scholarly journals Mathematical modeling of multimodal transportation in Ukraine using methods of the graph theory

2021 ◽  
Vol 255 ◽  
pp. 01030
Author(s):  
Iryna Perevozova ◽  
Svitlana Minakova ◽  
Khrystyna Obelnytska ◽  
Liliya Mykhailyshyn ◽  
Olena Morozova

One of the problems of modernizing multimodal transportation of goods in post-Soviet countries is the optimization of the transport supply chain. This requires, in particular, a software package that is to be adapted to local conditions, to the expanded set of risks and the need, in general, to perform optimization on the base of fuzzy data. When choosing the objective function, it is necessary to take into account not only the cost of the specific option of route, the time of transportation, but also the degree of reliability of both the contractors and the infrastructure. For creating a mathematical model were used graph theory and fuzzy logic. Separate types of transport are considered as directed graphs. The set of directed graphs of modes of transport is a multidimensional graph, under the presence of connecting arcs between their nodes. These nodes represent the points of transshipment. The software package assesses the reliability of each section of the supply chain. The developed software package using the proposed mathematical model will allow improving multimodal transportation of goods.

Author(s):  
Yu.S. Chirikanova ◽  

The paper deals with the problem of mathematical modeling of biological wastewater treatment. The peculiarity of the biological treatment system is that a block with activated sludge, called an aeration tank, is used for water purification. To describe the process of biological wastewater treatment in aeration tanksa mathematical model developed in the GPS-X software package is proposed.


2017 ◽  
Vol 28 (5) ◽  
pp. 821-833
Author(s):  
Anil Kumar Dixit ◽  
Manmatha K. Roul ◽  
Bikash C. Panda

Abstract The property of low thermal transmission of the small air gap between the constituents of combined material has been utilized to obtain energy-efficient wall sections. Ferro-cement is a highly versatile form of reinforced concrete made up of wire mesh, sand, water, and cement, which possesses unique qualities of strength and serviceability. The significant intention of the proposed technique is to frame a mathematical model with the aid of optimization techniques. Mathematical modeling is done by minimizing the cost and time consumed in the case of extension of the existing work. Mathematical modeling is utilized to predict the temperature of different walls such as reinforced cement concrete (RCC) wall, ferro-cement, combined RCC with ferro-cement, and combined ferro-cement wall. Different optimization algorithms such as social spider optimization (SSO) and genetic algorithm are utilized to find the optimal weights α and β of the mathematical modeling. All optimum results demonstrate that the attained error values between the output of the experimental values and the predicted values are closely equal to zero in the designed model. The proposed work is compared to the existing method, and from the results, the minimum error of 97.188% is determined by mathematical modeling in the SSO algorithm.


2017 ◽  
Vol 1143 ◽  
pp. 180-187
Author(s):  
Marian Iulian Neacsu ◽  
Sorin Dobrovici

This paper presents the experiment-based mathematical modelling of fluidized bed carbonitriding process for 1C 25 steel meant to optimize this type of thermochemical processing.Based on experimental results, the mathematical model was developed, which is a second order equation with three unknown terms (parameters): temperature, depth of carbonitrided layer, the percentage of ammonia.The mathematical model allowed the simulation of the fluidized layer carbonitriding process according to its parameters and the thermal energy optimization for obtaining HV hardness values in the range 300-400 MPa.Using the software package Matlab a graphical interface was done, through which all the combinations of technological parameters of the carbonitriding process are determined, leading to obtaining values of microhardness between 300 and 400 MPa, as well as the amount of energy consumed for each variant. The variant consuming the lowest energy is considered optimal.


Author(s):  
Anton Holkin ◽  
Aleksandr Pavlov

This article describes a simulation model of a road section in the city of Kazan, created using the AnyLogic simulation modeling system. The process of creating a simulation model, optimization by AnyLogic SIM tools is described, a mathematical model of the flow of cars is constructed based on the results of a simulation experiment using the STATISTICA 10 software package.


2019 ◽  
Vol 6 (2) ◽  
pp. 63-70
Author(s):  
Denis lgorevich Smagin ◽  
Konstantin lgorevich Starostin ◽  
Roman Sergeevich Savelyev ◽  
Anatoly Anatolyevich Satin ◽  
Alexey Andreevich Pritulkin ◽  
...  

The application of mathematical model of power supply system of perspective long-haul passenger aircraft for the analysis of failure situations is Considered. The results of modeling of failure situations (only failures of generators are considered) for the system of generation and distribution of alternating current are given, the features of mathematical modeling of the power supply system are shown.


