Density-Dependent Birth and Death Processes with Controlled Immigration
A density-dependent birth and death process in which immigration is permitted only when the number of particles in the system is less than a positive integer kis considered. An explicit expression for the probability generating function of the population size is obtained by using a direct and unconventional approach. Special cases are discussed.
Operations and Supply Chain Management | Operations Research, Systems Engineering and Industrial Engineering
Stochastic Analysis and Applications
Taylor and Francis
KUMAR, Krisna; PARTHASARATHY, P. R.; and MOOSA, Sharafali.
Density-Dependent Birth and Death Processes with Controlled Immigration. (1993). Stochastic Analysis and Applications. 11, (2), 181-196. Research Collection Lee Kong Chian School Of Business.
Available at: http://ink.library.smu.edu.sg/lkcsb_research/896