A MAP/M/1 production inventory model with varying PH distributed production rates.

This paper analyses a production inventory model with varying production rates where demand is according to Marko-vian arrival process (MAP). The time between additions of two successive items by production to the inventory follows Phase type distribution. When the inventory level decreases to a predetermined level production starts and the rate of production is higher until the number of items in the inventory crosses that level. The arriving customers are directed to a buffer of finite capacity equal to the current inventory level and service times are exponentially distributed. An arriving customer who notices the buffer full, proceeds to an orbit of infinite capacity and retry from there. Inter-retrial times follow an exponential distribution. Various system performance measures of the model are defined. A suitable cost function is also constructed. [ABSTRACT FROM AUTHOR]