Analysis of MAP(1), MAP(2)/ PH/ 1 non-preemptive priority queueing model under classical retrial policy with breakdown, repair, discouragement, single vacation, standby server, negative arrival and impatient customers
From MaRDI portal
Publication:2114634
DOI10.1007/s40819-021-01126-yzbMath1499.60315OpenAlexW3193385984WikidataQ114852181 ScholiaQ114852181MaRDI QIDQ2114634
Publication date: 15 March 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-01126-y
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
- Matrix-analytic methods in queueing theory
- A single-server discrete-time retrial \(G\)-queue with server breakdowns and repairs
- A retrial queue with redundancy and unreliable server
- Analysis of a retrial queuing model with MAP arrivals and two types of customers.
- Quasi-birth-and-death Markov processes with a tree structure and the MMAP[K/PH[K]/N/LCFS non-preemptive queue]
- \(G\)-networks: A versatile approach for work removal in queueing networks
- \(MAP_ 1,MAP_ 2/M/c\) retrial queue with the retrial group of finite capacity and geometric loss.
- An \(\mathrm{M}^{[X}/\mathrm{G}(a,b)/1\) queueing system with breakdown and repair, stand-by server, multiple vacation and control policy on request for re-service]
- Transient analysis of \(\mathrm{M}^{[X_1},\mathrm{M}^{[X_2]}/\mathrm{G}_1,\mathrm{G}_2/1\) retrial queueing system with priority services, working vacations and vacation interruption, emergency vacation, negative arrival and delayed repair]
- On the steady-state system size distribution for a discrete-time \(\mathrm{Geo}/\mathrm{G}/1\) repairable queue
- The MAP/(PH/PH)/1 queue with self-generation of priorities and non-preemptive service
- A disaster queue with Markovian arrivals and impatient customers
- The BMAP/PH/N retrial queue with Markovian flow of breakdowns
- A RETRIAL QUEUEING MODEL WITH MAP ARRIVALS, CATASTROPHIC FAILURES WITH REPAIRS, AND CUSTOMER IMPATIENCE
- A single-server queue with server vacations and a class of non-renewal arrival processes
- A versatile Markovian point process
- Product-form queueing networks with negative and positive customers
- A logarithmic reduction algorithm for quasi-birth-death processes
- Steady state solution of a single-server queue with linear repeated requests
- On a single server queue with negative arrivals and request repeated
