On \(\text{M}^{[x]}/{\text{G}_1\choose\text{G}_2}/1\) queue with optional re-service
type: Item
instance of: scholarly article
title: On \(\text{M}^{[x]}/{\text{G}_1\choose\text{G}_2}/1\) queue with optional re-service
zbMATH Open document ID: 1057.60088
DOI: 10.1016/S0096-3003(03)00545-9
author: K. C. Madan
author: Amjad D. Al-Nasser
author: Abedel-Quader Al-Masri
published in: Applied Mathematics and Computation
publication date: 2004-09-24T00:00:00Z
review text: The authors consider a single server queue with two types of heterogeneous service with optional re-service. It is assumed that the system receives bulk input in batches of variable size and that the server provides one by one service to customers on FIFO basis. Just before servicing each customer chooses a type of service. After completing the service the customer either leaves the system or demands re-service. Re-service commences immediately. The paper gives formulae for the generating functions of the steady queue size distribution and for the main average characteristics.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 2102856
zbMATH Keywords: optional re-service
zbMATH Keywords: heterogeneous service
reviewed by: Oleg K. Zakusilo
MaRDI profile type: Publication
cites work: Q3790368
cites work: Q3227941
cites work: The M/G/1 retrial queue with Bernoulli schedule
cites work: Queueing systems with vacations - a survey
cites work: Q3259990
cites work: Q3800856
cites work: Q3806522
cites work: Q4290621
cites work: On a single server queue with two-stage heterogeneous service and deterministic server vacations
cites work: Q3945277
cites work: On the M/G/1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines
cites work: On Stochastic Decomposition in M/G/1 Type Queues with Generalized Server Vacations
cites work: Priority Queues with Feedback
description: scientific article; zbMATH DE number 2102856