People
doc. Ing. Denisa Mocková, Ph.D.

2024, Neural Network World, 34 (3), p. 169-188), ISSN 1210-0552

This paper solves a modified version of the asymmetric traveling salesman problem with the possibility of omitting certain nodes and with a defined time limit for the total travel time, also referred to as the asymmetric orienteering problem (AOP). This problem belongs to the class of NP-hard problems. A proposed mathematical model maximizes the total score gained from visiting nodes within a predefined time limit. The possibility of exceeding the time limit, which results in a penalty to the total score, is also considered. The profitable penalty is examined, i.e., whether accepting the penalty can be advantageous for increasing the total score. The problem is demonstrated in a case study from the ski adventure race, organized in the Jizera Mountains in the Czech Republic.

2024, Proceedings of the International Scientific Conference, Bratislava, Vydavateľstvo EKONÓM), p. 70-77), ISBN 978-80-225-5144-1

Development of transport infrastructure in the Czech Republic is carried out through the implementation of investment projects that can be financed from several sources. The largest source of funding for the development of transport infrastructure in the Czech Republic is the Operational Programme Transport (OPT), which is the focus of this article. Due to the limited budget of available funds a group of experts is established to decide on the selection of projectsfor implementation. By their selection, the experts decide on the funding of projects only in the following year, even though the OPT has a known budget for up to 7 years. The authors of this article have long been involved in the issue of portfolio selection of transport infrastructure projects. This article extends the issue of project selection to the creation of a schedule for its financing within a defined timeframe which could potentially mean a more efficient development of transport infrastructure in the medium-term time horizon. Authors propose a solution to the problem using a genetic algorithm with a matrix encoding of chromosomes, which represents project selection and year of their financing.

2024, Proceedings of the International Scientific Conference, Bratislava, Vydavateľstvo EKONÓM), p. 91-98), ISBN 978-80-225-5144-1

Electricity is one of the most important raw materials that fundamentally affect our daily functioning. Since 2002, the Czech Republic has transformed its electricity market, culminating in 2006 with the possibility for households to choose their supplier and product. In the following years, other suppliers entered the market and electricity production using solar cells on houses or industrial buildings slowly became popular. This option can cover household consumption, especially during summer days, and even generate surpluses that suppliers are obliged to buy and distribute through their grid. The energy market has been dealt a big blow by events in the world, particularly in 2022, which have caused, among other things, large fluctuations in electricity prices. All of these aspects have a major impact on household electricity costs and it is therefore important to choose the best (cheapest) product from the large number of products on offer. In this paper, we consider the choice of product from an electricity supplier in dual tariff rate D25d (for households) using a simulation model. For this tariff, data for 70 different products for each of the three distribution regions in the Czech Republic (Liberec region, South Bohemia region and Prague) for the year 2023 was obtained from a web-based calculator.

2024, Mathematics, 12 (19), p. 1-28), ISSN 2227-7390

The development of transport infrastructure is crucial for economic growth, social connectivity, and sustainable development. Many countries have historically underinvested in transport infrastructure, necessitating more efficient strategic planning in the implementation of transport infrastructure investment projects. This article addresses the selection and scheduling of transport infrastructure projects, specifically within the context of utilizing pre-allocated funds within a multi-annual budget investment program. The current decision-making process relies heavily on expert judgment and lacks quantitative decision support methods. We propose a genetic algorithm as a decision-support tool, framing the problem as an NP-hard 0-1 multiple knapsack problem. The proposed genetic algorithm (GA) is unique for its matrix-encoded chromosomes, specially designed genetic operators, and a customized repair operator to address the large number of invalid chromosomes generated during the GA computation. In computational experiments, the proposed GA is compared to an exact solution and proves to be efficient in terms of quality of obtained solutions and computational time, with an average computational time of 108 s and the quality of obtained solutions typically ranging between 85% and 95% of the optimal solution. These results highlight the potential of the proposed GA to enhance strategic decision-making in transport infrastructure development.

