Question

**Problem 16-05 (Algorithmic)**

A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.9 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.6. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes.

- Assume that you are a motorist entering the traffic system and
receive a radio report of a traffic delay. What is the probability
that for the next 60 minutes (two time periods) the system will be
in the delay state? Note that this result is the probability of
being in the delay state for two consecutive periods. If required,
round your answer to three decimal places.

- What is the probability that in the long run the traffic will
not be in the delay state? If required, round your answers to three
decimal places.

- An important assumption of the Markov process model presented here has been the constant or stationary transition probabilities as the system operates in the future. Do you believe this assumption should be questioned for this traffic problem? Explain.

Answer #1

Problem 16-05 (Algorithmic)
A major traffic problem in the Greater Cincinnati area involves
traffic attempting to cross the Ohio River from Cincinnati to
Kentucky using Interstate 75. Let us assume that the probability of
no traffic delay in one period, given no traffic delay in the
preceding period, is 0.9 and that the probability of finding a
traffic delay in one period, given a delay in the preceding period,
is 0.6. Traffic is classified as having either a delay or...

A major traffic problem in the Greater Cincinnati area involves
traffic attempting to cross the Ohio River from Cincinnati to
Kentucky using Interstate 75. Let us assume that the probability of
no traffic delay in one period, given no traffic delay in the
preceding period, is 0.85 and that the probability of finding a
traffic delay in one period, given a delay in the preceding period,
is 0.65. Traffic is classified as having either a delay or a
no-delay state,...

A major traffic problem in the Greater Cincinnati area involves
traffic attempting to cross the Ohio River from Cincinnati to
Kentucky using Interstate 75. Let us assume that the probability of
no traffic delay in one period, given no traffic delay in the
preceding period, is 0.85 and that the probability of finding a
traffic delay in one period, given a delay in the preceding period,
is 0.65. Traffic is classified as having either a delay or a
no-delay state,...

A major traffic problem in the Greater Cincinnati area involves
traffic attempting to cross the Ohio River from Cincinnati to
Kentucky using Interstate 75. Let us assume that the probability of
no traffic delay in one period, given no traffic delay in the
preceding period, is 0.8 and that the probability of finding a
traffic delay in one period, given a delay in the preceding period,
is 0.7. Traffic is classified as having either a delay or a
no-delay state,...

Problem 16-03 (Algorithmic)
The computer center at Rockbottom University has been
experiencing computer downtime. Let us assume that the trials of an
associated Markov process are defined as one-hour periods and that
the probability of the system being in a running state or a down
state is based on the state of the system in the previous period.
Historical data show the following transition probabilities:
To
From
Running
Down
Running
0.80
0.20
Down
0.30
0.70
If the system is initially...

Problem 16-07 (Algorithmic)
Data collected from selected major metropolitan areas in the
eastern United States show that 6% of individuals living within the
city limits move to the suburbs during a one-year period, while 2%
of individuals living in the suburbs move to the city during a
one-year period. Answer the following questions assuming that this
process is modeled by a Markov process with two states: city and
suburbs.
Prepare the matrix of transition probabilities.
City
Suburbs
City
__________
_________...

What tools could AA leaders have used to increase their
awareness of internal and external issues?
???ALASKA AIRLINES: NAVIGATING CHANGE
In the autumn of 2007, Alaska Airlines executives adjourned at
the end of a long and stressful day in the
midst of a multi-day strategic planning session. Most headed
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on the shore of Semiahmoo Spit, outside the meeting venue in
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Washington state.
Meanwhile, several members of...

Delta airlines case study
Global strategy. Describe the current global
strategy and provide evidence about how the firms resources
incompetencies support the given pressures regarding costs and
local responsiveness. Describe entry modes have they usually used,
and whether they are appropriate for the given strategy. Any key
issues in their global strategy?
casestudy:
Atlanta, June 17, 2014. Sea of Delta employees and their
families swarmed between food trucks, amusement park booths, and
entertainment venues that were scattered throughout what would...

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