Temat: mathematical programming

Skocz do pozycji: 1.

Tytuł:: "On the Shoulders of Giants" A brief excursion into the history of mathematical programming
Autorzy:: Tichatschke, Rainer
Tematy:: history
mathematical programming; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Powiązania:: https://bibliotekanauki.pl/articles/729300.pdf Link otwiera się w nowym oknie
Opis:: Similar to many mathematical fields also the topic of mathematical programming has its origin in applied problems. But, in contrast to other branches of mathematics, we don't have to dig too deeply into the past centuries to find their roots. The historical tree of mathematical programming, starting from its conceptual roots to its present shape, is remarkably short, and to quote Isaak Newton, we can say:
"We are standing on the shoulders of giants".
The goal of this paper is to describe briefly the historical growth of mathematical programming from its beginnings to the seventies of the last century and to review its basic ideas for a broad audience. During this process we will demonstrate that optimization is a natural way of thinking which follows some extremal principles.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Python programming language as a tool for creating three-dimensional figures of glider aerobatics
Autorzy:: Linka, A.
Wróblewska, A.
Tematy:: aerobatics
general aviation
fly trajectory
mathematical programming; Pokaż więcej
Wydawca:: Instytut Techniczny Wojsk Lotniczych
Powiązania:: https://bibliotekanauki.pl/articles/241817.pdf Link otwiera się w nowym oknie
Opis:: The article presents the possibilities and validity of the implementation in the field of developing mathematical models for aerobatics trajectory. Proposing a catalogue of three-dimensional figures and those described mathematically will allow improving judging and scoring level, as well as the art of piloting in aerobatics. In the first chapter, article describes the processes of aerobatic flight, judge evaluation method and the current state of technology supporting the scoring process. The second chapter presents the capabilities of the Python programming language, which will be a tool for the construction of three-dimensional models. The third chapter of this article is a description of the comparative analysis of ideal trajectories and obtained in real flight. This chapter also demonstrates the validity and necessity of introducing new standards for assessing aerobatic flights. Aerobatics flights and judging, intelligent system to control aerobatic flights, three-dimensional models of aerobatic flights are presented in the article. The article concerns on use modern technologies to support the judges during the competition. The introduction of ASSD + PL system and the possibility of implementing designed models of aerobatic figures open new paths for improving the art of pilotage and arbitration.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: A Method to Improve Planning of Product Placement on a Printing Sheet
Autorzy:: Czerniachowska, Kateryna
Żywicki, Krzysztof
Wichniarek, Radosław
Tematy:: manufacturing operation
production planning
optimization
mathematical programming; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/1841430.pdf Link otwiera się w nowym oknie
Opis:: Major manufactures are moving towards a sustainability goal. This paper introduces the results of collaboration with the leading company in the packaging and advertising industry in Germany and Poland. The problem addresses the manufacturing planning problem in terms of minimizing the total cost of production. The challenge was to bring a new production planning method into cardboard manufacturing and paper processing which minimizes waste, improves the return of expenses, and automates daily processes heavily dependent on the production planners’ experience. The authors developed a module that minimizes the total cost, which reduces the overproduction and is used by the company’s manufacturing planning team. The proposed approach incorporates planning allowances rules to compromise the manufacturing requirements and production cost minimization.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: An optimal assignment procedure for multiple online surveys
Autorzy:: Kamiński, B.
Kozakiewicz, M.
Jakuczun, W.
Półtorak, M.
