current research activity involves studies in a variety
of areas of stochastic processes such as the application
of Markov renewal theory to queueing models; the application
of generalized inverses to problems involving Markov chains
and the application of two dimensional renewal processes
to problems in warranty analysis. (See Current
also working on Volume 3 of a series of textbooks on Mathematical
Techniques of Applied Probability. This volume, which examines
continuous stochastic time models, is a continuation of
Volumes 1 and 2.
J J (1983). "Mathematical Techniques of Applied Probability,
Volume l, Discrete Time Models: Basic Theory". Academic
Press New York, N.Y. (Operations Research and Industrial
Engineering Series) pp.xiii + 239. "Mathematical Techniques
of Applied Probability, Volume 2, Discrete Time Models:
Techniques and Applications". Academic Press, New York,
N.Y. (Operations Research and Industrial Engineering Series)
p.p.xiii + 286
J J (1990). "Parametric forms for generalized inverses of
Markovian kernels and their applications", Linear Algebra
and its Applications,127, 71-84.
J J (1991). "The computation of stationary distributions
of Markov chains through perturbations", Journal of Applied
Mathematics and Stochastic Analysis, 4(l), 29-46.
J J (1992). "Stationary distributions and mean first passage
times in Markov chains using generalised inverses", Asia-Pacific
Journal Operational Research, 9,145-153.
J J (1995). "Mathematical Techniques for Warranty Analysis",
Chapter 7, pp 157-190, Product Warranty Handbook; WR Blischke
and DNP Murthy Eds., Marcel Dekker, New York, N.Y.