Pub Date : 2019-02-04DOI: 10.11121/IJOCTA.01.2019.00703
A. Aktaş
Nowadays, with the development of ultra-wide band antennas and internet of thing technologies, tracing systems are being developed in many fields such as security, health, mining and transportation. The accuracy location estimation issue is becoming very important in areas of application where occupational health and safety are high. In these applications, the transfer of information between the target and the manager, whose location must be accuracy known, has become indispensable. Especially when the target person is human, the movement parameters such as speed, acceleration, position and altitude compose the calculation parameters of the central management system. The information to be sent by the worker in emergency situations and warnings explain the need for real-time location systems to avoid a possible occupational accident. This paper includes real-time location system structure and improved accuracy location control algorithm, which are being used in occupational health and safety, hospital, storage, mine and tracing areas. The real-time location system was designed using a DWM1000 location sensor module with an ultra-wide band integrated antenna. Product usage time has been extended in designed real-time location cards with low power consuming processors. An accuracy positioning control algorithm has been improved to quickly and exactly locate the target to be tracked. With this algorithm, a new approach to real-time location systems has been introduced and worker tracing, information and warning systems are made with fast response time. The control cards developed in a sample workspace were tested and the application results on the developed computer virtual map interface were given.
{"title":"Control and application of accuracy positioning estimation based real-time location system","authors":"A. Aktaş","doi":"10.11121/IJOCTA.01.2019.00703","DOIUrl":"https://doi.org/10.11121/IJOCTA.01.2019.00703","url":null,"abstract":"Nowadays, with the development of ultra-wide band antennas and internet of thing technologies, tracing systems are being developed in many fields such as security, health, mining and transportation. The accuracy location estimation issue is becoming very important in areas of application where occupational health and safety are high. In these applications, the transfer of information between the target and the manager, whose location must be accuracy known, has become indispensable. Especially when the target person is human, the movement parameters such as speed, acceleration, position and altitude compose the calculation parameters of the central management system. The information to be sent by the worker in emergency situations and warnings explain the need for real-time location systems to avoid a possible occupational accident. This paper includes real-time location system structure and improved accuracy location control algorithm, which are being used in occupational health and safety, hospital, storage, mine and tracing areas. The real-time location system was designed using a DWM1000 location sensor module with an ultra-wide band integrated antenna. Product usage time has been extended in designed real-time location cards with low power consuming processors. An accuracy positioning control algorithm has been improved to quickly and exactly locate the target to be tracked. With this algorithm, a new approach to real-time location systems has been introduced and worker tracing, information and warning systems are made with fast response time. The control cards developed in a sample workspace were tested and the application results on the developed computer virtual map interface were given.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"57 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2019-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89167511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-31DOI: 10.11121/ijocta.01.2019.00559
M. Sarıkaya, A. Akkurt, H. Budak, M. Yildirim, H. Yildirim
In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier works and we show that some of our results are better than the otherresults with respect to midpoint inequalities.
{"title":"Hermite-Hadamard's inequalities for conformable fractional integrals","authors":"M. Sarıkaya, A. Akkurt, H. Budak, M. Yildirim, H. Yildirim","doi":"10.11121/ijocta.01.2019.00559","DOIUrl":"https://doi.org/10.11121/ijocta.01.2019.00559","url":null,"abstract":"In this paper, we establish the Hermite-Hadamard type inequalities forconformable fractional integral and we will investigate some integralinequalities connected with the left and right-hand side of theHermite-Hadamard type inequalities for conformable fractional integral. Theresults presented here would provide generalizations of those given inearlier works and we show that some of our results are better than the otherresults with respect to midpoint inequalities.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"27 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2019-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84197607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-31DOI: 10.11121/IJOCTA.01.2019.00592
O. Yildirim
In this paper, third and fourth order of accuracy stable difference schemes for approximately solving multipoint nonlocal boundary value problems for hyperbolic equations with the Neumann boundary conditions are considered. Stability estimates for the solutions of these difference schemes are presented. Finite difference method is used to obtain numerical solutions. Numerical results of errors and CPU times are presented and are analyzed.
{"title":"On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions","authors":"O. Yildirim","doi":"10.11121/IJOCTA.01.2019.00592","DOIUrl":"https://doi.org/10.11121/IJOCTA.01.2019.00592","url":null,"abstract":"In this paper, third and fourth order of accuracy stable difference schemes for approximately solving multipoint nonlocal boundary value problems for hyperbolic equations with the Neumann boundary conditions are considered. Stability estimates for the solutions of these difference schemes are presented. Finite difference method is used to obtain numerical solutions. Numerical results of errors and CPU times are presented and are analyzed.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"63 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2019-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83234566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-31DOI: 10.11121/ijocta.01.2019.00574
B. Meftah, A. Souahi
In this paper, we introduce the class of extended s-(alpha,m)-preinvex functions. We establish a new fractional integral identity and derive some new fractional Hermite-Hadamard type inequalities for functions whose derivatives are in this novel class of function.