2023, Proceedings of the 41st International Conference on Mathematical Methods in Economics, Praha, Česká společnost pro operační výzkum), p. 123-128), ISBN 978-80-11-04132-8, ISSN 2788-3965

There are various types of warehouses in the logistics chain, one of them are production warehouses. These are warehouses, which storage capacity is used to complete product processes before shipping to the customer or to homogenize the qualitative parameters of the material before processing. This process is called refinement. Typical examples of products that go through the refining process can be found in the food and chemical industry, especially fermentation processes in brewing and distilling, or stabilizing chemical processes in cosmetology. These products usually require transportation to the production warehouse immediately after production, where take place storage with a refining process while observing specific, predefined conditions (for example, a certain temperature or humidity in the warehouse). In these conditions, the products must spend the minimum required time, and in most cases the stay in the warehouse must not exceed the maximum defined time, otherwise the final product could deteriorate. These mentioned factors affect not only the quality of the product, but also the financial complexity of the entire process. This paper deals with the application of the linear programming method for the purpose of optimizing the total costs of production, synchronous warehousing process with the refining process and dispatching finished products to customer using a heterogeneous vehicle fleet.

2023, Proceedings of the 15 th International Conference on Strategic Management and its Support by Information Systems 2023, Ostrava, VŠB – Technical University of Ostrava, Faculty of Economics), p. 121-130), ISBN 978-80-248-4687-3, ISSN 2570-5776

Storage is one of the many processes that take place within logistics chains. It is a process that primarily generates costs, which is why is important to monitor its going regularly and optimize it if necessary. During optimization, various tasks formulated by one or more optimization criteria are pursued. In the presented paper, two parallel tasks are pursued, which do not occur so often, but which are significant from the point of view of practical applications. The first task is the most efficient utilization of storage space capacity. The second task is to consider the amount of bound capital in the stocks. Based on the defined inputs, three optimization approaches based on mathematical programming suitable for solving the formulated problem are presented in this paper. At the end of this paper, the results of each individual optimization approach are compared with each other, and recommendations for the client are formulated.

2023, Proceedings of the 15th International Scientific Conference COMPETITION, Jihlava, Vysoká škola polytechnická Jihlava), p. 180-190), ISBN 978-80-88064-71-8, ISSN 2788-0605

Rozsah a kvalita dopravní infrastruktury má signifikantní dopad na rozvoj společnosti a kvalitu života, zejména pak v oblasti ekonomického rozvoje a zvýšení konkurenceschopnosti. Pro dosažení těchto efektů je třeba investovat značné finanční prostředky do výstavby a modernizace formou realizace investičních projektů dopravní infrastruktury. Výše prostředků určených pro tyto investiční projekty je však zpravidla nižší než náklady na realizaci všech připravovaných staveb, a proto je nutné přistupovat k výběru pouze některých investičních projektů k jejich následné realizaci. Tento výběr musí probíhat tak, aby realizované investiční projekty splňovaly požadavky definované dopravní politikou a pravidly investičních fondů, kde přínosy projektů jsou reprezentovány definovanými indikátory. Za účelem nalezení vyhovujícího rozdělení plnění indikátorů je potom v praktických úlohách často opakováno řešení výběru portfolia se změnou vstupních podmínek. Cílem příspěvku je prezentace možnosti optimalizace portfolia investičních projektů dopravní infrastruktury pomocí přístupu založeného na agregaci optimalizačních kritérií v kombinaci s transformací části optimalizačního kritéria na omezující podmínky. Pomocí tohoto postupu je umožněno zadavateli ovlivnit plnění sledovaných indikátorů apriorními i aposteriorními preferenčními požadavky za účelem dosažení požadovaného rozložení.

