You are not currently logged in.
Access JSTOR through your library or other institution:
Semi-Regenerative Processes with Unbounded Rewards
Mathematics of Operations Research
Vol. 4, No. 1 (Feb., 1979), pp. 70-78
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/3689240
Page Count: 9
You can always find the topics here!Topics: Markov processes, Stochastic processes, Mathematics, Customers, Mathematical functions, Matrices
Were these topics helpful?See somethings inaccurate? Let us know!
Select the topics that are inaccurate.
Preview not available
A semi-regenerative process (SRP) is combined with a reward structure such that the accumulated reward during [0, t] is the sum of a functional of the SRP and a functional of the embedded Markov renewal process (MRP). For the expected (discounted) return a Markov renewal equation (MRE) is given. The solution of the MRE is investigated using bounding functions in case the expected (discounted) return between two successive regeneration times of the MRP is not bounded as is the rule in many applications. Explicit limiting results for t → ∞ are given for the expected return in case of discounting and the return rate in case of no discounting.
Mathematics of Operations Research © 1979 INFORMS