Queueing Models and Service Management
Queueing-inventory systems wherein the demands are processed with random service times have been getting a lot of attention recently. In such systems, each demand needs one or more inventory items and needs positive processing times. The inventory is generally replenished using -type policy and the lead times are assumed to be random. In this paper we introduce the concept of multiple vendors who will be responsible for the replenishment of inventory. Under the assumptions of a two-vendor system wherein the demands occurring according to a Markovian arrival process, the service times to be of phase type, and the lead times to be exponentially distributed with parameter depending on the vendor, we analyze the model in steady-state using the well-known matrix-analytic methods. Some interesting numerical examples are presented including one comparing the one and the two-vendor systems.
© 2020, Chakravarthy, Hayat Providence University, QMSM2019
Chakravarthy, Srinivas and Hayat, Khizer, "Queueing-Inventory Models for a Two-Vendor System with Positive Service Times" (2020). Industrial & Manufacturing Engineering Publications. 108.