Duality in Truncated Steady-State Erlang Distribution-Based Queueing Processes

Using the theory of point processes, we give a formal treatment to queueing processes in the steady state. Based on this result, we obtain invariance relations between several quantities in G/G/c queues. As applications, the finiteness of their moments is discussed for G/G′/c queues. The basic results and notations used in this paper are contained in the author's previous paper (Miyazawa (1977)).

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A formal approach to queueing processes in the steady state and their applications

Journal of Applied Probability ◽

10.2307/3212901 ◽

1979 ◽

Vol 16 (2) ◽

pp. 332-346 ◽

Cited By ~ 44

Author(s):

Masakiyo Miyazawa

Keyword(s):

Steady State ◽

Point Processes ◽

Formal Approach ◽

Formal Treatment ◽

Queueing Processes

Using the theory of point processes, we give a formal treatment to queueing processes in the steady state. Based on this result, we obtain invariance relations between several quantities in G/G/c queues. As applications, the finiteness of their moments is discussed for G/G′/c queues. The basic results and notations used in this paper are contained in the author's previous paper (Miyazawa (1977)).

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A STUDY ON A TWO UNIT STANDBY SYSTEM WITH ERLANGIAN REPAIR TIME

Asia Pacific Journal of Operational Research ◽

10.1142/s0217595904000242 ◽

2004 ◽

Vol 21 (03) ◽

pp. 271-277 ◽

Cited By ~ 20

Author(s):

P. CHANDRASEKHAR ◽

R. NATARAJAN ◽

V. S. S. YADAVALLI

Keyword(s):

Steady State ◽

System Performance ◽

Time Distribution ◽

Repair Time ◽

Erlang Distribution ◽

System Availability ◽

Asymptotically Normal ◽

Standby System ◽

Mean Time ◽

Asymptotically Normal Estimator

A two-unit cold standby system is considered. The failure rate of a unit is a constant and the repair time distribution is a two-stage Erlang distribution. Measures of system performance such as reliability, mean time before failure, system availability, and steady-state availability are derived. Also, a consistent asymptotically normal estimator and a 100(1-α)% asymptotic confidence interval for the steady-state availability of the system are obtained.

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Steady-state behaviour of serial queueing processes with impatient customers

Series Statistics ◽

10.1080/02331888408801769 ◽

1984 ◽

Vol 15 (2) ◽

pp. 289-298

Author(s):

Man Singh

Keyword(s):

Steady State ◽

Impatient Customers ◽

State Behaviour ◽

Queueing Processes ◽

Steady State Behaviour

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Studies on Water in the Hydration Chamber of a Modified Electron Microscope

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100069715 ◽

1970 ◽

Vol 28 ◽

pp. 544-545

Author(s):

R. C. Moretz ◽

G. G. Hausner ◽

D. F. Parsons

Keyword(s):

Thin Film ◽

Thin Films ◽

Electron Microscope ◽

Steady State ◽

Room Temperature ◽

Small Mass ◽

Equilibrium Pressure ◽

Biological Objects ◽

Mechanical Pump ◽

Differential Pumping

Use of the electron microscope to examine wet objects is possible due to the small mass thickness of the equilibrium pressure of water vapor at room temperature. Previous attempts to examine hydrated biological objects and water itself used a chamber consisting of two small apertures sealed by two thin films. Extensive work in our laboratory showed that such films have an 80% failure rate when wet. Using the principle of differential pumping of the microscope column, we can use open apertures in place of thin film windows.Fig. 1 shows the modified Siemens la specimen chamber with the connections to the water supply and the auxiliary pumping station. A mechanical pump is connected to the vapor supply via a 100μ aperture to maintain steady-state conditions.

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Continuous hydrogenolysis of acetal-stabilized lignin in flow

Green Chemistry ◽

10.1039/d0gc02928a ◽

2021 ◽

Author(s):

Wu Lan ◽

Yuan Peng Du ◽

Songlan Sun ◽

Jean Behaghel de Bueren ◽

Florent Héroguel ◽

...

Keyword(s):

Steady State ◽

Challenges And Opportunities

We performed a steady state high-yielding depolymerization of soluble acetal-stabilized lignin in flow, which offered a window into challenges and opportunities that will be faced when continuously processing this feedstock.

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