Ordered Weighted Optimization related to Majorization

Majorication is a classical subject in mathematics. Optimization related to majorization have also been researched. Recently, majorization for partially ordered sets has been published . On the other hand, ordered weights optimization problems, known as OWA (Ordered Weighted Average), and OM (Ordered Median) are researched independently . The keyword between these two themes is order. The manuscript is: after a review, discussing the relation between them

Weak Absolute Majorization Ordering and its Applications

Majorization is a classic topic in mathematics and applied mathematics. In this manuscript, we review some main results in majorization and their generalized format. Furthermore, we discuss some possible applications in economics

Screening of SSR Primers and Evaluation of Salt Tolerance in 20 Sweet Sorghum Varieties for Silage

Sweet sorghum belongs to the genus Sorghum in the family Gramineae. It is a variant of common grain sorghum, with characteristics of resistance to drought, flood, barren soil and soil salinity and alkalinity (Zhan et al. 2008). Since the stem of sweet sorghum is rich in sugar, it is usually harvested as silage fodder in grasslands. Often arable land used for forage production is salt-affected. Chinnusamy et al. (2005) have screened and identified a large range of different varieties for salinity tolerance, but there are no published reports of studies screening SSR primers and evaluating the salt tolerance in sweet sorghum varieties for silage. This study aimed to analyze the response of different sweet sorghum varieties to salt stress through observations of biological traits and examinations of SSR molecular markers

Study on the collision-mechanical properties of tomatoes gripped by harvesting robot fingers

The data of collision-mechanical property of tomatoes gripped by robot fingers are important for the gripping control of tomato harvesting robot. In the study, tests of controlling the fingers to grip tomatoes were conducted to ascertain the effects of input current, motor speed and impact positions on the impact force of fingers and maximum deformation of tomatoes. The input current of the motor ranged from 1200 to 2100 mA, the motor speed from 25 to 3000 rpm and the three impact positions as follows, 1 (radial arm), 2 (sloping at an angle of 22.5° to the radial arm) and 3 (sloping at an angle of 45° to the radial arm). The results shown that under the condition of the same motor speed and inputcurrent, the peak impact force on the radial arm, compared with other impact positions, was maximum, the deformation of tomato was the smallest and the degree of mechanical damage was the lowest too.Under different speed and input current conditions, when the fingers grip the tomato on the radial arm, the peak force of fingers and the maximum deformation of tomatoes were highly influenced by the motor speed and input current, especially the input current. The peak impact force and the maximum deformation of the tomato increased respectively with increase in the motor speed and input current and these followed cubic polynomial regression equations