Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

Ladder heights and the Markov-modulated M/G/1 queue

11 references·11 citing·34 second hop

FromToDepth

this work references cited by second hop

References

1987Applied Probability and Queues2,704 cited
1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
1991New results on the single server queue with a batch markovian arrival process1,085 cited
1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
1985Matrix-geometric solutions in stochastic models871 cited
1980The N/G/1 queue and its detailed analysis286 cited
1989Risk theory in a Markovian environment227 cited
1989Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue108 cited
1987A subjective Bayesian approach to the theory of queues II ? Inference and information in M/M/1 queues82 cited
1986An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals70 cited
1986The Queue M|G|1 with Markov Modulated Arrivals and Services53 cited

Cited by

1992Computational methods in risk theory: A matrix-algorithmic approach86 cited
1994Large claims approximations for risk processes in a Markovian environment56 cited
1992On cycle maxima, first passage problems and extreme value theory for queues50 cited
2015State-dependent M/G/1 queueing systems

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

48 cited

2001Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions43 cited

2001The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue36 cited

1993The MacLaurin expansion for a G/G/1 queue with Markov-modulated arrivals and services27 cited

2001Distributional Form of Little's Law for FIFO Queues with Multiple Markovian Arrival Streams and Its Application to Queues with Vacations25 cited

2002A matrix exponential form for hitting probabilities and its application to a Markov-modulated fluid queue with downward jumps24 cited

2014A Level Crossing Analysis of the MAP/G/1 Queue23 cited

1994Poisson's equation for queues driven by a Markovian marked point process19 cited