{"title":"Fractional Hermite-Hadamard type inequalities for functions whose derivatives are extended s-(?,m)-preinvex","authors":"B. Meftah, A. Souahi","doi":"10.11121/ijocta.01.2019.00574","DOIUrl":"https://doi.org/10.11121/ijocta.01.2019.00574","url":null,"abstract":"In this paper, we introduce the class of extended s-(alpha,m)-preinvex functions. We establish a new fractional integral identity and derive some new fractional Hermite-Hadamard type inequalities for functions whose derivatives are in this novel class of function.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"56 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2019-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90906726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-30DOI: 10.11121/ijocta.01.2019.00625
M. Seydaoğlu
An ordinary differential equation (ODE) can be split into simpler sub equations and each of the sub equations is solved subsequently by a numerical method. Such a procedure involves splitting error and numerical error caused by the time stepping methods applied to sub equations. The aim of the paper is to present an integral formula for the global error expansion of a splitting procedure combined with any numerical ODE solver.
{"title":"An integral formulation for the global error of Lie Trotter splitting scheme","authors":"M. Seydaoğlu","doi":"10.11121/ijocta.01.2019.00625","DOIUrl":"https://doi.org/10.11121/ijocta.01.2019.00625","url":null,"abstract":"An ordinary differential equation (ODE) can be split into simpler sub equations and each of the sub equations is solved subsequently by a numerical method. Such a procedure involves splitting error and numerical error caused by the time stepping methods applied to sub equations. The aim of the paper is to present an integral formula for the global error expansion of a splitting procedure combined with any numerical ODE solver.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"7 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2019-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88606386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2019-01-30DOI: 10.11121/ijocta.01.2019.00585
H. Budak
In this paper, we first establish weighted versions of Hermite-Hadamard typeinequalities for Riemann-Liouville fractional integral operators utilizingweighted function. Then we obtain some refinements of these inequalities. Theresults obtained in this study would provide generalization of inequalitiesproved in earlier works.
{"title":"On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators","authors":"H. Budak","doi":"10.11121/ijocta.01.2019.00585","DOIUrl":"https://doi.org/10.11121/ijocta.01.2019.00585","url":null,"abstract":"In this paper, we first establish weighted versions of Hermite-Hadamard typeinequalities for Riemann-Liouville fractional integral operators utilizingweighted function. Then we obtain some refinements of these inequalities. Theresults obtained in this study would provide generalization of inequalitiesproved in earlier works.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"337 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2019-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82958207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-11-01DOI: 10.11121/ijocta.01.2019.00423
S. R. Gani, S. V. Halawar
The present study considered the optimal control analysis of both deterministic differential equation modeling and stochastic differential equation modeling of infectious disease by taking effects of media awareness programs and treatment of infectives on the epidemic into account. Optimal media awareness strategy under the quadratic cost functional using Pontrygin's Maximum Principle and Hamiltonian-Jacobi-Bellman equation are derived for both deterministic and stochastic optimal problem respectively. The Hamiltonian-Jacobi-Bellman equation is used to solve stochastic system, which is fully non-linear equation, however it ought to be pointed out that for stochastic optimality system it may be difficult to obtain the numerical results. For the analysis of the stochastic optimality system, the results of deterministic control problem are used to find an approximate numerical solution for the stochastic control problem. Outputs of the simulations shows that media awareness programs place important role in the minimization of infectious population with minimum cost.
{"title":"Optimal control analysis of deterministic and stochastic epidemic model with media awareness programs","authors":"S. R. Gani, S. V. Halawar","doi":"10.11121/ijocta.01.2019.00423","DOIUrl":"https://doi.org/10.11121/ijocta.01.2019.00423","url":null,"abstract":"The present study considered the optimal control analysis of both deterministic differential equation modeling and stochastic differential equation modeling of infectious disease by taking effects of media awareness programs and treatment of infectives on the epidemic into account. Optimal media awareness strategy under the quadratic cost functional using Pontrygin's Maximum Principle and Hamiltonian-Jacobi-Bellman equation are derived for both deterministic and stochastic optimal problem respectively. The Hamiltonian-Jacobi-Bellman equation is used to solve stochastic system, which is fully non-linear equation, however it ought to be pointed out that for stochastic optimality system it may be difficult to obtain the numerical results. For the analysis of the stochastic optimality system, the results of deterministic control problem are used to find an approximate numerical solution for the stochastic control problem. Outputs of the simulations shows that media awareness programs place important role in the minimization of infectious population with minimum cost.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"25 3 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2018-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77486160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-15DOI: 10.11121/IJOCTA.01.2019.00576
Selçuk Aslan
Increasing number of cores in a processor chip and decreasing cost of distributed memory based system setup have led to emerge of a new work theme in which the main concern focused on the parallelization of the well-known algorithmic approaches for utilizing the computational power of the current architectures. In this study, the performances of the conventional parallel and cooperative model based parallel Artificial Bee Colony (ABC) algorithms on the deployment problem related to the wireless sensor networks were investigated. The results obtained from the experimental studies showed that parallelized ABC algorithm with the cooperative model is capable of finding similar or better coverage ratios with the increased convergence speeds than its serial counterpart and parallelized implementation in which the emigrant is chosen as the best food source in the current subcolony.