2023, Proceedings of the 41st International Conference on Mathematical Methods in Economics, Praha, Česká společnost pro operační výzkum), p. 166-173), ISBN 978-80-11-04132-8, ISSN 2788-3965

Along with the development of the society, emphasis is placed on the moderniza-tion and development of quality transport infrastructure. Investing in infrastructure is implemented using investment projects, which are financed in the vast majority from public sources. The amount of the available budget is usually lower than the amount of funds needed to implement all the projects being prepared, and therefore it is necessary to select a portfolio of investment projects for implementation. Dur-ing the selection process, indicators representing the quantified societal benefits re-sulting from the implementation of projects, as well as their financial demands and the available budget, are assessed. However, the selection is carried out in the initial phase of the preparation of investment projects, and due to the preparation period of several years, the implementation takes place in a few years. The development of the economic situation has been very turbulent and fluctuating in recent years, while the situation at the time of project implementation often does not correspond to the expected market development in the initial phase of project preparation. As a result, the amount of financial indicators and the estimated available budget at the time of implementation are significantly different than what was assumed during the selection. This can have a negative effect on the output of the optimization of the selection of the project portfolio from the point of view of fulfilling the overall societal benefit. The aim of the article is to present an approach to optimizing the selection of a portfolio of transport infrastructure investment projects for implementation, includ-ing elements of uncertainty in the area of the available budget and the estimated amount of funds needed to implement individual investment projects. Uncertainty is modeled using fuzzy logic, and the goal of optimization is to maximize the cumu-lative value of social benefits represented by monitored indicators.

2023, Proceedings of the 15 th International Conference on Strategic Management and its Support by Information Systems 2023, Ostrava, VŠB – Technical University of Ostrava, Faculty of Economics), p. 176-184), ISBN 978-80-248-4687-3, ISSN 2570-5776

The quality of the transport infrastructure has a significant influence on the development of the society, especially in the area of the economy growth. In our conditions, it is necessary to further develop and modernize the infrastructure. For this purpose investment projects are prepared by state management authorities. However, the financial value of all planned transport infrastructure investment projects is usually higher than the available budget, and it is therefore necessary to approach the selection of a portfolio of projects for implementation. The selected projects must meet not only the amount of the budget, but also the requirements arising from the transport policy and the rules of the investment funds represented by the required indicators. In the tasks of optimizing the portfolio of projects, in practice, it is often approached to repeat the selection of the portfolio with modification of the input conditions so that the distribution of the performance of the indicators more closely meets the expert requirements. This can be better solved using evaluation methods, the application of which is, however, lacking in the selection of the project portfolio. The aim of the article is to present a solution to the task of optimizing the selection of a portfolio of transport infrastructure investment projects using the STEM method. This interactive method based on the alternation of computing and decision-making phases enables the application of expert requirements during the calculation in order to find the optimal solution in cases where not all combinations of fulfilment of the monitored indicators are known in advance.

2022, MME2022 : Proceedings of the 40th International Conference on Mathematical Methods in Economics, Jihlava, Vysoká škola polytechnická Jihlava), p. 366-373), ISBN 978-80-88064-62-6

The basic aspect of public transport in terms of its use must be its attractiveness for passengers. If it is not possible to provide a direct connection for each passenger, discomfort must be minimized for passengers who will have to change during the transport process. Their discomfort can be reduced by shortening the time they must wait for the consequent connection. Reducing the waiting time during transfers can be achieved mainly by a higher level of network coordination of connections. The given problem can be solved as an optimization task. The motivation for the article is the specific nature of the timing of connections in the Prague public transport system, where coordination between subway and bus lines is required on weekends. For the bus lines, the so-called periodically alternating headway is applied on weekends. The connections are run at 7- and 8-minute headways, and this sequence is repeated regularly throughout the weekend. The optimization criterion is the total time loss of transferring passengers in all transfer nodes. The value of the total time loss is minimized. The computational experiment was realized in the Xpress-IVE optimization software.

2022, QUANTITATIVE METHODS IN ECONOMICS (Multiple Criteria Decision Making XXI), Bratislava-Nové Mesto, Letra Edu), p. 188-195), ISBN 978-80-89962-93-8

The basic aspect of public transport in terms of its use must be its attractiveness to passengers. Attractiveness is characterized by many factors. One of them is, for example, the offer of a direct connection. However, it is not always possible to provide a direct connection. In this case, passenger transfers cannot be avoided. During transfers, it is important that passengers do not wait unnecessarily for consecutive connections. The presented article deals with the issue of network coordination of tram connections in the Ostrava public transport system. The optimization criterion is the total time loss of transferring passengers in all nodes in which there is a transfer between tram lines.

