Ketevan Kutkhashvili
Academic Doctor of Science
Archil Eliashvili Institute of Control Systems of the Georgian Technical University
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Mathematical Basis for Creating a Discrete Problem Solving Algorithm  K.Kutkhashvili, V.Gabisonia  article  Ltd Sachino/Georgian Technical University Archil Eliashvili Institute of Control Systems Proceedings,2021,N25,pp.2127  ISSN 01350765  Georgian  State Targeted Program  
Mathematical Model of One Problem of Scheduling Theory under Uncertainty  K.Kutkhashvili, V.Gabisonia  article  შპს საჩინო / საქართველოს ტექნიკური უნივერსიტეტის არჩილ ელიაშვილის სახელობის მართვის სისტემების ინსტიტუტის შრომათა კრებული, 2020 / N24, გვ. 1823  ISSN 01350765  Georgian  State Targeted Program  
Probable model for one discrete optimization problem  K.Kutkhashvili, V.Gabisonia  article  PH Matsne Printi/Georgian Technical University Archil Eliashvili Institute of Control Systems Proceedings,2018,N22,pp.3740  ISSN 01350765  Georgian  State Targeted Program  
Probability Model for One Discrete Optimization Problem  K.Kutkhashvili, V.Gabisonia  article  PH Matsne Printi/Georgian Technical University Archil Eliashvili Institute of Control Systems Proceedings,2018,N22,pp.3740  ISSN 01350765  Georgian  State Targeted Program  
About One Specific Problem of Scheduling Theory  K.Kutkhashvili, V.Gabisonia  article  LLC Poligrafia/Georgian Technical University Archil Eliashvili Institute of Control Systems Proceedings,2017,N21,pp.2225  ISSN 01350765  Georgian  State Targeted Program  
Modern Technologies of Teaching in STEM Specialties and MathBridge Program  K. Tavzarashvili, V. Gabisonia, K. Kutkhashvili  article  Ltd Poligrafia/Georgian Technical University Archil Eliashvili Institute of Control Systems Proceedings,2017,N21,pp.142145  ISSN 01350765  Georgian  State Targeted Program  
On Algorithm of Finding the Best Variant of the Oriented Graph  K.Kutkhashvili  article  PH Damani /Georgian Technical UniversityArchil Eliashvili Institute of Control Systems Proceedings,2012,N16,pp.5054  ISSN 01350765  Georgian  State Targeted Program  
About One Concept of Teaching Informatics  K.Kutkhashvili  article  PH Damani /Georgian Technical University Archil Eliashvili Institute of Control Systems Proceedings,2011,N15,pp.224226  ISSN 01350765  Georgian  State Targeted Program  
Mathematical Model for Air Ecological Analysis and Forecasting  K.Kutkhashvili,V.Gabisonia,N.Kavlashvili,N.Kilasonia  conference proceedings  Georgian Chemical Journal / vol.4,2010,pp.164165  ISSN 15120686  Georgian  State Targeted Program  
On Algorithm for One Problem of Scheduling Theory Considering Two Criteria  K.Kutkhashvili, V.Gabisonia  article  PH Intelekti/LEPL Archil Eliashvili Institute of Control Systems Proceedings,2009,N13,pp.6168  ISSN 01350765  Georgian  State Targeted Program  
Applying the Length Search Algorithm to a Linear Problem of Scheduling Theory  K.Kutkhashvili  article  PH Intelekti/ LEPL Archil Eliashvii Institute of Control Systems Proceedings,2008,N12,pp.7882  ISSN 01350765  Georgian  State Targeted Program  
Ecological Analysis of Air on the Example of Tbilisi  K.Kutkhashvili, V.Gabisonia  article  PH Intelekti/ LEPL Archil Eliashvili Institute of Control Systems Proceedings,2007,N11,pp.6973  ISSN 01350765  Georgian  State Targeted Program  
Planning of Longterm Projects on Conditions of Limited Resources.  K. Kutkhashvili  article  PH Intelekti LEPL Archil Eliashvili Institute of Control Systems Proceedings,2006,N10,pp.7984  ISSN 01350765  Georgian  State Targeted Program  
Algorithm for Multicriteria Problem of Scheduling Theory  K.Kutkhashvili  article  PH Intelekti/Georgian Academy of Sciences A.Eliashvili Institute of Control Systems Proceedings,2005,N9,pp.6873  ISSN 01350765  Georgian  State Targeted Program 
X International Conference of Georgian Mathematical Union  Batumi, Georgia  2019  02.0906.09  Georgian Mathematical Union  About Mathematical Model of One Economical Problem  oral  Planning of projects in the long term by the private company depends on available resources (especially financial).The optimal distribution and management of resources is a complex task,and stability of firm or any large organization and proper decision making are of main importance for economic development .The paper will discuss one such problem and its mathematical model .  http://gmu.ge/Batumi2019/ 
X International Conference of Georgian Mechanical Union  Telavi, Georgia  2019  27.0929.09  Georgian Mechanical Union  On the Mathematical Model of One Multicriteria Planning Problem  oral  In the work for creation of large system, requiring different kinds of material and financial resources with limited amounts, mathematical model with two criteria is constructed.  www.tesau.edu.ge 
