GUARANTEED RESULT IN GROUP APPROACH GAME PROBLEMS OF CONTROLLED OBJECTS

2021 ◽  
Vol 5 ◽  
pp. 57-71
Author(s):  
Arkady Chikriі ◽  
◽  
Iosif Rappoport ◽  
◽  
Keyword(s):  
Sufficient Conditions ◽  
Threshold Value ◽  
Multivalued Mappings ◽  
Main Principle ◽  
Group Approach ◽  
Modern Technique ◽  
Pontryagin Condition

The problem of a guaranteed result in game problems of group approach of controlled objects is considered. A method for solving such problems is proposed, which is associated with the construction of some scalar functions that qualitatively characterize the progress of the approach of a group of controlled objects and the efficiency of the decisions made. Such functions are called resolving functions. The attractiveness of the method of resolving functions lies in the fact that it makes it possible to use effectively the modern technique of multivalued mappings and their selection in substantiating game constructions and obtaining meaningful results on their basis. In any form of the method of resolving functions, the main principle is the accumulative principle, which is used in the current summation of the resolving functions to assess the quality of the game of the group approach until a certain threshold value is reached. In contrast to the main scheme of the mentioned method, the case is considered when the classical Pontryagin condition does not hold. In this situation, instead of Pontryagin’s selection, which do not exist, some shift functions are considered and, with their help, special multivalued mappings are introduced. They generate upper and lower resolving functions with the help of which sufficient conditions for the completion of the game of group approach in a certain guaranteed time are formulated. Comparison of guaranteed times for different schemes of group approach of controlled objects is given.

scholarly journals Survival analysis of a stochastic delay single-species system in polluted environment with psychological effect and pulse toxicant input

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Xiangjun Dai ◽  
Suli Wang ◽  
Weizhi Xiong ◽  
Ni Li
Keyword(s):  
Sufficient Conditions ◽  
Single Species ◽  
Threshold Value ◽  
Psychological Effect ◽  
Polluted Environment ◽  
Population System ◽  
Stochastic Delay ◽  
Species Population ◽  
The Mean ◽  
Single Species Population

Abstract We propose and study a stochastic delay single-species population system in polluted environment with psychological effect and pulse toxicant input. We establish sufficient conditions for the extinction, nonpersistence in the mean, weak persistence, and strong persistence of the single-species population and obtain the threshold value between extinction and weak persistence. Finally, we confirm the efficiency of the main results by numerical simulations.

Ultrajet Mesodiagnostic Probabilistic Model for Surface Layer’s Variable Defectiveness of Complex Technology Products

2021 ◽  
Vol 882 ◽  
pp. 289-295
Author(s):  
Andrey Leonidovich Galinovskiy ◽  
Aleksandr Aleksandrovich Barzov ◽  
Mary Alekseevna Prokhorova
Keyword(s):  
Surface Layer ◽  
Sufficient Conditions ◽  
Calculated Data ◽  
Hydrodynamic Effect ◽  
Topographic Features ◽  
Technology Products ◽  
Complex Technology ◽  
Materials Used ◽  
Necessary And Sufficient

Technologically, ultrajet mesodiagnostics (UJM) consists of local hydroerosive indentation by ultrajets (UJ) of water on the surface of the analyzed object (OA) and the subsequent study of the results of this minimally invasive microdestructive effect on its surface layer. Obviously, mathematical models’ construction of the functional relationship between the informative-physical signs of hydroerosive UJ destruction and the surface layer’s state parameters of various OA, primarily their defectiveness, is very important for the development of this potentially promising technology for ensuring the quality of critical products, mainly aviation and other industries. In this regard, the work proposes a probabilistic UJM model, which consists of analyzing the kinetics of the formation of an aggregate set of eroded particles, as a process caused by a combination of appropriate necessary and sufficient conditions for its implementation. The former include the topographic features of the microdefectiveness’ characteristics of the surface layer material, and the latter consist of a certain variational-force hydrodynamic effect of the diagnostic UJ on it. This approach made it possible to obtain calculated data related to probabilistic distribution of the UJ-eroded particles’ sizes of hypothetical OA, as a coordinate function describing the microdefects’ concentration in its surface layer. These functions are close to the available results of experimental UJM of typical and promising materials used in the manufacture of machinery technology.

scholarly journals Analytical Aspects of Distributed MPC Based on an Occupancy Grid for Mobile Robots

2020 ◽  
Vol 10 (3) ◽  
pp. 1007
Author(s):  
Tobias Sprodowski ◽  
Jürgen Pannek
Keyword(s):  
Sufficient Conditions ◽  
Distributed Model ◽  
Continuous Space ◽  
Occupancy Grid ◽  
Distributed Model Predictive Control ◽  
Prediction Horizon ◽  
Shared Space ◽  
Control Scheme ◽  
Street Traffic