2022, MME2022 : Proceedings of the 40th International Conference on Mathematical Methods in Economics, Jihlava, Vysoká škola polytechnická Jihlava), p. 129-134), ISBN 978-80-88064-62-6

An important group of operations taking place in distribution parts of logistics chains is the completion of consignments. It is usually necessary to decide in which warehouse the completion of consignments will take place if distribution systems contain several warehouses. The decision of the place of completion is influenced by location of the required items in individual warehouses and by quantity of the required items in the warehouses. The presented paper deals with the problem of location of multiple completion centres with limited capacity in the conditions of a distribution system containing several warehouses, with stored items divided into several size categories. It is possible to store items of the same size in several warehouses and a vehicle fleet is heterogeneous. The problem is conceived as an optimization problem, which is solved by the methods of mathematical programming. When creating a mathematical model, the knowledge from the field of transport and location tasks is used. A computational experiment will be performed with the proposed model, and it will be performed for several numbers of warehouses to be completion.

2022, QUANTITATIVE METHODS IN ECONOMICS (Multiple Criteria Decision Making XXI), Bratislava-Nové Mesto, Letra Edu), p. 76-81), ISBN 978-80-89962-93-8

Distribution of goods to the final customer is the last link in the logistics chain. This is a topical and important issue, as the efficiency of the distribution processes can have a significant positive effect on the economy of the whole chain. The processes taking place in the parts of the logistics chains dealing with the distribution of goods can be of a different nature. The reasons for the different nature of processes may be specific requirements for the process of completion of goods before final shipment, specific requirements for the final shipment process depending on the type of goods removed, end customer service technology resulting from their specific requirements for delivery dates, number of units, periodicity of service, etc. The presented article deals with the task of selecting the distribution warehouse of the final shipment in the conditions of a distributor with whom orders are placed electronically (in virtual reality). The problem is conceived as an optimization problem, which is solved by methods of mathematical programming. The optimization criterion is the cost of completing customer orders. When creating a mathematical model, knowledge from the field of transport and location tasks is used. Computational experiments will be performed with the proposed model. Computational experiments will be performed for different numbers of warehouses, while only one of them will be designated for the final shipment.

2021, MME2021 : Proceedings of the 39th International Conference on Mathematical Methods in Economics, Praha, Czech University of Life Sciences Prague), p. 487-492), ISBN 978-80-213-3126-6

Time coordination of connections in transfer nodes is one of the basic pillars of attractive public transport. Coordination of the connections must be implemented in such a way as to ensure not only the continuity between the required connections, but also that the operating conditions of the public transport provider are not adversely affected. Coordination is also not usually limited to an isolated transport node, because there are more transfer nodes in the network of public transport lines. The presented article contains a mathematical model mixing node and section time coordination of connections in public transport system at the same time. Factors that affect the coordination process are discussed and some problems that occur when solving tasks of time coordination using mathematical models are pointed out.

2020, Logos Polytechnikos, 11 (3), p. 28-45), ISSN 2464-7551

Článek se věnuje vymezení pojmu nádražních budov z hlediska platné legislativy a dalších metodických dokumentů. Dále je provedeno vymezení, jaké typy prostor v těchto budovách jsou a k jakým účelům slouží. Speciální pozornost je pak věnována prostorám, které jsou využívány komerčně a za jejichž využití jsou vybírány poplatky či nájem. Je vysvětlena problematika financování investic do těchto komerčních prostor, které jsou v majetku státu. Možnosti financování jsou v článku vymezeny ve vazbě na platné předpisy týkající se veřejné podpory a na metody posuzování existence zakázané veřejné podpory při financování tohoto typu prostor. Je popsán způsob výpočtu podílu komerčních prostor v jednotlivých budovách. Článek dále popisuje způsob aplikace tzv. finanční mezery při financování a věnuje se způsobu aplikace metody „test soukromého investora“ při posuzování veřejné podpory a to, jak lze tuto metodu aplikovat na nádražní budovy a jakým způsobem lze provést výpočet testu. Je provedeno vyhodnocení aplikace testu soukromého investora na případové studii Správy železnic, s.o. a jsou uvedeny problematické body této případové studie.

