM and mixed-linear methods. QTL analysis revealed that under normal condition, six QTLs (R 2 A= 0. 04 to 12. 0%), two QTL × environment (E) interactions (R 2 AE= 6. 28%), five Additive × Additive epistatic effects (R 2 AA= 0. 7 to 8. 68%) and 12 Additive × Additive × E (R 2 AAE= 3. 76 to 11. 4%) were significant. Under water deficit stress conditions, two QTLs (R 2 A= 5. 0 to 7. 0%), two Additive × Additive interactions (R 2 AA= 3. 72 to 5. 48%) and seven Additive × Additive × E interactions (R 2 AAE= 8. 04 to 9. 58) were identified. Among the eight QTLs identified, three QTLs were located on chromosome 2D, suggesting the importance of this chromosome in controlling harvest index, which may be used for marker assisted selection in breeding programs.

In bread wheat (Triticum aestivum L. ), crop height is an important determinant of agronomic performance. To map QTLs with Additive effects and Additive×Additive epistatic interactions, 148 recombinant inbred lines and their parents, (‘ YecoraRojo’ and Iranian landrace (No. #49)) were evaluated under normal and water deficit conditions. The experiments were carried out on research farms of Mahabad University and Miyandoab Agricultural Research Center in 2014-2015. The experimental design was an alpha lattice design with two replications. Quantitative trait loci (QTL) for the studied traits were carried out for Additive effects and Additive×Additive epistatic interactions using the QTL Network 2. 0 software based on the mixed-linear model. A number of 177 microsatellite and 51 retrotransposon markers were used to construct the linkage map. In the present study stem length, plant weight, peduncle length, and peduncle weight were measured. Results showed that under both normal and water deficit conditions, both positive and negative transgressive segregations were significant, also the highest and lowest broad and narrow sense heritability were estimated for stem length (73. 69 and 36. 74 percent) and peduncle length (40. 51 and 20. 25 percent), respectably. The results showed that under the normal condition, seven QTLs (R2 A=5 to 11%), and eight Additive×Additive epistatic interactions (R2 AA=1. 66 to 10. 92%) were significant. Under the water deficit condition seven QTLs (R2 A=4. 27 to 9%), and five Additive×Additive epistatic interactions (R2 AA=3. 8 to 14. 58%) were significant. Five QTLs from the 14 QTLs identified in this study were located in chromosome 5A, indicating the importance of this chromosome in controlling the plant architecture characteristics and possibly using it for marker-assisted selection and genetic engineering.

Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a  Abelian group  uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*}    f(x+y)+f(x-y)+g(x+y)&=2f(x)+f(y)+f(-y)+g(x)\\    & \quad +g(y), \\    f(x+y)+f(x-y)+g(x+y)&=2f(x)+2f(y)+g(x)+g(y),\end{align*}are investigated, where $f$ and $g$ are unknown functions  from $G$ to $cc(Y)$.

Background: Maritime transport from the beginning of human history, has played a fundamental role in shaping human societies and their economic development. In this era the communication arteries are the foundation of any country's economy. Due to the development of the necessary ports, coastal dredging activities in Iran had a growing trend during over the past two decades. However, from an environmental perspective less attention has been made particularly for the management of dredged material.. In this paper, the environmental risks of dredging operations were identified and ranked at Bandar Imam Khomeini.Methods: The Delphi questionnaires were applied in order to initially create the important risk factors associated with dredging operations.. Then, multi-criteria decision making techniques were developed to calculate the likelihood of weighted index entropy measures, severity and likelihood of each risk has been detected, identified and prioritizes as significant risks using the Simple-Additive-weighting (SAW) technique.Results: The results show that the size and concentration of petroleum hydrocarbons and heavy metals increased in aquatic organisms tissue and are noted as important risks as the first and second stress in the aquatic habitats. Creating of disorder in the context of the nature of bed sea during the dredging operations has also been ranked as the third factor.Conclusion: Primarily of dredging operations will ultimately lead to ecological imbalance, environmental risks and leads to disturbance in the location of the dredging.