Companies constantly strive for the perfect order which enables them to satisfy and retain their customers. This is a difficult process that can be facilitated by using different picking technologies. In this study, a research of the picking technologies Pick-to-Light and Pick-to-Voice have been made to investigate when each technology is suited.In order to collect relevant information and data to be able to answer the question formulation, a qualitative study with interviews have been made. The purpose of this essay was to investigate Pick-to-Light and Pick-to-Voice to see when each technology is best suited and to see what the differences between the technologies are. With our essay we wanted to help manufacturing companies to make the right decisions when implementing a picking technology.The results showed that those picking technologies give companies a higher picking quality and an increased work efficiency since the order picking is faster to perform, and that picking errors are reduced. Through the interviews conducted, the result showed that Pick-to-Light and Pick-to-Voice are best suited at different types of areas. Pick-to-Light is optimal in small areas with high picking frequency while Pick-to-Voice is optimal in large areas with low picking frequency. Companies that are thinking of expanding in the future and use a picking technology on a much larger area, was recommended to implement Pick-to-Voice since this technology is more cost effective. Both of these technologies have multiple positive effects that are similar. Examples on these positive effects are that the operator has an overview of the items to be picked, the technologies are easy to learn and ergonomics are enhanced significantly when all paper handling is eliminated.Obviously, there are also differences between the techniques and also some disadvantages of each technique. The main differences are that the operator with Pick-to-Light can see which articles to be picked with the help of the luminous lights while the operator with Pick-to-Voice is voice guided to the items to be picked. Another major difference is that Pick-to-Voice is a wireless technology unlike Pick-to-Light and the ability to pick multiple orders at the same time is only possible with Pick-to-Voice. When it comes to maintenance costs, Pick-to-Light is more costly, both in time and money, since lights and cable must be replaced periodically. Likewise, an expanding with Pick-to-Light is more comprehensive since more cables and lamps must be purchased and installed. With Pick-to-Voice the only needed adjustment to make is in the system.Depending on the available conditions on the companies, the technologies are best suitable in different ways. Companies can use the technologies to secure the quality of the picking, reducing picking errors, and streamline the picking process. These technologies create the opportunity for companies to achieve the perfect order.

An efficient algorithm which finds collision free paths for a manipulator with 5 or 6 revolute joints is described. It solves the problem for four degree of freedom pick and place operations. Examples are given of paths found by the algorithm in tightly cluttered workspaces. The algorithm first describes free space in two ways: as freeways for the hand and payload ensemble and as freeways for the upperarm. Freeways match volumes swept out by manipulator motions and can be "inverted" to find a class of topologically equivalent path segments. The two freeway spaces are searched concurrently under projection of constraints determined by motion of the forearm.

This Master's thesis will develops a modern approach to complex interpolation problems studied by Carath\'odory, Nevanlinna, Pick, and Schur in the early $20^{th}$ century. The fundamental problem to solve is as follows: given complex numbers $z_1,z_2,...,z_N$ of modulus at most $1$ and $w_1,w_2,...,w_N$ additional complex numbers, what is a necessary and sufficiency condition for the existence of an analytic function $f: \mathbb{D} \rightarrow \mathbb$ satisfying $f(z_i) = w_i$ for $1 \leq i \leq N$ and $\vert f(z) \vert \leq 1$ for each $z \in \mathbb{D}$? The key idea is to realize bounded, analytic functions (the algebra $H^\infty$) as the \emph of the Hardy class of analytic functions, and apply dilation theory to this algebra. This operator theoretic approach may then be applied to a wider class of interpolation problems, as well as their matrix-valued equivalents. This also yields a fundamental distance formula for $H^\infty$, which provides motivation for the study of completely isometric representations of certain quotient algebras. Our attention is then turned to a related interpolation problem. Here we require the interpolating function $f$ to satisfy the additional property $f'(0) = 0$. When $z_i =0$ for some $i$, we arrive at a special case of a problem class studied previously. However, when $0$ is not in the interpolating set, a significant degree of complexity is inherited. The dilation theoretic approach employed previously is not effective in this case. A more function theoretic viewpoint is required, with the proof of the main interpolation theorem following from a factorization lemma for the Hardy class of analytic functions. We then apply the theory of completely isometric maps to show that matrix interpolation fails when one imposes this constraint.