Tematy:: mathematical programming
optimal allocation problem
online survey management; Pokaż więcej
Wydawca:: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Powiązania:: https://bibliotekanauki.pl/articles/406623.pdf Link otwiera się w nowym oknie
Opis:: The problem of optimal assignment of respondents to internet surveys has been considered. The task is taken from a leading online research company in Central and Eastern Europe, which runs several dozen surveys in parallel. Each survey is assigned a target number of responses to be collected and unique selection criteria for choosing respondents based on their socio-demographic data. A mathematical programming model has been proposed that enables us to find an optimal mechanism for assigning respondents to surveys so as to minimize the required total number of invitations to surveys issued. A side effect of the assignment procedure is that the samples obtained are not representative of the population under survey. Therefore, a sample weighting scheme has been developed that takes this fact into account and allows us to obtain unbiased estimators of the characteristics of the population surveyed.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: On the strong metric subregularity in mathematical programming
Autorzy:: Osmolovskii, Nikolai P.
Veliov, Vladimir M.
Tematy:: optimization
mathematical programming
Karush-Kuhn-Tucker conditions
metric regularity; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/2183475.pdf Link otwiera się w nowym oknie
Opis:: This note presents sufficient conditions for the property of strong metric subregularity (SMSr) of the system of first order optimality conditions for a mathematical programming problem in a Banach space (the Karush-Kuhn-Tucker conditions). The constraints of the problem consist of equations in a Banach space setting and a finite number of inequalities. The conditions, under which SMSr is proven, assume that the data are twice continuously Fréchet differentiable, the strict Mangasarian-Fromovitz constraint qualification is satisfied, and the second-order sufficient optimality condition holds. The obtained result extends the one known for finite-dimensional problems. Although the applicability of the result is limited to the Banach space setting (due to the twice Fréchet differentiability assumptions and the finite number of inequality constraints), the paper can be valuable due to the self-contained exposition, and provides a ground for extensions. One possible extension was recently implemented in Osmolovskii and Veliov (2021).
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Matheuristics for the Order-picking Problem with Sequence-dependant Constraints in a Logistic Center with a One-directional Conveyor Between Buffers
Autorzy:: Czerniachowska, Kateryna
Wichniarek, Radosław
Żywicki, Krzysztof
Tematy:: order picking
mathematical programming
matheuristics
logistics center
distribution center; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/59112221.pdf Link otwiera się w nowym oknie
Opis:: In the logistics center (warehouse or distribution center), customer orders need to be picked up by the pickers. In this research, we examine the order-picking problem with sequencedependent constraints with two decision variables (container start time and product quantity) in a distribution center with a one-directional conveyor. The decision-making is based on the developed two variations of two-step matheuristics. At first, the main order-picking problem is divided into two subproblems. Next, each step of each variant of the subproblem is solved using a mathematical programming-based technique. Both matheuristics were better in 85 of 120 test instances compared to the initial model solved by mathematical programming. Pickers matheuristics were better on average at 46.56%, while Buffers matheuristics were better on average at 46.87%. The proposed matheuristics approach allows distributors to schedule orders in the logistics center fast enough and with fewer resources.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Optimization programming tools supporting supply chain management
Autorzy:: Szkutnik-Rogoż, Joanna
Małachowski, Jerzy
Tematy:: mathematical programming
optimization
supply chain
programowanie matematyczne
optymalizacja
łańcuch dostaw; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/27311443.pdf Link otwiera się w nowym oknie
Opis:: The issue of transportation is a particular type of mathematical programming that facilitates searching for and determining an optimal distribution network, considering the set of suppliers and recipients. This paper uses a numerical example to present a solution to a transport problem utilizing classical computation methods, i.e., the northwest corner, the least cost in a matrix, and the VAM approximation method. The objective of the paper was to develop tools in the form of algorithms that would then be implemented in three various computing environments (R, GNU Octave, and Matlab) that allow us to optimize transport costs within an assumed supply network. The model involved determining decision variables and indicating limiting conditions. Furthermore, the authors interpreted and visualized the obtained results. The implementation of the proposed solution enables users to determine an optimal transport plan for individually defined criteria.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Lagrange principle and necessary conditions
Autorzy:: Tikhomirov, V.
