Statistical Process Capability Design to Improve Process Stability of a Molding Machine

Justification of production and manufacturing processes overtime, process capability in the concept of statistical control has been of great importance because it has promoted the production of products that satisfy the expectation of consumers. This paper aimed at promoting the adoption of quality process capability design in a bid to improve the process stability of a process and improve the process performance in the long run of production.

In ensuring this, the technique of design of experiment is adopted using factorial design after which the capability analysis was carried out on the data on plastic containers produced by molding machines as deduced from the control Xbar and Range charts, it was established that the process was observed to be stable and in a state of statistical quality control and the plastic containers produced were observed to differ from one another as a result of variation on the part of the operators of the molding machines.

An Application of SLA in Small Business Sectors with Multi Item Inventory Management

All type of retailers face an uncertainty of consumer demands. The retailer who having long replenishment lead time from the original supplier and located close to each other are coordinated to prevent stock out and increase service level of their customer. This coordination is simply called lateral transshipment which defines the redistribution of stock from retailer with stock on hand to the retailer who is expecting significant loss due to high risk.

If transportation cost is increased, lateral transshipment is known as a better approach than a policy of no transshipment. The execution of lateral transshipment was done by Young Hae Lee at airport to inspect the airplane. However this is difficult in the companies or in department due to the information extinction and insufficient understanding between companies.

Fixed Point Theory for Three φ–Weak Contraction Functions

Alber and Guerre-Delabriere demonstrated the “concept of weak contraction” in 1997. Actually in concept of weak contraction, the authors defined such mappings for single-valued maps on Hilbert spaces and proved the existence of fixed points. Rhoades showed that most results of concept of weak contraction are still true for any Banach space along with that he has proved the following very interesting fixed point theorem which is one of generalizations of the Banach contraction principle because it contains contractions as special cases (ϕ(t)=(1–k)t).

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A New Method on Measure of Similarity between Interval-Valued Intuitionistic Fuzzy Sets for Pattern Recognition

The theory of fuzzy sets, proposed by Zadeh, has gained successful applications in various fields. Measures of similarity between fuzzy sets have gained attention from researchers for their wide applications in real world. Similarity measures are very useful in some areas, such as pattern recognition, machine learning, decision making and market prediction etc. Many measures of similarity between fuzzy sets have been proposed.

Atanassov presented intuitionistic fuzzy sets which are very effective to deal with vagueness. Gau and Buehere researched vague sets. Bustince and Burillo pointed out that the notion of vague sets is same as that of interval-valued intuitionistic fuzzy sets. Chen and Tan proposed two similarity measures for measuring the degree of similarity between vague sets. De et al. defined some operations on intuitionistic fuzzy sets. Szmidt and Kacprzyk introduced the Hamming distance between intuitionistic fuzzy sets and proposed a similarity measure between intuitionistic fuzzy sets based on the distance.

Particle-Based or Field-Based Models for Polymer Systems?

Compared to the systems which are composed of simple atoms or molecules, the structures of polymer systems in equilibrium are richer. The main reason is that a polymer molecule is composed of many monomers with the same or different chemical property. 

Take AB di block co polymers as an example. Each molecule has a form AA• • •ABB• ••B where the monomer A and B have different chemical properties. The equilibrium structures for di block co polymer, e.g., lamellar, hexagonal cylinder, bicontinuous gyroidand bcc sphere, etc., have been found for different composition of monomer B through computation and experiments. This equilibrium structures (A-rich and B-rich phase domain) with a length scale of 10-100 nm, is the result of competition of two factors: the repulsion of two chemically distinct monomer A and B, and the conformal entropy penalty. Since monomers A and B are connected in each molecule, monomer A and B are only be separated microscopically. Thus it is called micro separation.

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Mathematical Approaches to the NMR Peak-Picking Problem

Nuclear magnetic resonance (NMR) spectroscopy and X-ray crystallography are two experimental techniques used to determine the three-dimensional structures of proteins. 

NMR spectroscopy has the unique ability to capture proteins in vivo. Currently, protein structure determination by NMR follows the procedure proposed by Kurt Wüth rich in 1986. This procedure consists of peak picking, resonance assignment, nuclear overhauser effect (NOE) assignment and structure calculation steps. Among the four steps, peak picking is time consuming and requires extensive expert knowledge. Computational methods designed to automate and improve this step are still needed. The inputs to the peak picking problem are an NMR spectrum or a set of spectra, whereas the outputs are the lists of peaks (signals) identified from these spectra.