2016 ◽  
Vol 5 (6) ◽  
pp. 108 ◽  
Author(s):  
Raed Al-Hussain ◽  
Reza Khorramshahgol

Applying mathematical modeling to solve swap problems, specifically in the petroleum industry, have proven to help the decision makers to better determine what, where, and how much to swap in order to reduce supply chain (SC) costs and improve its surplus. However, for a better determination of the alternatives and a more profound evaluation of the tradeoffs among them, a comprehensive analysis of the results and a thorough investigation of their impact on the parties involved in swap are crucial. This research performs a detailed sensitivity analysis of the swap problem to examine the effect of different operational parameters on the cost savings realized along the supply chain of the organizations involved in swap. Findings of this study suggest that, if performed properly, swap can significantly reduce supply chain costs and may result in substantial savings, creating a win-win situation for all parties engaged in swap.


2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
A. Thangam

Although a smoothly running supply chain is ideal, the reality is to deal with imperfectness in transportations. This paper tries to propose a mathematical model for a supply chain under the effect of unexpected disruptions in transport. Supplier offers the retailer a trade credit period and the retailer in turn offers his customers a permissible delay period. The retailer offers his customers a credit period and he receives the revenue from to , where is the cycle time at the retailer. Under this situation, the three cases such as , , and are discussed. An EPQ-based model is established and retailer's optimal replenishment policy is obtained through mathematical theorems. Finally, numerical examples and sensitivity analysis are presented to felicitate the proposed model.


Kybernetes ◽  
2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Dan Tang ◽  
Xintian Zhuang

Purpose Blockchain-driven supply chain finance (BCT-SCF) has recently been receiving increased global attention. A number of business programmes have been carried out using this approach, but existing research has rarely focussed on this novel SCF model. This paper aims to fill this gap by proposing a mathematical model to analyse the value of BCT-SCF. Design/methodology/approach First, this paper considers a multi-period two-echelon supply chain consisting of a capital-constrained supplier and a newsvendor-like retailer. Then, two financing channels are proposed. The supply chain actors can either factor accounts receivable (AR) from a bank or obtain financing through a BCT-SCF platform by which AR can be converted into a bill receivable and used to make payment. Further, to investigate the preferences of all actors between the two financing channels, this paper compares the two channels and examines how the degree of financial constraints and the cost of implementing the BCT-SCF model impact the financing preferences of all actors. Findings BCT-SCF model can help a supply chain realise its optimisation both in production and financing efficiency, the preference for the BCT-SCF model increases as the initial capital of supplier and the BCT-SCF platform usage fee rate decrease. Practical implications This research bridges the gap between theoretical analysis of BCT-SCF and its realistic application. The results demonstrate that with the BCT-SCF model, a win-win situation among supply chain actors is possible, which is helpful for the supply chain to choose a more efficient financing channel. Originality/value This research introduces a mathematical model based on the “receivable chain” of CZBank and the model is set in a multi-period supply chain, which is the first time BCT-SCF has been considered as part of a more complex but realistic background setting.


Author(s):  
D. I. Smagin ◽  
K. S. Napreenko ◽  
R. S. Savel’ev ◽  
S. V. Grachev

The process of creating an accident-resistant fuel system (AFS) of a helicopter using mathematical modeling is considered. Possibility of applying optimization algorithms in mathematical modeling of parameters of units of accident-resistant fuel system of helicopter in domestic software complex SimInTech is studied. An approach to solving the problem of optimizing given parameters, both in theory and in practice, is described. Results of the simplest optimization of AFS parameters for nominal operation mode are covered, examples of algorithms for selection of unit parameters are shown. This method of researching the system will allow, with a high degree of accuracy, to determine the necessary parameters at the design stage of the system. It is worth noting that the functionality of the developed dynamic mathematical model in the SimInTech software package is sufficient to perform tasks not only of the conceptual design stage, but also of the subsequent stages of the AFS life cycle.


2019 ◽  
Author(s):  
Christopher R Madan ◽  
Aubrey Knight ◽  
Elizabeth Kensinger ◽  
Katherine Mickley Steinmetz

In recognition memory paradigms, emotional details are often recognized better than neutral ones, but at the cost of memory for peripheral details. We previously provided evidence that, when peripheral details must be recalled using central details as cues, peripheral details from emotional scenes are at least as likely to be recalled as those from neutral scenes. Here we replicated and explicated this result by implementing a mathematical modeling approach to disambiguate the influence of target type, scene emotionality, scene valence, and their interactions. After incidentally encoding scenes that included neutral backgrounds with a positive, negative, or neutral foreground objects, participants showed equal or better cued recall of components from emotional scenes compared to neutral scenes. There was no evidence of emotion-based impairment in cued recall in either of two experiments, including one in which we replicated the emotion-induced memory trade-off in recognition. Mathematical model fits indicated that the emotionality of the encoded scene was the primary driver of improved cued-recall performance. Thus, even when emotion impairs recognition of peripheral components of scenes, it can preserve the ability to recall which scene components were studied together.


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