Applied Mathematics & Information Sciences

Author Country (or Countries)

South Africa.


In this paper, we developed a model of a retrial inventory system in which there exists two-stage service. The demanded item is delivered to the customer after a random time of service. The interarrival times of customers, lead times, the retrial times and service times are assumed to have independent exponential distribution. The joint probability distribution of the number of customers in the system and the inventory level is obtained in the steady state case. Some important system performance measures and the long run total expected cost rate are calculated. We numerically demonstrate the model and investigate the impact of different model-parameters on the optimal decisions.

Digital Object Identifier (DOI)