{"title":"Deployment in wireless sensor networks by parallel and cooperative parallel artificial bee colony algorithms","authors":"Selçuk Aslan","doi":"10.11121/IJOCTA.01.2019.00576","DOIUrl":"https://doi.org/10.11121/IJOCTA.01.2019.00576","url":null,"abstract":"Increasing number of cores in a processor chip and decreasing cost of distributed memory based system setup have led to emerge of a new work theme in which the main concern focused on the parallelization of the well-known algorithmic approaches for utilizing the computational power of the current architectures. In this study, the performances of the conventional parallel and cooperative model based parallel Artificial Bee Colony (ABC) algorithms on the deployment problem related to the wireless sensor networks were investigated. The results obtained from the experimental studies showed that parallelized ABC algorithm with the cooperative model is capable of finding similar or better coverage ratios with the increased convergence speeds than its serial counterpart and parallelized implementation in which the emigrant is chosen as the best food source in the current subcolony.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"55 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2018-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72483567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-15DOI: 10.11121/IJOCTA.01.2019.00622
Tolga Akturk
In this paper, some travelling wave solutions of the Modified Boussinesq (MBQ) equation are obtained by using the modified expansion function method (MEFM). When the obtained solutions are commented, trigonometric functions including hyperbolic features are obtained. The 2D and 3D graphics of the solutions have been investigated by selecting appropriate parameters. All the obtained solutions provide the MBQ equation. In this work, all mathematical calculations are done with Wolfram Mathematica software.
{"title":"An application of the MEFM to the modified Boussinesq equation","authors":"Tolga Akturk","doi":"10.11121/IJOCTA.01.2019.00622","DOIUrl":"https://doi.org/10.11121/IJOCTA.01.2019.00622","url":null,"abstract":"In this paper, some travelling wave solutions of the Modified Boussinesq (MBQ) equation are obtained by using the modified expansion function method (MEFM). When the obtained solutions are commented, trigonometric functions including hyperbolic features are obtained. The 2D and 3D graphics of the solutions have been investigated by selecting appropriate parameters. All the obtained solutions provide the MBQ equation. In this work, all mathematical calculations are done with Wolfram Mathematica software. ","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"12 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2018-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82907978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-10-15DOI: 10.11121/IJOCTA.01.2019.00561
A. Yokuş, H. Bulut
In this study, by using the finite difference method (FDM for short) and operators, the discretized Cahn-Allen equation is obtained. New initial condition for the Cahn-Allen equation is introduced, considering the analytical solution given in Application of the modified exponential function method to the Cahn-Allen equation, AIP Conference Proceedings 1798, 020033 [1]. It is shown that the FDM is stable for the usage of the Fourier-Von Neumann technique. Accuracy of the method is analyzed in terms of the errors in and Furthermore, the FDM is treated in order to obtain the numerical results and to construct a table including numerical and exact solutions as well as absolute measuring error. A comparison between the numerical and the exact solutions is supported with two and three dimensional graphics via Wolfram Mathematica 11.
{"title":"On the numerical investigations to the Cahn-Allen equation by using finite difference method","authors":"A. Yokuş, H. Bulut","doi":"10.11121/IJOCTA.01.2019.00561","DOIUrl":"https://doi.org/10.11121/IJOCTA.01.2019.00561","url":null,"abstract":"In this study, by using the finite difference method (FDM for short) and operators, the discretized Cahn-Allen equation is obtained. New initial condition for the Cahn-Allen equation is introduced, considering the analytical solution given in Application of the modified exponential function method to the Cahn-Allen equation, AIP Conference Proceedings 1798, 020033 [1]. It is shown that the FDM is stable for the usage of the Fourier-Von Neumann technique. Accuracy of the method is analyzed in terms of the errors in and Furthermore, the FDM is treated in order to obtain the numerical results and to construct a table including numerical and exact solutions as well as absolute measuring error. A comparison between the numerical and the exact solutions is supported with two and three dimensional graphics via Wolfram Mathematica 11.","PeriodicalId":37369,"journal":{"name":"International Journal of Optimization and Control: Theories and Applications","volume":"8 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2018-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81665432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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