Registered Data

[CT078]

  • Session Time & Room
    • CT078 (1/1) : 2C @E501 [Chair: Selvaraju Natarajan]
  • Classification
    • CT078 (1/1) : Special processes (60K) / Tables in numerical analysis (65A)

[00514] Diffusion approximation of a Markov-modulated infinite-server queue

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @E501
  • Type : Contributed Talk
  • Abstract : In a queue, overdispersion nature of arrivals and stochastic nature of service times can be captured by incorporating modulation into the queue dynamics. We discuss stochastic approximations for an infinite-server queue, where the stochastic arrival and service rates are determined by a Markovian environment. The incorporation of modulation leads to an Ornstein-Uhlenbeck process as its diffusion approximation with the variance parameter capturing the stochastic variations of both modulating and modulated processes.
  • Classification : 60K25, 60K37
  • Format : Talk at Waseda University
  • Author(s) :
    • Selvaraju Natarajan (Indian Institute of Technology Guwahati, India)
    • Ankita Sen (Indian Institute of Technology Guwahati, India)

[02573] Local convergence analysis of modified King's family for multiple roots

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @E501
  • Type : Contributed Talk
  • Abstract : We Introduce a new optimal King-like family of methods to solve nonlinear equations when the multiplicity of the root is known in advance. Local convergence of fourth order modified King's family, defined by first two steps of the new scheme is also studied. Radius of convergence balls of fourth order scheme are computed and compared with the existing methods. Comparison of these results show the superiority of our schemes over the existing ones.
  • Classification : 65A05, 65Gxx, 65H05, 65G99
  • Format : Talk at Waseda University
  • Author(s) :
    • Saurabh Bhatia (Panjab University Chandigarh)

[01146] Steady-State Analysis of a Single Server Queueing System Subject to Differentiated Vacations and N-Policy

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @E501
  • Type : Contributed Talk
  • Abstract : An M/M/1 queueing system subject to differentiated vacations and N-policy is studied. When there are no customers, the server takes a vacation and returns to the system if N or more customers are found. Still, if the number of customers in the system is less than “N,” the server takes another vacation type. The explicit expression for steady-state probabilities of the system size is obtained. The exact solutions for some performance measures are also derived.
  • Classification : 60K25, 68M20, 90B22, Queueing theory
  • Format : Online Talk on Zoom
  • Author(s) :
    • SURANGA SAMPATH MIYANAWATHURA IHALA GAMAGE (Wayamba University of Sri Lanka)