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More Comprehensive Computational Number Theory

Computational number theory, also known as algorithmic number theory, is the study of algorithms for performing number theoretic computations. The best known problem in the field is the integer factorization, the great common divisor or the least common multiple.The largest known primes, which are usually Mersenne primes, and they were usually found by GIMPS, the Great Internet Mersenne Prime Search.

But in my opinion, the concepts of computational number theory could be more comprehensive, covering a wide range,including all the study of number theory by computers. For me, computers are so important for number theorists, just like telescopes for astronomers.

Non-metallic Particles Manipulation in Liquid Metals During Electromagnetic Processing

Research in manipulation of non-metallic particles in a liquid metal by using an electromagnetic (EM) field is promoted by both the requirement of more efficient materials design and the development of cost-effective electromagnetic apparatus. The particles of sub/micrometer size scan be agglomerated, segregated, aligned and/ or removed by applying a suitable EM field during liquid metal processing. The efficiency and applicability depends highly on the nature of the particles and the difference from the liquid metal matrix. In the present paper, the fundaments/physics of non-metallic particles manipulation by EM processing are discussed and some potential application possibilities in industry are proposed.

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Fixed Point Theory for Three φ–Weak Contraction Functions

Alber and Guerre-Delabriere demonstrated the “concept of weak contraction” in 1997. Actually in concept of weak contraction, the authors defined such mappings for single-valued maps on Hilbert spaces and proved the existence of fixed points. Rhoades showed that most results of concept of weak contraction are still true for any Banach space along with that he has proved the following very interesting fixed point theorem which is one of generalizations of the Banach contraction principle because it contains contractions as special cases (φ(t)=(1–k)t).

Advances in Logic, Operations and Computational Mathematics

Journal of Applied & Computational Mathematics Volume 5, Issue 2 comprised of 7 research articles and 4 opinion articles and are focused on the innovation of polygon, Euler, linear and non-linear equations.

EL-Kholy et al., in their research article discussed about balanced folding over a polygon and Euler numbers. The study proved that for a balanced folding of a simply connected surface M, there is a subgroup of the group which is called all homeomorphisms of M that will acts 1- transitively on the 2-cells of M.

Gil et al., in their research have reported about the exponentially stabile non-linear, non-autonomous multi variable discrete systems. Based on the recent estimates on matrix equations, the findings suggest that a class of non-autonomous discrete-time systems is governed by semi-linear vector difference equations along with slowly varying linear parts.

Advances in Logic, Operations and Computational Mathematics

Journal of Applied & Computational Mathematics Volume 5, Issue 2 comprised of 7 research articles and 4 opinion articles and are focused on the innovation of polygon, Euler, linear and non-linear equations.

EL-Kholy et al., in their research article discussed about balanced folding over a polygon and Euler numbers. The study proved that for a balanced folding of a simply connected surface M, there is a subgroup of the group which is called all homeomorphisms of M that will acts 1- transitively on the 2-cells of M.

Gil et al., in their research have reported about the exponentially stabile non-linear, non-autonomous multi variable discrete systems. Based on the recent estimates on matrix equations, the findings suggest that a class of non-autonomous discrete-time systems is governed by semi-linear vector difference equations along with slowly varying linear parts.

Mathematica and LaTeX Integration

This document is about Mathex, a software package that allows embedding Mathematica macro expressions into a Latex document, combining together the power of the two systems. 

It works in this way: when you click F2 on your preferred editor, before of the TeX to PDF conversion, a pre-processor (written in the PERL language) call Mathematica, do the computation globally (i.e. treating the file as a single program) and replaces the macros in the final TeX. The macros should be inserted between the two conventional symbols <% ... %>, and can contain every valid Mathematica’s expression, or more expressions, separated by semicolon. As every expression and every graphics object get created every time on-the-fly, the process can be slow.

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Control of Road Traffic Using Learning Classifier System

Road traffic control through proper control of junction signals is one of the complicated control issues. A conventionally used system is the rule-based system which is often employed in designing systems with deterministic states. In this paper, we have tried to study the control issue with the idea of distributed control through using Learning Classifier Systems (LCS). It means, controlling signal of any junction is done separately from other junctions through an independent Learning Classifier System and with the purpose of decreasing the lines of automobiles queue in the conduced streets to the junction. Furthermore, learning classifier systems have been used in order to control junction traffic within distributed control system.

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