XVIII International Conference on "Mathematical Optimization Theory and Operations Research"(MOTOR2019)  Yekaterinburg, Russia  2019  09.0714.07  Institute of Mathematics SB RAS  On the Probabilistic Model of Scheduling Theory  oral  Based on scheduling theory, the original model of scheduling problems has been constructed.It can perform its subtasks with a singlestage multiprocessor system.It is assumed,that the processors of this system are partially interchangeable and the sets of additional resources and partial order are empty.The times of tasks, entering the system, are not fixed and have random values.  http://motor2019.uran.ru 
IV International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering  Tbilisi, Georgia  2019  23.0926.09  Ivane Javakhishvili Tbilisi State University  Mathematical Model of Project Management  oral  The implementation of each project requires some financial cost.The income of the company at the beginning of each month is known.The number of projects is so large,that the total cost of implementing of all projects exceed the company's total revenue of the year.We need:1)select the maximum number of projects,that the company can implement during the year;2)create a continuous plan for the implementation of selected projects, according their financial costs.To solve the economic problem, we have set,we can build a mathematical model, making the best schedule for the projects implementation.  http://www.viam.science.tsu.ge/aminse2019/ 
IX International Conference of Georgian Mathematical Union  Batumi, Georgia  2019  03.0908.09  Georgian Mathematical Union  Some Peculiarities of Teaching Mathematics in Faculty of Informatics  oral  Some observations will be made about teaching mathematical subjects in the faculties of informatics,for example, solving applied mathematical problems, using computer.Programming of mathematical problems will greatly increase the motivation.Using computer programming in teaching of fundamental mathematical concepts,such as function,limit,derivative,etc. ,simplifies their learning and makes it more interesting.  www.gmu.ge/Batumi2018 
VII International Conference on Optimization Problems and Their Applications (OPTA2018).  Omsk, Russia  2018  09.0714.07  Omsk Scientific Center SB RAS  The Problem of Scheduling Theory for Educational Process Planning  oral  The effective algorithm to order the sequence of tasks is constructed.The schedule length and maximal price of tasks implementation are considered as the measure of the algorithm effectiveness.The algorithm makes it possible to construct the schedule, giving optimal solution for both criteria.  http://euromathsoc.eu/cmc/ 
Caucasian Mathematics Conference (CMCIII)  Van, Turkey  2017  22.0825.08  Caucasian Mathematical Society  On Algorithm for Specific Problem of Scheduling Theory  oral  The effective algorithm to order the sequence of tasks is constructed.The schedule length and maximal price of tasks implementation are considered as the measure of the algorithm effectiveness.The algorithm makes it possible to construct the schedule, giving optimal solution for both criteria.  https://euromathsoc.eu/cmc/program.pdf 
VIII International Conference of Georgian Mathematical Union  Batumi, Georgia  2017  04.0909.09  Georgian Mathematical Union  Scheduling Theory Problem on Conditions of Restricted Additional Resources  oral  The work is devoted to the construction of polynomial algorithm and test of its effectiveness for one problem, when the tasks are implemented by single stage processors , the system of processors is partially interchangeable and neither partially ordered set, nor the set of additional resources are empty.Implementation of each task in conditions of different additional resources needs different price and the executing time of each task on any processor is constant.The measures of optimality are the length of schedule in terms of time and maximal cost of the system.The effectiveness of the algorithm is established.  www.gmu.ge/Batumi2017 
VII International Conference of Georgian Mathematical Union  Batumi, Georgia  2016  05.0909.09  Georgian Mathematical Union  Electronic Program MathBridge for Teaching Mathematics  oral  In the process of teaching mathematics the use of computer programs not only diversifies traditional methods, but raises the motivation of students,provides visual instruction and differentiation of assignments for them, facilitates their examination.The use of electronic devices makes learning of mathematics more interesting,emotional,effective and attractive.MathBridge is the first AllEuropean program of electronic education.MathBridge is easy to use and gives plenty of possibilities to students and teachers.  www.gmu.ge/Batumi2016 
