Version 1
: Received: 8 December 2023 / Approved: 8 December 2023 / Online: 11 December 2023 (04:41:58 CET)
How to cite:
Thanushkodi, H.; Kathirvel, J.; Krishnasamy, S.; Vishnukumaran, A.K.; Sztrik, J. A Finite Source Stock-dependent Stochastic Inventory System with Heterogeneous Servers and Retrial Facility. Preprints2023, 2023120604. https://doi.org/10.20944/preprints202312.0604.v1
Thanushkodi, H.; Kathirvel, J.; Krishnasamy, S.; Vishnukumaran, A.K.; Sztrik, J. A Finite Source Stock-dependent Stochastic Inventory System with Heterogeneous Servers and Retrial Facility. Preprints 2023, 2023120604. https://doi.org/10.20944/preprints202312.0604.v1
Thanushkodi, H.; Kathirvel, J.; Krishnasamy, S.; Vishnukumaran, A.K.; Sztrik, J. A Finite Source Stock-dependent Stochastic Inventory System with Heterogeneous Servers and Retrial Facility. Preprints2023, 2023120604. https://doi.org/10.20944/preprints202312.0604.v1
APA Style
Thanushkodi, H., Kathirvel, J., Krishnasamy, S., Vishnukumaran, A.K., & Sztrik, J. (2023). A Finite Source Stock-dependent Stochastic Inventory System with Heterogeneous Servers and Retrial Facility. Preprints. https://doi.org/10.20944/preprints202312.0604.v1
Chicago/Turabian Style
Thanushkodi, H., Anzen Koffer Vishnukumaran and Janos Sztrik. 2023 "A Finite Source Stock-dependent Stochastic Inventory System with Heterogeneous Servers and Retrial Facility" Preprints. https://doi.org/10.20944/preprints202312.0604.v1
Abstract
This article deals with a finite-source stock-dependent stochastic inventory system with heterogeneous servers and retrial facility. The system can store up to S number of items, and the lifetime of each item follows an exponential distribution. The primary customers arrive in a finite waiting hall from a finite source and get service from the multi-channel (c-heterogeneous servers). The customer’s arrival rate depends on the present stock level. Those customers who arrive while the waiting hall is full enter into the finite orbit. Also, customers in the waiting hall can become impatient and enter the orbit. The (s,Q) ordering policy is adopted for the replenishment of stocks. In the steady state, the joint probability distribution of a number of items in the inventory, busy servers, customers in the waiting hall, and orbit is computed. The comparative numerical analysis of heterogeneous and homogeneous servers on the expected total cost, the average number of customers in the waiting hall and orbit, the fraction of successful retrial rate, and the average impatient customer rate are also carried out.
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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