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An attempt to resolve no-wait flow shop scheduling problems using hybrid ant colony and whale optimization algorithms
The incentive for many developments and scientific progresses within the field of scheduling has emerged from industrial environments, and naturally, it could be utilized in expressing the scheduling concepts regarding terms used in the industry. Generally speaking, scheduling problems are known as limited optimization issues through which decisions related to the machines’ assignment and works processing sequence are probed. Thus, following a review of the related literature, the major goal of this research is to design a mathematical model and to solve it through a meta-heuristic for no-wait flow shop scheduling problem using different machines for the purpose of minimizing the time required to complete the work using whale and ant colony optimization (ACO) algorithms in Sanat-Gostar-e-Hamgam Shoe Company. The ACO and whale algorithm methods are used to compare and predict scheduling activities in manufacturing line of shoe industry. The results showed an ACO algorithm with two stages in mean ideal distance (MID) end amounting to 76.65 and 77.38, respectively. Also, regarding the amounts of standard error mean squares, it could be claimed that the model designed using the improved whale algorithm has a better prediction, and the minimum time required to complete works using the whale algorithm is estimated to be equal to 86.1071. This could lead to an optimal state in achieving the predetermined goals
Educational Studies in Wartime: How War and Dictatorship influenced the Educational Theory of Philipp Abraham Kohnstamm (1875–1951)
Between the two World Wars, the Amsterdam physicist Philipp Abraham Kohnstamm (1 875–1951) became one of the founders of Dutch academic pedagogy. In the theory developed by Kohnstamm in the 1920s, the war played a significant role in the background. Kohnstamm’s philosophy of personalism was intended as a defense against fascist tendencies towards Gleichschaltung and dictatorship. With his educational ideas, Kohnstamm wanted to strenghten democratic citizenship and the emancipation of the lower classes. In the 1930s, Kohnstamm entered into a debate with National Socialism and emerged as a principled proponent of democracy and democratic education. As a German and Jew of origin, who later became Dutch and Christian, the rise of National Socialism strongly influenced Kohnstamm and it caused that he only finished three of the seven planned volumes of his magnum opus. In this paper, in which Kohnstamm’s resistance against war and dictatorship is further elaborated, the Dutch scholar is presented as a case of educational studies in wartime
The development of pupils’ ideas about geometric concepts during primary school
Příspěvek představuje výsledky testování žáků 4., 6. a 8. ročníku základní školy v oblasti vývoje pojmů a představ o geometrických pojmech. Je sledováno, jak se vyvíjí miskoncepce o pojmech čtverec, trojúhelník, kruh a kružnice v průběhu základní školy. Žákům byl předložen test, ve kterém měli rozhodovat, zda útvar je či není zástupcem daného pojmu a měli slovně okomentovat, proč se takto rozhodují. Výsledky byly vyhodnoceny a stručně jsou uvedeny v tomto příspěvku. V závěru je uvedeno doporučení, které může žákům pomoci lépe utvářet představy o geometrických pojmech.The paper presents some results of testing pupils from the 4th, 6th and 8th grade of elementary school focused on concept development and their images about geometric concepts. It examines how misconceptions about the concepts of square, triangle and circle develop during elementary school. The pupils were given a test in which they were asked to decide whether or not the shape is a representative of the term and to comment verbally on why they made such a decision. Their responses were analysed and are briefly presented in this paper. In conclusion, there is a recommendation that can help pupils to better shape their ideas about geometric concepts
Triangular figuress
Cílem příspěvku je informovat čtenáře o vzniku nové interaktivní pomůcky na rozvoj geometrické představivosti žáků ve věku 11-16 let. Úvod je věnován popisu možností, jak vhodným způsobem lze u dětí rozvíjet geometrickou představivost formou her a geometrických aktivit. Zmínka je o vzácné historické stavbě Pevnost poznání, která je prvním interaktivním muzeem popularizace vědy na střední Moravě. Druhá část příspěvku pojednává o vzniku didaktické pomůcky Trojúhelníkové figury na trénink vizuální představivosti, která bude pro návštěvníky k dispozici od července 2021.The aim of the paper is to inform the reader in a broader context about the emergence of a new interactive tool for the development of geometric imagination of students aged 11-16. The introduction emphasizes the importance of geometry, the associated geometric thinking and spatial imagination. Attention is paid to the concepts of spatial and geometric imagination in relation to the teaching of geometry. The rare historical building Fort Science is mentioned, which is the first interactive museum of popularization of science in Central Moravia. The second part of the paper deals with the didactic aid Triangular Figures based on the author's own experience with teaching mathematics and geometry, including a summary and justification of its contribution to practical use
