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Table 1 A real-life setting of model parameters

From: A stochastic modeling approach for traffic analysis of a tramway system with virtual tags and local positioning

Parameter

Description

Value

Bound

The percentage of upper and lower bounds of the uniform distribution

variable: 1%, 3%,

 

representing the time taken by the tram to travel an ordinary segment of the line:

5%, 7%, 10%,

 

LowerBound=(ol/AverageVelocity)(1−Bound), and

and 15%.

 

UpperBound=(ol/AverageVelocity)(1+Bound).

 

Epsilon

The maximum error on the tram position calculated by the LDS system (Accuracy)

variable: 1, 3, 5, and 10.

TMax

The maximum time that a tram can wait in front of a tram signal

variable: 4, 8, 12, 16,

 

before contacting the OCC

and 20.

p

Probability that a message does not arrive at its destination

variable: 0, 0.001, 0.003,

  

0.005, and 0.01.

av

The starting time interval between the trams

variable: 20 and 30 s.

AverageVelocity

Average tram speed

14.0 m/s

RateIXL

IXL processing time in response to connection request and route request messages

0.1 s

RateNetwork

Time of transmission of a message from OBCU to IXL or from IXL to OBCU

0.08 s

Delay

The additional delay accumulated by a tram following the activation of the manual procedure

120 s

lentc

The length of Track Circuit

45 m

nl

The total number of segments

569

nt

The total number of trams

36

ol

The length of the ordinary segment

50 m

rrtotl

The distance between the Route Request Tag and the tram signal

85 m

pt

The time at the tram platform

20 s