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B M B M TestofDiscreteEventSystems-12.10.2020

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Test of Discrete Event Systems - 12.10.2020

Exercise 1

A cart moves along a track. Sensors are located at three points on the track (they are denoted by A, B and C in the figure). Each sensor sends an impulse when the cart crosses the corresponding point, in both directions. For the sake of simplicity, it is assumed that the cart never changes direction when it is across a sensor.

xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx xxxxx

xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx xxxxxx

A B C

1. Provide a logical model of the cart position along the track.

2. Model a monitoring system which localizes the cart over the track, and detects possible failures of the sensors, by using only the signals it receives from the sensors.

Exercise 2

The production line in the figure is composed of two stations connected in series. Each station is composed of a machine Mi preceded by a one-place buffer Bi, i = 1, 2. Raw parts arriving when B1 is full, are rejected. If M1 terminates a job when B2 is full, M1 keeps the part (and therefore does not become available for a new job) until the part can be moved forward to B2. Assume that the production line is initially empty.

B

1

M

1

B

2

M

2 1. Model the production line through a state automaton (E, X , Γ, f, x0).

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