Modelling of a \(\mathrm{MAP/PH(1)}\), \(\mathrm{PH}(2)/2\) production inventory system with multiple servers and production vacations

DOI10.1007/978-3-031-32990-6_15MaRDI QIDQ6201647

Pathari Beena, K. P. Jose

Publication date: 25 March 2024

Published in: Information Technologies and Mathematical Modelling. Queueing Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

cost analysisMarkovian arrival processmultiple vacationsmultiple serversproduction vacation

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Cites Work

• Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli vacations
• Control of the service process in a queueing system
• Queueing systems with vacations - a survey
• The production-inventory problem of a product with time varying demand, production and deterioration rates
• \(MAP/PH(1)\), \(PH(2)/2\) finite retrial inventory system with service facility, multiple vacations for servers
• A production-inventory system with a Markovian service queue and lost sales
• On a retrial production inventory system with vacation and multiple servers
• Production inventory with service time and interruptions
• Inventory model with two rates of production for deteriorating items with permissible delay in payments
• Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers
• Time-dependent process of M/G/1 vacation models with exhaustive service
• An M/M/s Queue With Servers’ Vacations
• A logarithmic reduction algorithm for quasi-birth-death processes

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