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Abstract
This paper studies the optimal control of an N-policy two-phase MX/Ek/1 queueing system without gating and with server startup and breakdowns. Explicit expressions for the steady state distribution of the number of customers in the system are obtained and also derived various system measures. A cost model is formulated to determine the optimal operating policy at a minimum cost. Sensitivity analysis is performed through numerical illustrations.
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Notes on contributors
V. Vasanta Kumar
V. Vasanta Kumar is a Professor of the Faculty of Mathematics at K.L. University, Vaddeswaram, Andhra Pradesh, India. He obtained his M.Sc. in Statistics from Andhra University, Visakhapatnam, Andhra Pradesh, India and Ph.D. from Acharya Nagarjuna University, Andhra Pradesh, India. He has published several research papers in the area of Queueing Theory.
K. Chandan
Kotagiri Chandan is a Professor of Statistics at Acharya Nagarjuna University, Andhra Pradesh, India. He received his Ph.D. degree in Mathematics from Indian Institute of Technology, Kharagpur, India. His research interests include Queueing Theory, Statistics, Computer Science. His publications appeared in OPSEARCH, International Journal of Open Problems in Computer Science and Mathematics and others.
B. Ravi Teja
Bethapudi Ravi Teja is a research scholar in the Department of Statistics at Acharya Nagarjuna University, Andhra Pradesh, India. His research interests include Queueing Theory and Statistics.
B.V.S.N. Hari Prasad
B.V.S.N. Hari Prasad is an Associate Professor of the Faculty of Mathematics at S.R.K. Institute of Technology, Vijayawada, Andhra Pradesh, India. He obtained his M.Sc. and M.Phil. in Applied Mathematics from Andhra University. His research interests include Fixed Point Theory and Queueing Theory.