Now showing items 1-12 of 12

    • Analysis of large Markov chains using stochastic automata networks 

      Oleg, Gusak (Bilkent University, 2001-07)
      This work contributes to the existing research in the area of analysis of finite Markov chains (MCs) modeled as stochastic automata networks (SANs). First, this thesis extends the near complete decomposability concept of ...
    • Automatic detection of compound structures by joint selection of region groups from a hierarchical segmentation 

      Akçay, H. G.; Aksoy, S. (Institute of Electrical and Electronics Engineers, 2016)
      A challenging problem in remote sensing image analysis is the detection of heterogeneous compound structures such as different types of residential, industrial, and agricultural areas that are composed of spatial arrangements ...
    • Conditions for uniqueness of limit Gibbs states 

      Şahin, Mehmet Arafat (Bilkent University, 1998)
      In this work we studied the problem of phase transitions in one-dirnensional models with unique ground state. A model ha\dng two spins, one ground state and exhibiting phase transition is constructed.
    • Decompositional analysis of Kronecker structured Markov chains 

      Bao, Y.; Bozkur, I. N.; Dayar, T.; Sun, X.; Trivedi, K. S. (Kent State University, 2008)
      This contribution proposes a decompositional iterative method with low memory requirements for the steadystate analysis ofKronecker structured Markov chains. The Markovian system is formed by a composition of subsystems ...
    • Economic design of EWMA control charts based on loss function 

      Serel, D. A. (Elsevier, 2009)
      For monitoring the stability of a process, various control charts based on exponentially weighted moving average (EWMA) statistics have been proposed in the literature. We study the economic design of EWMA-based mean and ...
    • Non-stationary Markov chains 

      Mallak, Saed (Bilkent University, 1996)
      In thi.s work, we studierl the Ergodicilv of Non-Stationary .Markov chains. We gave several e.xainples with different cases. We proved that given a sec[uence of Markov chains such that the limit of this sec|uence is an ...
    • On compact solution vectors in Kronecker-based Markovian analysis 

      Buchholz, P.; Dayar T.; Kriege, J.; Orhan, M. C. (Elsevier, 2017)
      State based analysis of stochastic models for performance and dependability often requires the computation of the stationary distribution of a multidimensional continuous-time Markov chain (CTMC). The infinitesimal generator ...
    • On the numerical analysis of infinite multi-dimensional Markov chains 

      Orhan, Muhsin Can (Bilkent University, 2017-08)
      A system with multiple interacting subsystems that exhibits the Markov property can be represented as a multi-dimensional Markov chain (MC). Usually the reachable state space of this MC is a proper subset of its product ...
    • On the numerical solution of Kronecker-based infinite level-dependent QBD processes 

      Baumann, H.; Dayar, T.; Orhan, M. C.; Sandmann, W. (2013)
      Infinite level-dependent quasi-birth-and-death (LDQBD) processes can be used to model Markovian systems with countably infinite multidimensional state spaces. Recently it has been shown that sums of Kronecker products can ...
    • On vector-kronecker product multiplication with rectangular factors 

      Dayar, T.; Orhan, M. C. (Society for Industrial and Applied Mathematics, 2015)
      The infinitesimal generator matrix underlying a multidimensional Markov chain can be represented compactly by using sums of Kronecker products of small rectangular matrices. For such compact representations, analysis methods ...
    • Phase transition in one dimensional model with unique ground state 

      Kerimov, A. (Elsevier BV * North-Holland, 1996)
      A one - dimensional model having a unique ground state and admitting a phase transition is constructed.
    • Steady-state analysis of a multiclass MAP/PH/c queue with acyclic PH retrials 

      Dayar T.; Orhan, M. C. (Applied Probability Trust, 2016)
      A multiclass c-server retrial queueing system in which customers arrive according to a class-dependent Markovian arrival process (MAP) is considered. Service and retrial times follow class-dependent phase-type (PH) ...