scholarly journals On the reversibility of the input and output processes for a general birth-and-death queueing model

1977 ◽  
Vol 14 (4) ◽  
pp. 876-883 ◽  
Author(s):  
Bent Natvig
Keyword(s):  
Steady State ◽  
Queueing Model ◽  
Input And Output ◽  
First Case ◽  
State Behaviour ◽  
Steady State Behaviour

In this paper we consider the general birth-and-death queueing model of Natvig (1975). Define the input and output processes by the steady-state behaviour of respectively successive input and output intervals. Ignoring balking customers, two cases are considered. In the first case we treat a lost customer neither as an input nor as an output, then secondly as both. For both cases we show the input and output processes to be reverse processes. One mistake and two erroneous comments in Natvig (1975) are also corrected.

scholarly journals On the reversibility of the input and output processes for a general birth-and-death queueing model

1977 ◽  
Vol 14 (04) ◽  
pp. 876-883 ◽  
Author(s):  
Bent Natvig
Keyword(s):  
Steady State ◽  
Queueing Model ◽  
Input And Output ◽  
First Case ◽  
State Behaviour ◽  
Steady State Behaviour

In this paper we consider the general birth-and-death queueing model of Natvig (1975). Define the input and output processes by the steady-state behaviour of respectively successive input and output intervals. Ignoring balking customers, two cases are considered. In the first case we treat a lost customer neither as an input nor as an output, then secondly as both. For both cases we show the input and output processes to be reverse processes. One mistake and two erroneous comments in Natvig (1975) are also corrected.

On the input and output processes for a general birth-and-death queueing model

1975 ◽  
Vol 7 (03) ◽  
pp. 576-592 ◽  
Author(s):  
Bent Natvig
Keyword(s):  
Steady State ◽  
Arrival Rate ◽  
Queueing Model ◽  
System State ◽  
Input And Output ◽  
Service Completion ◽  
First Case ◽  
Inputs And Outputs

The steady-state input and output processes are considered for a birth-and-death queueing model with N waiting positions (0 ≦ N ≦ ∞), s servers (1 ≦ s ≦ ∞) and an arbitrary queueing discipline. Let an index n indicate that the quantity in question depends on the system state but not on time t. The instantaneous arrival rate is λ, the probability of balking (i.e., not trying to obtain service) being ξ n. The instantaneous departure rate, μn , of customers having joined the system is the sum of the rate of service completions and the rate of defections before service completion. Three cases are considered. We start by ignoring balking customers; in the first case treating a lost customer neither as an input nor as an output, then secondly as both. Finally, balking and lost customers are considered both as inputs and outputs.

On the input and output processes for a general birth-and-death queueing model

1975 ◽  
Vol 7 (3) ◽  
pp. 576-592 ◽  
Author(s):  
Bent Natvig
Keyword(s):  
Steady State ◽  
Arrival Rate ◽  
Queueing Model ◽  
System State ◽  
Input And Output ◽  
Service Completion ◽  
First Case ◽  
Inputs And Outputs

The steady-state input and output processes are considered for a birth-and-death queueing model with N waiting positions (0 ≦ N ≦ ∞), s servers (1 ≦ s ≦ ∞) and an arbitrary queueing discipline. Let an index n indicate that the quantity in question depends on the system state but not on time t. The instantaneous arrival rate is λ, the probability of balking (i.e., not trying to obtain service) being ξn. The instantaneous departure rate, μn, of customers having joined the system is the sum of the rate of service completions and the rate of defections before service completion. Three cases are considered. We start by ignoring balking customers; in the first case treating a lost customer neither as an input nor as an output, then secondly as both. Finally, balking and lost customers are considered both as inputs and outputs.

Micro-Macro Modeling of the Isothermal Steady-State Behaviour of Semi-Solids

2004 ◽  
Vol 7 (1-2) ◽  
pp. 177-194 ◽  
Author(s):  
Véronique Favier ◽  
Carole Rouff ◽  
Régis Bigot ◽  
Marcel Berveiller ◽  
Marc Robellet
Keyword(s):  
Steady State ◽  
Macro Modeling ◽  
State Behaviour ◽  
Steady State Behaviour

Power Limits in Stepping and other Small Brushless Motors — A Simple Approach Using the Blondel Circle Diagram

1988 ◽  
Vol 25 (3) ◽  
pp. 251-264
Author(s):  
A. Hughes ◽  
D. W. J. Pulle
Keyword(s):  
Steady State ◽  
Simple Approach ◽  
Brushless Motors ◽  
Undergraduate Level ◽  
State Behaviour ◽  
Power Limits ◽  
Circle Diagram ◽  
Steady State Behaviour

Brushless drives are important, but are often thought to be difficult to treat quantitatively at the undergraduate level. The Blondel circle diagram is shown to be ideal for illuminating the steady-state behaviour and limitations of small brushless system, at a level suitable for undergraduate courses.

Computational analysis of the steady state performance of an adjustable/controllable multi-pad bearing profile under LBP orientations

2020 ◽  
pp. 095440622095770
Author(s):  
Girish Hariharan ◽  
Raghuvir Pai
Keyword(s):  
Steady State ◽  
Theoretical Model ◽  
Theoretical Analysis ◽  
Film Thickness ◽  
Computational Analysis ◽  
Fluid Film ◽  
Adjustable Mechanism ◽  
State Behaviour ◽  
Steady State Behaviour ◽  
Steady State Performance

A theoretical model of a four-pad bearing profile with unique adjustable or controllable features is simulated in the present study by considering load directed between the pads. Radial and tilt adjustable mechanism of the four bearing pads can effectively control and modify the rotor operating behaviour. Inward and outward motions of the bearing pads result in the generation of narrow and broader convergent regions, which directly influences the fluid film pressures. In the theoretical analysis, load-between-pad (LBP) orientations and pad adjustment configurations are taken account of by employing a modified film thickness equation. The effect of load position in influencing the steady state behaviour of the four-pad adjustable bearing under varied pad displaced conditions is analysed in this study. The outcome of the analysis highlighted the effectiveness of four-pad adjustable bearing in improving the steady state performance by operating under negative adjustment conditions and with load acting on the bearing pads.

scholarly journals The steady-state behaviour of multistate monotone systems

1984 ◽  
Vol 21 (04) ◽  
pp. 826-835 ◽  
Author(s):  
Bent Natvig ◽  
Arnfried Streller
Keyword(s):  
Steady State ◽  
Explicit Formula ◽  
Point Process ◽  
Critical Level ◽  
Monotone Systems ◽  
State Behaviour ◽  
The Mean ◽  
Stationary Interval ◽  
Mean Time ◽  
Steady State Behaviour

In this paper the steady-state behaviour of multistate monotone systems of multistate components is considered by applying the theory for stationary and synchronous processes with an embedded point process. After reviewing some general results on stationary availability, stationary interval availability and stationary mean interval performance probabilities, we concentrate on systems with independently working and separately maintained components. For this case an explicit formula is given for the mean time which the system in steady state sojourns in states not below a fixed critical level.

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