Cost Optimization of a Queueing Inventory System with Two Level Supply mode, Retrial Demands and Multiple Vacations Using Genetic Algorithm

Jain, Mridula; Kumar, Indeewar

doi:10.1007/s40819-023-01501-x

Cited by 4 publications

(1 citation statement)

References 26 publications

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“…Reiyas and Jeganathan [34] conducted a study on a standard retrial QIS that incorporates a two-component demand rate. Jain and Kumar [35] carried out an analysis of the optimization of costs in a QIS with two-level supply modes, retrial demands, and numerous vacations. To achieve this optimization, the researchers employed a genetic algorithm.…”

Section: Literature Reviewmentioning

confidence: 99%

Modeling of Junior Servers Approaching a Senior Server in the Retrial Queuing-Inventory System

Jeganathan,

Harikrishnan,

Lakshmanan

et al. 2023

Mathematics

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This article deals with the queuing-inventory system, composed of c junior servers, a senior server, two finite waiting halls, and an infinite orbit. On occasion, junior servers encounter challenges during customer service. In these instances, they approach the senior server for guidance in resolving the issue. Suppose the senior server is engaged with another junior server. The approaching junior servers await their turn in a finite waiting area with a capacity of c for consultation. Concerning this, we study the performance of junior servers approaching the senior server in the retrial queuing-inventory model with the two finite waiting halls dedicated to the primary customers and the junior servers for consultation. We formulate a level-dependent QBD process and solve its steady-state probability vector using Neuts and Rao’s truncation method. The stability condition of the system is derived and the R matrix is computed. The optimum total cost has been obtained, and the sensitivity analyses, which include the expected total cost, the waiting time of customers in the waiting hall and orbit, the number of busy servers, and a fraction of the successful retrial rate of the model, are computed numerically.

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Section: Literature Reviewmentioning

confidence: 99%