XII Belarusian Mathematical Conference BMC2016  Minsk,Belarusia  2016  05.0907.09  Belarusian State University  Mathematics Teaching Modern Technologies in Specialties STEM  oral  Renewal rate of engineering and technical knowledge increases fast.Mathematical subjects make the basis for constructing a number of different specialities. The purpose of the project is the perfection of mathematics teaching in engineering specialities and directions in the institutes of higher education.MathBridge is AllEuropean weboriented intellectual system for creation of online courses on mathematics and teaching mathematics online.In the report we briefly describe main possibilities of MathBridge electronic system implantation to educational process,effectiveness of new pictorial and information technologies.  http://bmc.bsu.by/wpcontent/uploads/BMCXIIProgramFinal5.pdf 
VI International Conference of Georgian Mathematical Union  Batumi, Georgia  2015  08.0913.09  Georgian Mathematical Union  Modern Methods of Teaching Mathematics in STEM Specialties  oral  For country technological and economical development it is important to improve the quality of mathematical education in such specialties,as science,technology,engineering and mathematics (STEM). Modern competence demands corresponding specialists training in general engineering and,particularly,in computer sciences,means implantation of new technologies of teaching.In the work there are offered the possibilities of computer technologies use in mathematical subjects in STEM specialties,the main structure of mathematics teaching and the results, obtained in the project.  www.gmu.ge/Batumi2015 
V International Conference of Georgian Mathematical Union  Batumi, Georgia  2014  08.0913.09  Georgian Mathematical Union  Construction of Studying Processes Automated Systems by Graph  oral  In the work scheduling theory specific problem research is given,particularly,construction of automated system of educational schedules for secondary schools of Georgia.The purpose of the project is to construct such a flexible and easytouse package,which considers the specificity of the schools of different types and, as much as possible, will be adapted to both large in number and small schools and also to the schools with office system of teaching and without it.  www.gmu.ge/Batumi2014 
Scientific Conference on Information,Networking and Automation (ICINA)  Tbilisi, Georgia  2014  08.0909.09  Ivane Javakhishvili Tbilisi State University  Mukticriteria Algorithm for One Problem of Scheduling Theory  oral  One of the areas of discrete optimization,in particular,the scheduling theory, is considered.As is well known,the problems of scheduling theory are of NP complexity and only in particular cases it is possible to construct the polinomial complexity algorithms.For the problem, considered in the work, the sets of additional resourses and the partially ordered set,defined as the task of system,are empty.The schedule length and maximal price of tasks execution are considered as an effectiveness measure.It is constructed an algorithm,using obtained optimal values,which allows to find Paretooptimal solutions of the problem.  https://www.tsu.ge/data/file_db/faculty_zust_sabunebismetk/ICINA%20Program.pdf 
IV International Conference of Georgian Mathematical Union  Batumi, Georgia  2013  09.0914.09  Georgian Mathematical Union  On Multicriteria Algorithm for Specific Problem of Scheduling Theory  oral  Given system of tasks with certain set of resourсes or devices has to be executed.In conditions of given properties of tasks and resources systems and certain restrictions on them, effective algorithm of tasks implementation shedule has to be constructed.As the measures of effectiveness are considered the price and running time.  www.gmu.ge/Batumi2013 
26th European Conference on Operational Research  Rome, Italy  2013  01.0704.07  University of Rome Sapienza  On an Algorithm for one Scheduling Theory Multicriteria Problem  oral  On the basis of general theory methods mathematical model is constructed for scheduling theory problems, where tasks implementation is possible by singlestep multiprocessing system,the processors are half interchangeable and the sets of additional resources and partial order are empty.The new multicriteria optimization algorithm (from the viewpoint of speed of acting and other certain criteria) is constructed.  http://www.euro2013.org/ 
Second International Conference Modern Problems of Applied mathematics  Tbilisi, Georgia  2013  18.0220.02  I.Javakhishvili Tbilisi State University I.Vekua Institute of Applied Mathematics  On MultiCriteria Algorithms and Analysis for some Discrete Optimization Problems  oral  The man in his activity is constantly faced with the situations, in which he has to make a choice.This paper discusses the problems,related to the choice of decisions in the presence of the number of criteria for some discrete tasks.  
