This paper investigates a stock-dependent arrival process (SDAP) and queuedependent service process (QDSP) in the stochastic queueing-inventory system (SQIS). The arriving units in the system generated from the finite source population. The arrival process holds the properties of quasi-random process and its intensity rate is defined based on the two-component demand rate (TCDR). The customers departure time is exponentially distributed. The concepts of non-SDAP and SDAP, non-QDSP and QDSP are to be generalized. The inventory system may have the perishable quality of the products. It adopts the (s, Q) reordering policy whenever the replenishment is required. Further, the join probability distribution of a Markov process is derived and necessary system performance measures are computed. The comparative discussion is presented to improve the quality of this model.