This Master's thesis will develops a modern approach to complex interpolation problems studied by Carath\'odory, Nevanlinna, Pick, and Schur in the early $20^{th}$ century. The fundamental problem to solve is as follows: given complex numbers $z_1,z_2,...,z_N$ of modulus at most $1$ and $w_1,w_2,...,w_N$ additional complex numbers, what is a necessary and sufficiency condition for the existence of an analytic function $f: \mathbb{D} \rightarrow \mathbb$ satisfying $f(z_i) = w_i$ for $1 \leq i \leq N$ and $\vert f(z) \vert \leq 1$ for each $z \in \mathbb{D}$? The key idea is to realize bounded, analytic functions (the algebra $H^\infty$) as the \emph of the Hardy class of analytic functions, and apply dilation theory to this algebra. This operator theoretic approach may then be applied to a wider class of interpolation problems, as well as their matrix-valued equivalents. This also yields a fundamental distance formula for $H^\infty$, which provides motivation for the study of completely isometric representations of certain quotient algebras. Our attention is then turned to a related interpolation problem. Here we require the interpolating function $f$ to satisfy the additional property $f'(0) = 0$. When $z_i =0$ for some $i$, we arrive at a special case of a problem class studied previously. However, when $0$ is not in the interpolating set, a significant degree of complexity is inherited. The dilation theoretic approach employed previously is not effective in this case. A more function theoretic viewpoint is required, with the proof of the main interpolation theorem following from a factorization lemma for the Hardy class of analytic functions. We then apply the theory of completely isometric maps to show that matrix interpolation fails when one imposes this constraint.

Thèse (M.Sc.)--Université Laval, 2007. / Bibliogr.: f. [72]. Publié aussi en version électronique dans la Collection Mémoires et thèses électroniques.

MENESES, Paulo de Oliveira. Teorema de Pick e teorema espacial tipo-Pick: demonstrações e aplicações no ensino médio. 2016. 84 f. Dissertação (Mestrado em Matemática em Rede Nacional) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2016. / Submitted by Rocilda Sales (rocilda@ufc.br) on 2016-06-27T13:14:24Z No. of bitstreams: 1 2016_dis_pomeneses.pdf: 8880492 bytes, checksum: 2116f6152464950d6130404a0eb876d9 (MD5) / Approved for entry into archive by Rocilda Sales (rocilda@ufc.br) on 2016-06-27T13:15:17Z (GMT) No. of bitstreams: 1 2016_dis_pomeneses.pdf: 8880492 bytes, checksum: 2116f6152464950d6130404a0eb876d9 (MD5) / Made available in DSpace on 2016-06-27T13:15:17Z (GMT). No. of bitstreams: 1 2016_dis_pomeneses.pdf: 8880492 bytes, checksum: 2116f6152464950d6130404a0eb876d9 (MD5) Previous issue date: 2016 / Studies show that the performance of students in Mathematics is not satisfactory, since only a small portion of these students has the knowledge needed to pursue studies. The present work aims to create tools that can assist and improve classroom practices, more precisely in the studies of Geometry. We will present by counting Pick's Theorem, which calculates the area of a simple polygon by counting the points of the boundary and of the interior of the figure on a fixed lattice, making it a powerful tool of simple use for the understanding of the study of areas. Then we will present Reeve's Theorem that, similarly to Pick's, calculates the volume of a convex polyhedron by counting their lattice points, working on a secondary lattice of points Z3n, making a link between Geometry and counting. / Estudos mostram que o desempenho do aluno em Matemática não é satisfatório, pois apenas uma pequena parcela desses alunos tem os conhecimentos necessários para prosseguir nos estudos. O presente trabalho visa criar ferramentas que possam auxiliar e melhorar as práticas em sala de aula, mais precisamente nos estudos de Geometria. Apresentaremos o Teorema de Pick, que visa calcular a área de um polígono simples usando contagem, analisando os pontos do bordo e do interior da figura em uma rede fixada, tornando-se uma ferramenta de uso simples e poderosa para a compreensão do estudo de áreas. Logo em seguida, mostraremos o Teorema de Reeve que, de modo análogo a Pick, calcula o volume de um poliedro convexo contando os seus pontos de rede, trabalhando em uma rede secundária de pontos Z3n, realizando um elo entre Geometria e contagem.

Cette thèse donne de nouveaux résultats de lois infiniment divisibles. La résolution d'une conjecture de Steutel (1973) à propos de la divisibilité infinie des puissances d'une variable gamma, et d'une conjecture de Bondesson (1992) à propos de la monotonicité complète hyperbolique des densités stables positives en sont les deux résultats principaux. Des fonctions spéciales (fonctions de Bessel, hypergéométriques, de Mittag-Leffler) apparaissent régulièrement tout au long du manuscrit. / In this thesis, we give some new results of infinite divisibility on the half-line. The main results are : - The resolution of a conjecture due to Steutel (1973) about the infinite divisibility of negative powers of a gamma variable.- The resolution of a conjecture due to Bondesson (1992) concerning stable densities and hyperbolic complete monotonicity property.