2020, Proccedings of 38th Int. Conf. MME 2020, Brno, Provozně ekonomická fakulta), p. 585-591), ISBN 978-80-7509-734-7

Tram transport infrastructure and its subsequent operation is a very costly matter for each transport operator. It is therefore purposeful for the infrastructure to be built only to the extent which is necessary. The article deals with the optimisation of the necessary number of shunting tracks under predefined volume of tram transport which is given by the number of tram lines and a frequency of their connections. This is a problem that is specific to rail transport, when changing the order of individual vehicles is organizationally complicated and is feasible only with appropriate construction of the rail yard (so called turning loops), in some cases it is not possible at all. One of the ways how to reduce the number of necessary shunting tracks at tram turning loops is to adjust the arrival and departure times of tram vehicles serving the individual lines - time coordination. Mathematical programming will be used to deal with the problem.

2020, Quantitative Methods in Economics : Multiple Criteria Decision Making XX : proceedings of the international scientific conference, Bratislava-Nové Mesto, Letra Edu), p. 333-342), ISBN 978-80-89962-60-0

Each transport mode needs a specific infrastructure to be operated. The same applies to tram transport. An integral part of the tram infrastructure is formed by shunting tracks at turning loops. The turning loops can have a variety of configurations (shapes). The shape depends primarily on the tram traffic volume. The construction of the tram infrastructure (including the turning loops) and their subsequent operation is very expensive for each tram transport operator. In addition, to the need for building a higher number of shunting tracks, the number of switches included at the turning loop etc. is higher. In addition to the construction costs, the maintenance costs for the turning loop increase proportionally as well. The article deals with the possibility of reducing the number of the shunting tracks. One of the ways how to reduce the number of necessary shunting tracks at the turning loop is to coordinate the arrivals and departures of individual tram connections. Mathematical programming can be used to deal with the coordination problem. Presenting a simple example, the article shows a basic principle of the positive impact of coordination on the necessary number of the shunting tracks at the turning loops.

2020, Sborník příspěvků z 12. ročníku mezinárodní vědecké konference KONKURENCE, Jihlava, Vysoká škola polytechnická Jihlava), p. 293-303), ISBN 978-80-88064-52-7

Hospodaření s majetkem státu a hodnocení investic do tohoto majetku se obecně řídí principy, které zohledňují především společenské přínosy související s vynaloženými prostředky. V případě některých typů nemovitostí se však v jednom objektu potkávají jak investice, které je nutné hodnotit z hlediska jejich společenských přínosů a veřejného zájmu, tak investice, které jsou využity ke komerčním účelům, a na jejich rozvoj s použitím veřejných prostředků je nutné pohlížet také s ohledem na existující konkurenční prostředí, relevantní trh a možnost jeho narušení. Cílem příspěvku je analýza legislativních předpisů, které vymezují typy prostor v nádražních budovách a jejich vztah ke zdrojům financování, a dále je cílem nalezení metody pro hodnocení možné veřejné podpory a způsob aplikace této metody.

2019, Neural Network World, 29 (3), p. 173-187), ISSN 1210-0552

This paper focuses on the continuous location-routing problem that comprises of the location of multiple depots from a given region and determining the routes of vehicles assigned to these depots. The objective of the problem is to design the delivery system of depots and routes so that the total cost is minimal. The standard location-routing problem considers a finite number of possible locations. The continuous location-routing problem allows location to infinite number of locations in a given region and makes the problem much more complex. We present a genetic algorithm that tackles both location and routing subproblems simultaneously.