III International Conference of Georgian Mathematical Union  Batumi, Georgia  2012  10.0916.09  Georgian Mathematical Union  On One Concept of Algoritmization and Programming Teaching  oral  For any programming language the main principles of algorithmization are the basis for creation of good software,as the knowledge of the basis of algorithmization helps specialists to take the problem more systemic and to formulate it technically correctly.At the same time,the great importance is attached to data presentation and consideration of their whole processing.The teaching of algorithmization means acquiring new skills, which will help the programmer to formulate his ideas better and to improve his logic mentality.  www.gmu.ge/Batumi2012 
IV International Conference Problems of Cybernetics and Informatics (PCI)  Baku, Azerbaijan  2012  12.0914.09  Institute of Electrical and Electronics Engineers  On Algorithm for Solving Multikriteria Optimization Problem of Scheduling Theory  oral  The sets of vector values and additional resources are empty,an algorithm of the polynomial complexity is constructed.Taking into account the obtained solutions,the algorithm proposes to the decision making person a system of possible compromise settlements,deviating from the optimal solution with a desirable error, in the conversational mode.  https://azertag.az/en/xeber/PCI2012 
II International Conference of Georgian Mathematical Union  Batumi, Georgia  2011  12.0917.09  Georgian Mathematical Union  On One Interactive Method for Solving of Multicriteria Discret Optimization Problem  oral  The work is devoted to the research on one scheduling theory specific problem.New optimization algorithm is constructed and its effectiveness is established.The methods of combinatorics and graph theory are used.For multicriteria solving special interactive method is worked out.  www.gmu.ge/Batumi2011 
I International Conference of Modernity Asic Ecological Problems and Caucasus  Tbilisi, Georgia  2010  04.0706.07  St.Andrews Georgian University  Mathematical Model for Air Ecological Analysis and Forecast  oral  The mathematical model, describing diffusion of contaminating ingredients in the air is constructed and applied to forecasting of air contamination.The model is partial differential equation with initial and boundary conditions.The characteristic diffusion coefficients of the model are calculated in terms of the statistical analysis of data, taken from measuring stations.In the model the temperature of the air,cloudiness,wind speed and its direction are considered.  
International Conference Problems of Cybernetics and Informatics (PCI,2010)  Baku, Azerbaijan  2010  01.0903.09  Baku State University  On Algorithm for Solving of Scheduling Theory Multicriteria Optimization Problem.  oral  A standard problem of discrete optimization from scheduling problem theory is considered.There are n tasks to be executed on m processors at some restrictions and conditions.The purpose of the problem is to find an optimal execution order for the tasks,so that the given conditions were carried out simultaneously,if the construction of such schedule is basically possible . 
Doctoral Thesis Referee 
Master Theses Supervisor 
Doctoral Thesis Supervisor/Cosupervisor 
Scientific editor of monographs in foreign languages 
Scientific editor of a monograph in Georgian 
EditorinChief of a peerreviewed or professional journal / proceedings 
Review of a scientific professional journal / proceedings 
Member of the editorial board of a peerreviewed scientific or professional journal / proceedings 
Participation in a project / grant funded by an international organization 
Participation in a project / grant funded from the state budget

Patent authorship 
Membership of the Georgian National Academy of Science or Georgian Academy of Agricultural Sciences 
Membership of an international professional organization 
Membership of the Conference Organizing / Program Committee 
National Award / Sectoral Award, Order, Medal, etc. 
Honorary title 
Monograph 
Handbook 
Research articles in high impact factor and local Scientific Journals 
Publication in Scientific Conference Proceedings Indexed in Web of Science and Scopus 