We consider a new interpretation of the modified simplex imbeddings method. The main construction of this method is a simplex which contains a solution of convex non-differentiable problem. A cutting plane drawn through the simplex center is used to delete a part of the simplex without the solution. The most interesting feature of this method is the convergence estimation which depends only on ...

This paper introduces a new shortest path simplex pivot rule choosing a subset of non-basic arcs to simultaneously enter into the basis. The term multiple pivot for this operation is used. From this concept, a generic shortest path simplex algorithm with multiple pivots is described. In addition, a simplex multiple pivot rule is provided to design a shortest path simplex algorithm requiring O(n...

Experiments on real physical systems play a major role in engineering disciplines. Traditionally, the use of real physical systems requires a students' physical presence in the laboratory. We have developed the RemoteLab telelaboratory environment, which allows students to remotely conduct physical experiments via the Web, creating a reliable integrated virtual and real laboratory education env...

Table 1-Composition of extended chicken nugget formulations in a threecomponent constrained simplex lattice mixture design evaluated for acA mixture design was used to optimize the sensory acceptability (appearance, color, flavor, texture, and overall liking) of chicken nuggets containing flours processed from fermented cowpeas (FCF) and fermented partially defatted peanuts (FPDPF). Flavor and ...

Abstract From the Poisson–Dirichlet diffusions to Z -measure diffusions, they all have explicit transition densities. We show that densities of can also be expressed as a mixture sequence probability measures on Thoma simplex. The coefficients are same in diffusions. This fact will uncovered by dual process method special case where established through an up–down chain Young graph.

We introduce a new network simplex pivot rule for the shortest path simplex algorithm. This new pivot rule chooses a subset of non-basic arcs to enter into the basis simultaneously. We call to this operation multiple pivot. We show that a shortest path simplex algorithm with this pivot rule makes O(n) multiple pivots and runs in O(nm) time. This new pivot rule is based on the new concept of pse...

The paper presents the results of research aimed at creating a flour polycomposite mixture for bread with dry milk whey and rye fermented malt. Leading manufacturers mixtures offer products similar chemical composition. Therefore, it is urgent to expand range new balanced composition, which makes possible obtain bakery consistently high quality. By methods mathematical planning experiment using...