Mathematical optimization

Assembly line balancing can be defined as how tasks to be assigned to the workstations, so the required goal can be achieved. But what is the goal that should be achieved? The answer is minimization of the workstations and maximization of the production rate. Line balancing is one of the most effective that can be used to improve the output of assembly line by reducing worker’s requirement and costs. The manufacturing assembly line was first introduced by Henry Ford in the early 1900’s. It was…

Where P is the permeability coefficient, Q is the amount of permeant passing through the material, x is the thickness of the plastic film, A is the surface area available for mass transfer, t is the time, and ∆p is the change in permeant partial pressure across the film. Hence the permeability coefficient (P) is the proportionality constant between the flow of the penetrant gas per unit film area per unit time and the driving force (partial pressure difference) per unit film thickness. The…

(1990). "Kohonen 's Self Organizing Feature Maps for Exploratory Data Analysis". In Widrow, Bernard; Angeniol, Bernard. Proceedings of the International Neural Network Conference. Tony Phillips, Tony Phillips ' Take on Math in the Media, American Mathematical Society, October 2006 "Methods with high accuracy for finite element probability computing" by Peng Long,…

My motivation to study machine perception is a long-term passion for mathematics, programming, and the human brain. Before knowing much about machine intelligence, my primary motivation was to take part and securing the first place in Bangladesh Mathematical Olympiad for three times. Following this achievement, I graduated in Electrical Engineering taking major classes on theoretical signal processing at Bangladesh University of Engineering and Technology. Additionally, I accomplished a thesis…

The heat exchanger design is an optimization engineering problem, to approach the best solution for sizing and selection of a heat exchanger and also to analyze its thermal performance. A properly sized heat exchanger should incorporate excess capacity to account for fouling that will occur during operation but too much oversizing results in higher manufacturing and installation costs. The most appropriate metric to describe the performance of a heat exchanger is its thermal capacity, which is…

Introduction Amazon has a well-known feature that utilizes customer buying habits to help predict what other similar customers would like to purchase [8]. This marketing technique success originates from its use of Big Data analytics. Many companies and organizations have “repositories of information that are difficult to reach or understand [15].” Companies that have incorporated Big Data into their infrastructure have seen tremendous success because instead of sampling large data sets, Big…

Figure 5.8 is a pulse height spectrum of the net counts of the beta- emitting radionuclide, 137Cs as a function of pulse height voltage. Within Figure 5.8, the majority of the counts reside in the low voltage region, below 25 mV. It is possible to discriminate the between the different particle types by virtue of the pulse height distribution and establishing detection window threshold within the detection unit. As discussed earlier, it is possible to establish a lower threshold limit that…

My motivation to study machine perception is my long-term passion for mathematics, programming, and the human brain. Before knowing much about machine perception, my main motivation was to participate and securing the first prize in Bangladesh Mathematical Olympiad for three times. Following this achievement, I graduated in Electrical Engineering taking major classes on theoretical signal processing and accomplishing a bachelor thesis on the modeling of brain hemodynamics. This made me…

Friction stir welding a novel solid state welding which gains momentum in versatile applications viz., aerospace, marine, defense equipments and automobile industries. In the present work, AA 5052-H34 weldments have been prepared by FSW process. Optimization has been done by applying Taguchi’s L9 orthogonal array with three input parameters and each with three levels in order to obtain maximum hardness and desirable macro and microstructures. A maximum hardness of 95.2 HV which is 14% higher…

creditable to the chemist Norman Stingley. This bouncing ball originated from the concepts and shape of the regular toy ball. [1]. Balls have been in the industry for ages, as it needs chemical processes to be produced. As a result of innovation and optimization of processes the bouncing ball was invented using rubber at first, but produced by polymerization and use of plastics in the present. [2] Polymerization is not something that started long time ago, but became one of the most important…