Bildverarbeitungssysteme bieten innovative Lösungen für den Fertigungsprozess. Kameras und zugehörige Bildverarbeitungssysteme können zur Identifizierung, Prüfung und Lokalisierung von Teilen auf einem Förderband oder in einem Behälter mit Teilen eingesetzt werden. Roboter werden dann eingesetzt,um jedes Teil aufzunehmen und im Montagebereich zu platzieren oder sogar um die Grundmontage direkt durchzuführen. Das System für dieses Projekt besteht aus einem Roboter Kuka KR6 900, der die Position (x-, y- und z-Koordinaten des Objektschwerpunkts) und die Ausrichtung eines Bauteils von einem Bildverarbeitungssystem basierend auf einem Jetson Nano erhält. Das Ziel dieses Projekts ist es, eine automatische Erkennung eines Objekts mit Hilfe einer 2D-Kamera und der Auswertung mit dem Deep Learning Algorithmus Darknet YOLO V4 durchzuführen, so dass der Roboter das Objekt greifen und platzieren kann. Dieses Projekt verwendet zwei verschiedene Objekttypen: einen Quader und einen Zylinder. Die Bilderkennung erfolgt mit Hilfe des Jetson Nano, dort erfolgt aus den Pixelkoordinaten die Berechnung der realen Koordinaten, die dann über die TCP/IP-Schnittstelle des Kuka KR6 900 zur Durchführung der Entnahme und Platzierung übermittelt werden. Die Flexibilität des Roboters, dessen Steuerung auf diese Weise von der Bildverarbeitung unterstützt wird, kann den Bedarf an präzise konstruierten Teilezuführungen verringern und so die Flexibilität in der Fertigungszelle erhöhen und kurze Produktionsläufe und Anpassungsfähigkeit ermöglichen.

För att Swepart Transmission AB ska fortsätta att hålla en hög standard på produkter som levereras till kunder, ska monteringslinan för Power Take-Off säkras. Budgeten som är avsatt till att kvalitetssäkra monteringslinan är 500 000 kr. Pick-to-Light och Pick-to-Voice är system som kan användas för att kvalitetssäkra monteringen av Power Take-Off. Systemen jämfördes med systemet med monteringskort som används i nuläget. Det mest lämpliga att införa har visat sig vara Pick-to-Light. I samband med införandet av detta system måste utredningar göras för vilka komponenter som behöver sensorer och vilka som kan säkras på andra sätt. Detta arbete innefattar också att utreda placeringen av komponenter som är optimalt för monteringen.

Den digitala utvecklingen får konsekvenser för arbetslivet och dess organisering. I studien undersöks genom fem semistrukturerade intervjuer hur fackligt aktiva orderplockare resonerar kring plocksystemet genom vilket de utför sitt jobb och hur de digitala systemen påverkar maktförhållanden på arbetsplatsen.   Respondenterna arbetar alla inom livsmedelsdistribution på arbetsplatser som arbetar med det digitala plocksystemet pick-by-voice (PbV). Med utgångspunkt i Edwards (1979) tre övergripande kontrollmekanismer styrning, utvärdering och disciplinering samt Kelloggs (2020) sex mekanismer genom vilka algoritmisk kontroll utövas, de så kallade 6R:en, undersöks hur den digitala utvecklingen påverkar möjligheten för arbetsmarknadens parter att utöva kontroll och göra motstånd i arbetsprocessen. Studien finner att PbV innebär att flera arbetsledande funktioner flyttas till det tekniska systemet. Detta innebär en starkare styrning av arbetet genom att systemet begränsar de anställdas handlingsutrymme och en mer omfattande utvärdering och disciplinering genom att varje arbetsmoment loggas på individnivå. Genom realtidsutvärdering sker disciplineringen dels genom självdisciplinering, dels genom belöning för de som rankas högt enligt måltalen och bestraffning för de som inte lever upp till förväntningarna. Här fungerar tillgång till helgarbete, fasta anställningar och rotation som motiverande instrument. Studien finner också att de bemanningsanställda disciplineras hårdare då de pressas genom otryggheten i anställningen. Genom det digitala systemet blir kontrollen främst algoritmisk. Samtidigt förefaller den direkta kontrollen samverka med den algoritmiska kontrollen i utdelandet av både belöningar och bestraffningar utifrån den digitala utvärderingen. Detta motverkar institutionaliserandet av makt i det tekniska systemet och skapar konfliktytor kring det digitala systemet.