In this paper, we evaluate theoretical aspects of a distributed system of noncooperative robots controlled by a distributed model predictive control scheme, which operates in a shared space. Here, for collision avoidance, the future predicted state trajectories are projected on a grid and exchanged via discrete cell indexes to reduce the communication burden. The predicted trajectories are obtained locally by each robot and carried out in the continuous space. Therefore, the quantisation does not impose the quality of the solution. We derive sufficient conditions to show convergence and practical stability for the distributed control system by using an idea of a temporary roundabout derived from crossing patterns of street traffic rules, which is established in a fixed and flexible circle size. Furthermore, a condition for the sufficient prediction horizon length to recognise necessary detours is presented, which is adapted for the occupancy grid. The theoretical results match with the trajectory patterns from former numerical simulations, showing that this pattern is naturally chosen as an overall solution.

Region of Interest-Based Coding Technique of Medical Images Using Varying Grading of Compression

2020 ◽  
pp. 2150021
Author(s):  
Urvashi Sharma ◽  
Meenakshi Sood ◽  
Emjee Puthooran
Keyword(s):  
Medical Image ◽  
Region Of Interest ◽  
Block Size ◽  
Threshold Value ◽  
Hospital Performance ◽  
Jpeg 2000 ◽  
Compression Method ◽  
Compression Efficiency ◽  
Important Region

A region of interest (ROI)-based compression method for medical image datasets is a requirement to maintain the quality of the diagnostically important region of the image. It is always a better option to compress the diagnostic important region in a lossless manner and the remaining portion of the image with a near-lossless compression method to achieve high compression efficiency without any compromise of quality. The predictive ROI-based compression on volumetric CT medical image is proposed in this paper; resolution-independent gradient edge detection (RIGED) and block adaptive arithmetic encoding (BAAE) are employed to ROI part for prediction and encoding that reduce the interpixel and coding redundancy. For the non-ROI portion, RIGED with an optimal threshold value, quantizer with optimal [Formula: see text]-level and BAAE with optimal block size are utilized for compression. The volumetric 8-bit and 16-bit standard CT image dataset is utilized for the evaluation of the proposed technique, and results are validated on real-time CT images collected from the hospital. Performance of the proposed technique in terms of BPP outperforms existing techniques such as JPEG 2000, M-CALIC, JPEG-LS, CALIC and JP3D by 20.31%, 19.87%, 17.77%, 15.58% and 13.66%, respectively.

scholarly journals Assessment of the Presence of Total Aflatoxins and Aflatoxin B1 in Fish Farmed in Two Cameroonian Localities

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Julie J. Tsafack Takadong ◽  
Hippolyte T. Mouafo ◽  
Linda Manet ◽  
Annick M. B. Baomog ◽  
Jorelle J. B. Adjele ◽  
...  
Keyword(s):  
Fish Species ◽  
Fish Farming ◽  
Threshold Value ◽  
Fish Tissue ◽  
Competitive Elisa ◽  
Elisa Method ◽  
Fish Feeds ◽  
Aflatoxin B ◽  
State Of Art

This work aimed at assessing the presence of total aflatoxins (AFs) and aflatoxin B1 (AFB1) in fish farmed in two Cameroonian localities and the possible origin of that contamination through analysis of fish feeds as well as water and mud collected from the fish farming ponds. Four fish species (kanga, tilapia, catfish, and carp) were collected from two fish farming sites (Mfou and Batié). Mud and water from the farming ponds of the different species and the fish feeds used in these sites were also collected. The samples (34) were analyzed for their levels of AFs and AFB1 using the competitive ELISA method. The results obtained showed that all fish tissue contained AFs and AFB1. A level of AFs higher than the threshold value recommended by the FDA (20 ppb) was observed in catfish (31.38±0.29 ppb). AFs and AFB1 were presented in fish feeds as well as in muds collected from the farming ponds. Catfish was the fish species which mostly bioaccumulated aflatoxins in their tissue. This study presents the state of art on the mycotoxin contamination of fish farmed in some Cameroonian localities and suggests that attention should be paid to the quality of ingredients used to feed fish.

