What is the delay of the 20th vehicle to arrive

Reference no: EM131142353

Vehicles begin arriving at a single toll-road booth at 8:00am at a time-dependent deterministic rate of λ(t) = 2 + 0.1t (with λ(t) in veh/min and t in minutes). At 8:07 A.M. the toll booth opens and vehicles are serviced at a constant deterministic rate of 6 veh/min. Assuming D/D/1 queuing, what is the average delay per vehicle from 8:00 A.M. until the initial queue clears and what is the delay of the 20th vehicle to arrive?

Reference no: EM131142353

Questions Cloud

Describe how exactly the given technology works : Discuss what it accomplishes. Elaborate on the scientific principles that make this technology possible. Describe how exactly the technology works. Discuss the biological principles that underlie this technology.

Define the variables : The data may be used for quality measures, patient inputs, demographics, financial data, etc. Define the variables. Include information on how the data is collected. Create a mock data set table and Create a scatter plot and include a regression line

Determine the longest queue : Determine the longest queue, the total delay from 8 A.M. until the queue dissipates; and the wait time of the 40th vehicle to arrive.

What condition is due to an increase in blood ph : What is the neuromuscular junction? How does calcium relate to muscle contractions? The buffer system is essential for overall body homeostasis. What condition is due to an increase in blood pH?

What is the delay of the 20th vehicle to arrive : Assuming D/D/1 queuing, what is the average delay per vehicle from 8:00 A.M. until the initial queue clears and what is the delay of the 20th vehicle to arrive?

What will be the total vehicle delay : The toll booth opens at 9:00 A.M. and processes vehicles at a rate of 12 per minute throughout the day. Assuming D/D/1 queuing, when will the queue dissipate and what will be the total vehicle delay?

When does fertilization occur in the mushroom life cycle : What global climatic change gave gymnosperms an advantage over ferns? Where and when does fertilization occur in the mushroom life cycle?

How managers develop buy in from the various groups : "Buy-in" of the strategic direction of the organization is important.- How should managers develop buy-in from the various groups and areas within the organization?

Determine total delay and maximum queue length : Determine total delay, maximum queue length, and the time that the 20th vehicle to arrive waits from its arrival to its departure.

User Account

All Pages