Tematy:: mathematical programming
convex analysis
calculus of variations
optimal control
Lagrange multiplier rule; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/970737.pdf Link otwiera się w nowym oknie
Opis:: Necessary conditions of extremum (from the times of Fermat and Lagrange till our times) for extremal problems where smoothness is interlaced with convexity, and some type of regularity takes place, correspond to a unique general principle, which is due to Lagrange. This report is devoted to the Lagrange principle in the theory of optimization.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Models of Coal Industry in Poland
Modele sektora węglowego dla Polski
Autorzy:: Suwała, W.
Tematy:: przemysł węglowy
modele sektorowe
programowanie matematycze
coal industry
sectoral models
mathematical programming; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Gospodarki Surowcami Mineralnymi i Energią PAN
Powiązania:: https://bibliotekanauki.pl/articles/216234.pdf Link otwiera się w nowym oknie
Opis:: Development of fuels and energy systems is widely supported bymodels on different levels. Most common are global or country level as well as sectoral ones. Polish energy system depends on hard coal supplies and coal sector models are required tomake valid provisions of energy system development. The paper describes briefly three such models: of coal supplies, coal market and coal supplies for power generation. The first model is devoted to the analysis of coal mining restructuring and development, the sector facing substantial changes in transformation period. The coal market model is of spatial equilibrium type and is used for forecasting coal prices and distribution. Power sector, which produces more than 60% of electricity from hard coal, needs detailed data on supplies perspectives in order to take devoid of risk decisions on investments forced by stringent emissions regulations. The model has been worked out to provide such data.
Podejmowanie decyzji w zakresie rozwoju systemów paliwowo-energetycznych jest szeroko wspierane przez modele o rożnej skali agregacji. Najbardziej popularne są modele poziomu kraju oraz sektorowe. Polski system energetyczny jest zależny od zasilania w węgiel kamienny i stąd potrzeba budowy modeli dla uzyskania wiarygodnych prognoz do optymalnego rozwoju systemu energetycznego. Artykuł opisuje trzy typy modeli dla węgla kamiennego: podaży węgla, rynku węgla i zasilania elektroenergetyki. Pierwszy z modeli podejmuje problemy restrukturyzacji i rozwoju górnictwa węgla kamiennego - sektora, który przechodził zasadnicze zmiany w okresie transformacji gospodarczej. Model rynku węgla buduje równowagę przestrzenną dla oszacowania cen węgla i jego dystrybucji. Elektroenergetyka, produkująca ponad 60% energii elektrycznej z węgla kamiennego, potrzebuje szczegółowych analiz i danych o perspektywach zasilania w węgiel dla podjęcia pozbawionych ryzyka decyzji inwestycyjnych, zwłaszcza podczas zaostrzania regulacji w zakresie emisji. Opracowano odpowiednie modele dostarczające wymaganych danych.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Milk runs model with overtime: application to cluster supply chain
Autorzy:: Tomczak, M.
Bucoń, R.
Tematy:: cluster supply chain
mathematical programming
multi-objective optimization
small and medium enterprises; Pokaż więcej
Wydawca:: Politechnika Lubelska. Wydawnictwo Politechniki Lubelskiej
Powiązania:: https://bibliotekanauki.pl/articles/390975.pdf Link otwiera się w nowym oknie
Opis:: Paper identifies obstacles limiting functioning and development of small and medium construction enterprises. It also includes a description of cluster supply chain (CSC) idea as a suggested solution to some of the problems resulting from the small scale of company activities. One of more important issues of every distribution centre, i.e. portions of deliveries smaller than truck capacity for particular consumers, is also discussed. This problem was formulated for the first time in dairy industry, therefore, it was called milk runs. Moreover, the authors of this paper presented the outcome analysis of survey carried out among construction engineers and managers. This study aimed at determining organizational principles for logistic centre working with CSC framework. The mathematical model depicting milk runs deliveries with overtime consideration, done for many construction sites within a distribution centre is presented hereunder. This model may be potentially used to optimize distribution centres working within cluster supply chain framework.
Dostawca treści:: Biblioteka Nauki

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