小林 正弘

Kobayashi Masahiro

  • 准教授
  • 学位:博士(理学)

基本情報

所属

  • Undergraduate School of Science / Department of Mathematical Sciences
  • Graduate School of Science / Course of Mathematics and Mathematical Sciences

詳細情報

研究分野

  • Natural sciences Applied mathematics and statistics

論文

Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process

Simple approximate analysis for parallel queues with patients' deteriorating health conditions

Simple error bounds for the QBD approximation of a special class of two dimensional reflecting random walks

STRUCTURE-REVERSIBILITY OF A TWO-DIMENSIONAL REFLECTING RANDOM WALK AND ITS APPLICATION TO QUEUEING NETWORK

TAIL ASYMPTOTICS OF THE STATIONARY DISTRIBUTION OF A TWO-DIMENSIONAL REFLECTING RANDOM WALK WITH UNBOUNDED UPWARD JUMPS

Join the shortest queue among k parallel queues: Tail asymptotics of its stationary distribution

Revisiting the Tail Asymptotics of the Double QBD Process: Refinement and Complete Solutions for the Coordinate and Diagonal Directions

Tail asymptotics of the stationary distribution for M/M-JSQ with k parallel queues

Conjectures on tail asymptotics of the stationary distribution for a multidimensional SRBM

Tail Asymptotics of the Occupation Measure for a Markov Additive Process with an M/G/1-Type Background Process

The tail asymptotic behavior of the stationary distribution of a double m/G/1 process and their applications to a batch arrival jackson network

Asymptotic behaviors of stationary distribution for two node Jackson network queue with batch arrival

An approximation of a PH/PH/c queue with general impatient time

Weak reversibility of a two dimensional reflecting random walk

講演・口頭発表等

  • An arrival-time distribution for the equilibrium mean waiting time of a discrete-time single-server queue with acceptance period and Poissonian population of customers
  • Error bound for the QBD approximation of a two dimensional reflecting random walk

所属学会

  • THE JAPAN STATISTICAL SOCIETY
  • THE MATHEMATICAL SOCIETY OF JAPAN
  • THE OPERATIONS RESEARCH SOCIETY OF JAPAN

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