Analysis of M / M /1/ N Stochastic Queueing—Inventory System with Discretionary Priority Service and Retrial Facility

K. Jeganathan, S. Vidhya, R. Hemavathy, N. Anbazhagan, Gyanendra Prasad Joshi, Chanku Kang and Changho Seo
Additional contact information
K. Jeganathan: Ramanujan Institute for Advanced Study in Mathematics University of Madras, Chepauk, Chennai 600005, India
S. Vidhya: Department of Mathematics, Queen Mary’s College, Chennai 600005, India
R. Hemavathy: Department of Mathematics, Queen Mary’s College, Chennai 600005, India
N. Anbazhagan: Department of Mathematics, Alagappa University, Karaikudi 630003, India
Gyanendra Prasad Joshi: Department of Computer Science and Engineering, Sejong University, Seoul 05006, Korea
Chanku Kang: Department of Convergence Science, Kongju National University, Gongju 32588, Korea
Changho Seo: Department of Convergence Science, Kongju National University, Gongju 32588, Korea

Sustainability, 2022, vol. 14, issue 10, 1-29

Abstract: In this paper, we analyze a queueing–inventory system with two classes of customers, high priority (HP) and low priority (LP), under the discretionary priority discipline. The LP customers are served in two stages: preliminary service in stage-I and main service in stage-II. In contrast, HP customers require only the main service. Whenever the inventory level is less than the threshold level during the stage-I service of an LP customer, an arriving HP customer is allowed to interrupt the service of an LP customer by adopting the mixed-priority discipline. Otherwise, non-preemptive priority discipline is used in both stages. The interrupted LP customer moves to orbit and retries for the service whenever the server is free. The waiting hall of finite capacity is afforded for the HP customer only. The orbital search is provided for LP customers in orbit. The inventory is replenished following the ( s , Q ) ordering policy, with the lifetimes of the items being exponentially distributed. An expression for the stability condition is determined explicitly, and system performance measures are evaluated. Numerical examples are formulated for different sets of input values of the parameters.

Keywords: discretionary priority; mixed priority; preemptive priority; non-preemptive priority; infinite orbit (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2071-1050/14/10/6370/pdf (application/pdf)
https://www.mdpi.com/2071-1050/14/10/6370/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jsusta:v:14:y:2022:i:10:p:6370-:d:822213

Access Statistics for this article

Sustainability is currently edited by Ms. Alexandra Wu

More articles in Sustainability from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().