DEFORMATION ANALYSIS OF H62 Cu ALLOY FOIL SUBJECTED TO MULTI-PULSED LASER DYNAMIC FORMING: SIMULATIONS

2019 ◽  
Vol 27 (02) ◽  
pp. 1950102
Author(s):  
JIE GENG ◽  
FENGZE DAI ◽  
XUDONG REN ◽  
JINZHONG LU ◽  
SHU HUANG
Keyword(s):  
Peak Pressure ◽  
Threshold Value ◽  
Deformation Analysis ◽  
Forming Quality ◽  
Fracture Threshold ◽  
Cu Alloy ◽  
Alloy Foil ◽  
Forming Simulations ◽  
Abaqus Software

By utilizing the ABAQUS software, this paper simulates and analyzes the forming of the H62 foil subjected to multi-pulse laser dynamic forming (LDF). The Johnson–Cook failure mode is adopted to predict the fracture threshold value of the H62 foil. Compared with the single-pulsed LDF, the multi-pulsed LDF improves the limit depth and forming quality of the foil effectively. With the increase of impact number, the uniformity of foil is effectively improved. Appropriate peak pressure and impact number are important to increase limit forming depth and improve forming quality.

Empathy, Honesty, and Integrity in the Therapist

2020 ◽  
Author(s):  
Jeffrey H. D. Cornelius-White ◽  
Gillian Proctor
Keyword(s):  
Sufficient Conditions ◽  
Therapist Attitudes ◽  
Carl Rogers ◽  
Empathic Understanding ◽  
Unconditional Positive Regard ◽  
Therapy Relationship ◽  
Necessary And Sufficient ◽  
Fully Functioning

Empathy, honesty, and integrity are essential concepts to ensure the quality of the therapy relationship and the client’s trust in the therapist. This chapter situates these concepts in relation to the necessary and sufficient conditions for therapy proposed by Carl Rogers in the late 1950s, and particularly in relation to the therapist attitudes of empathic understanding, unconditional positive regard, and congruence. In person-centered therapy (PCT), empathy is a moral, not instrumental, practice that nondirectively protects the self-determination of the client. It exemplifies power with others, avoiding power over others, and facilitating power from within, by providing a conduit for non-possessive love, the active ingredient in PCT. Honesty in PCT involves the sincerity of the therapist’s unconditional empathy and the transparence to be a full person in relation to a client. Integrity refers not only to the disciplined moral practice of empathy, but an extensional, fully functioning maturation.

scholarly journals Pharmaceutical Product Selection: Application of AHP

2017 ◽  
Vol 12 (8) ◽  
pp. 193 ◽  
Author(s):  
Farzana Elahi ◽  
Afia Muqtadir ◽  
Shahriyar Anam ◽  
K. Mustafiz
Keyword(s):  
Threshold Value ◽  
Pharmaceutical Products ◽  
Pharmaceutical Product ◽  
Future Research ◽  
Care Needs ◽  
Expert Choice ◽  
Competitive Price ◽  
Quality Of Products ◽  
Hierarchy Process

Pharmaceutical industry caters to the health care needs through manufacturing drugs that cure diseases. With retailers being one of the customers in this industry, it is imperative for any pharmaceutical companyto address the issues concerning their preferences for these drugs to remain competitive in business. This prompts us to investigate the factors that influence their decisions in selecting the pharmaceutical products. This paper aims to identify those factors and rank them through application of analytical hierarchy process (AHP) with the support of the Expert Choice Software version 11.0. In this regard, six factors are identified, namely, quality of products, availability of products, variety of products, delivery deadline, flexibility in quantity, and competitive price that affect the purchasing decision of the retailers. The result indicates that among the chosen six factors, quality of products is ranked first followed by variety of products, availability of products, flexibility in quantity, competitive price, and delivery deadline. Inconsistency level as generated by the synthesis of AHP is found to be 9% that falls below the threshold value of 10%, signifying to the acceptability of the result. The implications of the findings on the part of the pharmaceutical companies and suggestions for future research are also put forward.

scholarly journals On some sufficient conditions for distributed QoS support in wireless networks

2019 ◽  
Author(s):  
Ashwin Ganesan
Keyword(s):  
Quality Of Service ◽  
Admission Control ◽  
Sufficient Conditions ◽  
Communication Overhead ◽  
Worst Case ◽  
Communication Links ◽  
Minimum Bandwidth ◽  
Primary Interference ◽  
Interference Models

Given a wireless network where some pairs of communication links interfere with each other, we study sufficient conditions for determining whether a given set of minimum bandwidth Quality of Service (QoS) requirements can be satisfied. We are especially interested in distributed implementations which have low communication overhead and low processing complexity. Row constraints are known to be sufficient, and we introduce the notion of the induced star number of a graph and show that this quantity determines the performance of this condition. We further investigate this problem for some special classes of networks and interference models such as unit disk networks and primary interference constraints. We determine the exact worst-case performance of some distributed algorithms for admission control and thereby show that they can be arbitrarily far away from optimal; we then show that these algorithms are within a bounded factor away from optimal for some well known classes of networks and interference models.

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