XIVth Seminar on History of Mathematics for High-School Teachers
Sdělení přináší zprávu o XIV. semináři z historie matematiky pro vyučující na středních školách, který se uskutečnil ve dnech 19. až 22. srpna 2019 v Poděbradech
Some remarks on the cardinality of sets
Text je stručným přehledem nejdůležitějších vlastností nekonečných množin, mimo jiné vyvrací omyl publikovaný v článku Kuřina & Vondrová: Nekonečno, jak to vlastně je, UM 2003. "Zip Petera Zamarovského" není bijekcí mezi (0;1)x(0;1) a (0;1), ale pouze injekcí, tudíž ekvivalenci množiny všech bodů čtverce a úsečky nedokazuje. V článku je naznačen jiný důkaz.This paper deals with some problems of the sets cardinality. It explains the concept of countability and uncountability. It discovers the incorrectness of the previously described construction of the bijection betwen the square and its side. It provides a correct proof of the existence of this mapping and describes the construction of higher cardinalities with a technique that is understandable for talented secondary school students
Utilization of time-driven activity-based costing and process simulation in cost management of organization
The deployment of information and communication technologies in organizations is on the rise. Many organizations consider the application of technologies to be a crucial key to improve their processes. However, traditional costing systems are not suitable for cost estimation of business processes due to the use of volume-based cost drivers, which are often not adequate for the structure of today’s organizations. In this research, we present an overview of how the TDABC (time-driven activity-based costing) model can be combined with process mining and business process simulation for cost estimation of such processes. The objective of this paper is to use the cost dimension as a major attribute for the potential implementation of robotic process automation (RPA) in companies. However, information and communication technologies could be considered in general. We demonstrate our approach in a case study that takes advantage of a real-life event log containing transactional data representing the loan application process in an insurance company. The event log is analyzed and processed using process mining techniques. Based on the preprocessing, a simulation model representing the original loan application process is designed. The designed simulation model is then used for simulation of partial and full implementation of RPA through separate scenarios. Then, we add the cost dimension to the simulation by enriching the event log with cost data based on a formalized cost model. We show that even though partial implementation of RPA might not deliver significant increase in efficiency in the process, it might still represent significant cost savings
SYNCHROTRON BASED X-RAY ABSORPTION SPECTROS-COPY FOR STRUCTURAL ANALYSIS OF BASALT FIBERS
X-ray Absorption Near Edge Structure (XANES) spectroscopy at the Synchrotron Light Research Institute (Thailand) was used to investigate temperature related structural changes in basalt fibers. As a first step, XANES spectra of fiber samples cut from a basalt roving heated for 1 hour at 800 °C were recorded at the K absorption edges of three chemical elements and compared with the spectra of the untreated fibers. Silicon and calcium K-edge XANES spectra of the fibers were not affected by heating, whereas iron K-edge XANES spectra were significantly influenced by heating at 800 °C. The high iron content in basalt fibers has been attributed to their higher thermal stability compared to common natural or synthetic fibers. As a next step, iron K-edge XANES spectra of two types of fibers (basalt roving and uncoated chopped fibers) were recorded after heating at temperatures between 600 °C and 900 °C. In both cases, with increasing temperature the absorption edge shifts to higher energies, indicating progressing oxidation of the iron atoms in the fibers. These experiments demonstrate the potential of X-ray absorption spectroscopy as a powerful analytical tool to investigate structural changes in basalt fibers upon heating and to correlate them with changes in their mechanical properties