2019, Proceedings of the 13th International Conference on Strategic Management and its Support by Information Systems, Ostrava, VŠB – Technical University of Ostrava, Faculty of Economics), p. 310-317), ISBN 978-80-248-4306-3, ISSN 2570-5776

Storages play an important role in logistical chains. There are many types of warehouses fulfilling different functions in the logistical chains. One type of the warehouses is a so-called production warehouse. We can meet with the production warehouses in production processes that are composed of the two following phases. The first phase is production of products themselves and the second phase is refinement of the products. The refinement process must be adapted in cases when the products do not meet requested quality standards after their producing. Refinement is typical for food industry. Many products of food industry must spend a certain time in the production warehouse - we can mention for example ripping cheese, dried meat and so on. The production processes of such foodstuffs require that their storing in the production warehouse must meet pre-defined conditions. Based on the conditions minimal times of storage are determined. In addition, it is not usually acceptable that there is a positive time delay between finishing the production phase and beginning the warehousing phase because such delay may spoil the products. And finally, some products must not be stored in the production warehouse longer than a pre-defined maximal time. All the mentioned factors may influence decisions of managers who plan the production processes. In the article we present a mathematical model of the production warehouse; the model coordinates storage in the warehouse and shipping from it so that the predefined minimal and maximal time the products must spend in the warehouse are met.

2019, Proceedings of 37th International Conference on Mathematical Methods in Economics 2019,, České Budějovice, Jihočeská universita v Českých Budějovicích), p. 228-233), ISBN 978-80-7394-760-6

In the transportation problem we decide about amounts of the commodity transported between the individual sources and destinations so that the total transportation costs are as minimal as possible. However, in real distribution systems which can be optimized by using the transportation problem some time constraints may arise. The time constraints may be defined for the sources or for the destinations; the constraints can be represented for example by opening hours of the sources or the destinations. Another time factor which may play an important role in the optimization process is represented by time durations of different operations which vehicles transporting the commodity must undergo in the distribution system - we can mention for example loading times, unloading times and so on. The basic transportation problem cannot deal with the additional time constraints. In the modified model we do not want to minimize only the total transportation costs but also additional costs resulting from delay times of the vehicles waiting for unloading. Such modification of the transportation problem can be named as the transportation problem with time windows.

2019, Sborník příspěvků z 11. ročníku mezinárodní vědecké konference Konkurence, Jihlava, Vysoká škola polytechnická Jihlava), p. 51-62), ISBN 978-80-88064-44-2

Konkurenceschopnost podniků obecně úzce souvisí s cost-managementem, jehož smyslem je řídit náklady tak, aby podnikové procesy vykazovaly maximální efektivitu. Jednou z možností, jak snižovat náklady při současném zachování podstatných, zejména kvalitativních parametrů podnikových procesů, je využití optimalizačních metod. Jednou z úloh, kde optimalizace představuje podporu rozhodování v delším časovém horizontu, je lokační úloha zaměřená na budování nebo reorganizaci distribučního systému. Lokační úloha zohledňuje při optimalizaci náklady na přepravu a fixní náklady obslužných zařízení. Toto pojetí nákladů není z hlediska praxe zcela vyhovující. Článek prezentuje přístupy, které umožní zvolit vhodnou variantu modelu lokační úlohy v závislosti na používaných kalkulačních postupech a způsobech řízení nákladů. Takto vybraný model bude lépe odrážet ekonomickou realitu, nebude zvyšovat administrativní zátěž a tím přispěje ke zvýšení efektivity a konkurenceschopnosti.

2018, Quantitative Methods in Economics (Multiple Criteria Decision Making XIX), Bratislava, University of Economics in Bratislava), p. 373-379), ISBN 978-80-89962-08-2

Facility location problems belong to a group of basic tasks that are solved within distribution logistics. Previously published models consider investment costs that are incorporated into the total costs of the distribution system but do not take into account the volume of goods that are distributed via the warehouse. However, in practice this simplification is incorrect. It is usual for investment costs to be stepped and linked to the volume of goods that go through the warehouse. In this article, a model of such a distribution system is presented and selected results of calculation experiments carried out in order to test the functionality of the proposed mathematical model are demonstrated.

