Stochastic theory of compartments: One and two compartment systems

✍ Scribed by Peter Purdue

• Publisher: Springer
• Year: 1974
• Tongue: English
• Weight: 417 KB
• Volume: 36
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(74)80052-2

✦ Synopsis

P r e v i o u s work on c o m p a r t m e n t a l systems is generalized (i) to allow t h e particles p r e s e n t a t t i m e zero to h a v e a different lifetime d i s t r i b u t i o n t h a n those which arrive after t i m e zero, a n d (ii) to allow a particle which enters t h e s y s t e m a t t i m e t to h a v e a lifetime d i s t r i b u t i o n which is a f u n c t i o n of t b u t is otherwise quite general. T h e one a n d two c o m p a r t m e n t models are a n a l y z e d u n d e r t h e a b o v e conditions a n d c o m p a r e d to previous results of T h a k u r et al. (1974), P u r d u e (1974) a n d Cardenas a n d )/[atis (1974). l~inally, some results for t h e two c o m p a r t m e n t , reversible s y s t e m are given. T h e analysis used is a b l e n d of direct r a n d o m v a r i a b l e a n d queueing theoretic techniques.