Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales. (6th May 2022)

• Record Type: Journal Article
• Authors: Zhang, Yuying; Yue, Dequan; Sun, Li; Zuo, Jinpan
• Other Names: Yang Bo Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2022(2022)
• Publication Date: 2022-05-06
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2022/2333965
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : A queueing-inventory system with server's vacations and impatient customers is investigated. Continuous review s, S policy is considered for the queueing-inventory system. The server leaves for a vacation once the inventory is zero. The customer arrived waits for service with a probability p or is lost forever with a probability 1 − p when the server is off due to a vacation. Customers are impatient during period when the customer is waiting for service in the queue or when the server is off due to a vacation. The matrix geometric solution of the steady-state probability is obtained using the method of truncated approximation. Furthermore, some performance measures are obtained using the steady-state probability. Finally, the effect of system parameters on the performance measures, the optimal policy and the optimal cost are presented by numerical examples.