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Full-Text Articles in Operations Research, Systems Engineering and Industrial Engineering

A Retrial Queueing Model With Thresholds And Phase Type Retrial Times, Srinivas R. Chakravarthy May 2020

A Retrial Queueing Model With Thresholds And Phase Type Retrial Times, Srinivas R. Chakravarthy

Industrial & Manufacturing Engineering Publications

There is an extensive literature on retrial queueing models. While a majority of the literature on retrial queueing models focuses on the retrial times to be exponentially distributed (so as to keep the state space to be of a reasonable size), a few papers deal with nonexponential retrial times but with some additional restrictions such as constant retrial rate, only the customer at the head of the retrial queue will attempt to capture a free server, 2-state phase type distribution, and finite retrial orbit. Generally, the retrial queueing models are analyzed as level-dependent queues and hence one has to use …


Queueing-Inventory Models For A Two-Vendor System With Positive Service Times, Srinivas Chakravarthy, Khizer Hayat Jan 2020

Queueing-Inventory Models For A Two-Vendor System With Positive Service Times, Srinivas Chakravarthy, Khizer Hayat

Industrial & Manufacturing Engineering Publications

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 …