Optimal Control of Birth and Death Processes and Queues,
Abstract
We consider a controlled birth and death process that moves as follows. Upon reaching a state i a pair of birth-death parameters (lambda, mu), is selected from a prescribed set. Then the process remains in the state i until a birth or death occurs according to these parameters, at which time a pair of birth-death parameters is again selected. This is repeated indefinitely. A cost of c(lambda, mu) + h(i) per unit time is incurred for selecting (lambda, mu) when the process is in state i, and a reward is received for each birth. A policy is a rule for successively selecting the birth-death parameters as a function of the state of the process.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1977
- Accession Number
- ADA042123
Entities
People
- Richard F. Serfozo
Organizations
- Syracuse University