Browsing Endüstri Mühendisliği Bölümü / Department of Industrial Engineering by Author "17222"
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Approximation formulas for the moments of the boundary functional of a Gaussian random walk with positive drift by using Siegmund's formula
Gökpınar, F.; Khaniyev, Tahir A.; Aliyev, Rt (Taylor and Francis Inc., 2019)In this study, a boundary functional () are mathematically constructed for a Gaussian random walk (GRW) with positive drift beta and first four moments of the functional are expressed in terms of ladder variables based on ... 
Asymptotic approach for a renewalreward process with a general interference of chance
Aliyev, Rovshan; Ardic, Ozlem; Khaniyev, Tahir (Taylor & Francis Inc, 2016)In this study, a renewalreward process with a discrete interference of chance is constructed and considered. Under weak conditions, the ergodicity of the process X(t) is proved and exact formulas for the ergodic distribution ... 
Asymptotic Expansions For The Moments Of The RenewalReward Process With A Normal Distributed Interference Of Chance
Hanalioglu, Z.; Unver, N. Fescioglu; Khaniyev, Tahir (Ministry Communications & High Technologies Republic Azerbaijan, 2018)In this study, a renewalreward process with a normal distributed interference of chance is mathematically constructed. The ergodicity of this process is discussed. The exact formulas for the nth order moments of the ergodic ... 
Asymptotic Properties of the Straight Line Estimator for a Renewal Function
Gokpinar, Esra; Khaniyev, Tahir; Gamgam, Hamza (Univ Kebangsaan Malaysia, 201507)In estimation problems in renewal function, when the distribution is not known, nonparametric estimators of renewal function are used. Frees (1986a, Warranty analysis and renewal function estimation, Naval Res. Logist. ... 
Asymptotic Rate for Weak Convergence of the Distribution of RenewalReward Process with a Generalized Reflecting Barrier
Khaniyev, Tahir; Gever, Basak; Hanalioglu, Zulfiye (SpringerVerlag Berlin, 2016)In this study, a renewalreward process (X(t)) with a generalized reflecting barrier is constructed mathematically and under some weak conditions, the ergodicity of the process is proved. The explicit form of the ergodic ... 
Asymptotic Results for an Inventory Model of Type (s, S) with Asymmetric Triangular Distributed Interference of Chance and Delay
Hanalioglu, Zulfiye; Khaniyev, Tahir (Gazi Univ, 2018)In this study, a semi  Markovian inventory model of type (s, S) is considered and the model is expressed by a modification of a renewal  reward process (X(t)) with an asymmetric triangular distributed interference of ... 
The Class of L boolean AND D and Its Application to Renewal Reward Process
Kamislik, Ash Bektas; Kesemen, Tulay; Khaniyev, Tahir (Amer Inst Physics, 2018)The class of L boolean AND D is generated by intersection of two important subclasses of heavy tailed distributions: The long tailed distributions and dominated varying distributions. This class itself is also an important ... 
Comparison of stochastic and random models for bacterial resistance
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khaniyev, Tahir (Springer International Publishing Ag, 201705)In this study, a mathematical model of bacterial resistance considering the immune system response and antibiotic therapy is examined under random conditions. A random model consisting of random differential equations is ... 
Estimators of the Moments for the Inventory Model of Type (s, S)
Gokpinar, Esra; Khaniyev, Tahir; Gamgam, Hamza; Gokpinar, Fikri (Springer International Publishing Ag, 201803)The inventory model of type (s, S) is one of the most common used inventory models used in many problems of stock control. It is very important to know statistical characteristics such as the moments of the inventory model ... 
Inventory model of type (s, S) under heavy tailed demand with infinite variance
Kamışlık, Aslı Bektaş; Kesemen, Tülay; Khaniyev, Tahir (Brazilian Statistical Association, 2019)In this study, a stochastic process X(t), which describes an inventory model of type (s, S) is considered in the presence of heavy tailed demands with infinite variance. The aim of this study is observing the impact of ... 