2018, 36th International Conference Mathemtical Methods in Economics: Conference Proceedings, Praha, MATFYZPRESS, vydavatelství Matematicko-fyzikální fakulty UK), p. 579-584), ISBN 978-80-7378-371-6

Logistic chains must be planned efficiently and economically. Effectiveness demands goods being delivered to the required quality while economic criteria ask for delivery of goods at minimal cost. The following article considers the economic facets of the delivery process as expressed against the total costs of the process. Operation research methods, specifically mathematical programming models, will be used to calculate economic optimization scenarios. A range of distribution problems can be calculated by means of mathematical programming. Mathematical models applied to various problems may differ: some variants of the problems include locations of warehouses which are known; for others warehouse locations must be determined. In addition, particular customers may require deliveries from different locations at the same time; other customers may restrict deliveries to a single supplier. This article examines a problem in which warehouse locations must be determined (potential locations are known) and each customer may only take delivery from a single (operational) storage point. This type of problems is termed a facility location problem. In the course of this problem it shall be assumed that storage points at each location may be set up in any of multiple variants, which differ in capacity and subsequent associated setup costs. The optimization criteria taken into account will be the total costs for setting up a warehouse, its maintenance and cargo delivering. In addition to these cost criteria, the problem will take into account a second variable expressing the worst (maximum) time availability. A requirement for minimization will be set for both criteria. The STEM methodology will be used for calculations.

2018, 2018 Smart City Symposium Prague, New York, IEEE Press), p. 1-5), ISBN 978-1-5386-5017-2

This article deals with optimizing the location of remote DSLAMs in the electronic communication network within the existing infrastructure. Based on selecting the most appropriate location for one or more rDSLAMs (remote Digital Subscriber Line Access Multiplexer) and the assigned attraction zone, the number of participants was maximized for the specified distance in order to achieve the highest possible transmission speed. The article provides an example the village while taking into consideration the aspect of the financial costs of its implementation. The proposed solution can be used for territorial units, small villages and towns with a population of up to 3,000 inhabitants. In practice, in the Czech Republic it could be used for about 200 towns and 5,800 villages. In larger towns with brick or concrete high-rise blocks of flats, there is a high probability of connecting directly to the optical network FTTH (FTTH - Fiber to the Home, FTTB – Fiber to the Building) where there is already a number of different providers and types of internet connection.

2017, 2017 Smart Cities Symposium Prague (SCSP) - IEEE PROCEEDINGS, New York, IEEE Press), ISBN 978-1-5386-3825-5

This contribution deals with the results of testing a theoretical model for the calculation of slow vehicle travel times using alternative routes, which have been published in the article “A Theoretical Model for the Calculation of Slow Vehicle Travel Times on Designated Routes” intended for “The Transport Means 2016 conference”. It is a summary of field measurements which were carried out on two sections of actual alternative routes in order to verify the model. Also, the development of an application for testing the model is described in the article. The application was designed in such a way as to allow entering and evaluation of proposed alternative routes by means of an intuitive environment. Subsequently, the model was calibrated using the measured values acquired during field research and verified in order to prove its general relevance to the calculation of travel times.

2017, Mathematical Methods in Economics MME 2017, Hradec Králové, Univerzita Hradec Králové), p. 789-794), ISBN 978-80-7435-678-0

The transportation problem belongs to one of specialized problems of operations research. Its basic form is devoted to optimisation of transportation plans – how to supply customers from storehouses with homogeneous types of consignments. An isolated solution for the individual types of the trips of such transportation problem is not suitable because decomposition does not assure optimality of such solution. The presented article presents a model in which all the mentioned trip types are mutually interconnected. That means a solution got by the mathematical model is optimal. The article is focused on an example with any number of the vehicles, all the vehicles have the same depot where they are parked and the capacity of all the vehicles is assumed to be 1. That means, for example, each vehicle can carry a container.