Investigation of fuzzy inventory model of type (s, S) with Nakagami distributed demands
Turksen, I. Burhan; Khaniyev, Tahir; Gokpinar, Fikri (IOS Press, 2015)In this study, a fuzzy inventory model of type (s, S) is considered under Nakagami distribution of demands. We first obtain the membership function of the fuzzy renewal function when the amount of demand has Nakagami ... 
Limit theorem for a semi  Markovian stochastic model of type (s,S)
Hanalioğlu, Zülfiye; Khaniyev, Tahir (Hacettepe University, 2019)In this study, a semiMarkovian inventory model of type (s,S) is considered and the model is expressed by means of renewalreward process (X(t)) with an asymmetric triangular distributed interference of chance and delay. ... 
A New Estimator for Stationary Distribution of the Inventory Model of Type (s, S)
Gokpinar, Esra; Khaniyev, Tahir; Gamgam, Hamza; Gokpinar, Fikri (Gazi Univ, 2015)We consider inventory model of type (s, S) which is used mostly in stock control policy. It is very important to know characteristics of an inventory model of type (s, S), such as stationary distribution. Using the straight ... 
On The Application Of Random Walk With Delay And Pareto Distributed Interference Of Chance To An Insurance Model
Kesemen, Tulay; Kucuk, Zafer; Khaniyev, Tahir; Yetim, Fuat; Bektas Kamislik, Ash (Gazi Univ, 2016)In this study, a semiMarkovian random walk with Pareto distributed interference of chance and delay is considered. Some exact formulas for the first four stationary moments of the process are obtained when the random ... 
On The Boundary Functional Of The Random Walk With Two Barriers Related To Optimal Capacity Of The Buffer Stock
Hanalioglu, Z.; Gever, B.; Poladova, A.; Khaniyev, Tahir (Baku State Univ, Inst Applied Mathematics, 2018)In this study, a boundary functional (N) of the semiMarkovian random walk (X (t)) with two special barriers is considered. The boundary functional N is defined as the first time when the random walk exits from the interval ... 
On the limiting behavior of the characteristic function of the ergodic distribution of the semiMarkov walk with two boundaries
Aliyev, R. T.; Khaniyev, Tahir (Maik Nauka/Interperiodica/Springer, 201709)The semiMarkov walk (X(t)) with two boundaries at the levels 0 and beta > 0 is considered. The characteristic function of the ergodic distribution of the processX(t) is expressed in terms of the characteristics of the ... 
On The Moments For Ergodic Distribution Of An Inventory Model Of Type (S, S) With Regularly Varying Demands Having Infinite Variance
Kamislik, A. Bektas; Kesemen, T.; Khaniyev, Tahir (Turkic World Mathematical Soc, 2018)In this study a stochastic process X(t) which represents a semi Markovian inventory model of type (s,S) has been considered in the presence of regularly varying tailed demand quantities. The main purpose of the current ... 
On the Moments of a SemiMarkovian Random Walk with Gaussian Distribution of Summands
Aliyev, Rovshan; Khaniyev, Tahir (Taylor & Francis Inc, 201401)In this article, a semiMarkovian random walk with delay and a discrete interference of chance (X(t)) is considered. It is assumed that the random variables (n), n=1, 2,..., which describe the discrete interference of ... 
On the Stationary Distribution for a Fuzzy Inventory Model of Type (s,S) with Inverse Gaussian Distributed Demands
Khaniyev, Tahir; Gokpinar, Fikri; Hanalioglu, Tagi; Turksen, I. Burhan (Springer International Publishing Ag, 201812)In this study, we consider a fuzzy inventory model of type (s,S) with random demands having an inverse Gaussian distribution. We first show the monotonicity of the renewal function with respect to mean parameter. Thus we ... 
Radiation Dose Reduction in Thorax CT
Koç, Gizem Gül; Kokangül, Ali; Hanalioğlu, Tahir (Çukurova Üniversitesi, 2014)Computerized Tomography is a method of working with Xrays and is increasing in application day by day. Scientists continue to conduct studies by reducing the dose of Xray that patients are exposed to in order to reduce ...