1.) Vehicles arrive at an entrance to a recreational park. There is a single gate (at...

1.) Vehicles arrive at an entrance to a recreational park. There is a single gate (at which
all vehicles must stop), where a park attendant distributes a free brochure. The park
opens at 08:00 am, at which time vehicles begin to arrive at a rate of 480 veh/hr. after
20 minutes the arrival flow rate declines at 120 veh/hr, and it continues at that level
for the remainder of the day. If the time required to distribute the brochure is 15
seconds and assuming D/D/1 queue,
a. Determine the maximum length of queue that occurred.
b. How long did it take to dissipate the queue?
c. What is the average delay per vehicle?
Show all necessary solutions and diagram

2.) Consider the entrance to the recreational park described in the previous question.
However, assuming that the average arrival rate is 180 veh/hr and Poisson-distributed
(negative exponential times between arrivals) over the entire period from park opening
time, 08:00 am until closing at dusk. Compute
a. The average length of queue
b. Average waiting time in the queue
c. Average time spent in the system

PLEASE ANSWER ALL QUESTION

Expert Solution

Ally Wells answered 1 year ago

Between 4:00PM and 6:00PM the vehicles arrive to the entrance ramp of a regional toll road...

Between 4:00PM and 6:00PM the vehicles arrive to the entrance ramp of a regional toll road at a constant rate of 1740 vehicles per hour. The toll plaza at the entrance ramp has five toll booths, which combined can process up to 34 vehicles per minute. At 4:30PM one of the toll booths is disabled due to electronics malfunction, which reduces the vehicle processing capacity of the toll plaza to 27 vehicles per minute. At 5:00 PM the toll booth...

Question 1 A camera is located 3km away from the entrance gate of a port to...

Question 1 A camera is located 3km away from the entrance gate of a port to count the number of incoming trucks. Trucks that have passed the camera but have not passed the gate are considered to be in the queueing system, in which some trucks are waiting to be serviced by the gate and the other trucks are being serviced by the gate. If truck A passes the camera before truck B, it will pass the gate no later...

1. Jerry Baldic is the owner of Pleasure Cruising Vehicles (PCV), a manufacturer of recreational vehicles...

1. Jerry Baldic is the owner of Pleasure Cruising Vehicles (PCV), a manufacturer of recreational vehicles (RVs). Sales have been slow lately due to a less than robust economy. As a result of this, PCV has begun accepting promissory notes from its dealers to help finance large orders. Today, PCV accepted a 90-day, 7.5% promissory note for S400 000 from Cross Country Touring, one of its sales dealers, who purchased three 40 foot RVs You are the manager of Bank...

1.At a road section, an average of 15 vehicles arrive during a 10-minute interval. If vehicles...

1.At a road section, an average of 15 vehicles arrive during a 10-minute interval. If vehicles arrive according to a Poisson distribution, what is the probability that the number of vehicles arriving during a 3-minute interval is between 2 and 5 (i.e., 2 ≤ k ≤ 5)? a.0.110 b.0.171 c.0.642 d.0.653 e.0.703 2.At a specific point on a highway, it is known that the time headways between successive vehicles are exponentially distributed and that 65% of the headways are greater...

Camping World is an American corporation specializing in selling recreational vehicles, recreational vehicle parts, and recreational...

Camping World is an American corporation specializing in selling recreational vehicles, recreational vehicle parts, and recreational vehicle service. They also sell supplies for camping. The company has its headquarters in Lincolnshire, Illinois. Due to differing competitive conditions, the price that Camping World charges for their products varies in each city. The price they charge for a particular sleeping bag in each city (in dollars) is provided in the table below, along with the number of sleeping bags that Camping World...

"Vehicles are prohibited on the paths in the park" is used as an example of a...

"Vehicles are prohibited on the paths in the park" is used as an example of a law that might require clarification. Decide whether the law should be interpreted to forbid motorcycles, bicycles, children's pedal cars, and battery-powered remote-control cars. On what grounds are you deciding each of these cases?

Lets consider again the willingness to pay for a hotel room and theme park entrance for...

Lets consider again the willingness to pay for a hotel room and theme park entrance for the four market segments. Also assume as before a market size of 5,000 individuals per day. Segment Room Theme Park Market Share Amusement Park Lover $200 $150 20% Luxury Lover $300 $50 10% Conference Devotee $325 $5 20% Disney Devotee $50 $200 50% Which would be the optimal price to maximize revenue for the Room and Theme Park, without considering the possibility of bundling?...

1. You’re riding your bike in the bike lane through Golden Gate Park. Suddenly, you drift...

1. You’re riding your bike in the bike lane through Golden Gate Park. Suddenly, you drift out of the bike lane and into automobile traffic. Fortunately, you quickly move back into the bike lane and continue toward Ocean Beach. This scenario is a metaphor for homeostasis, where the controlled condition (physiologic variable) is the position of the bike on the road (e.g., inside or outside the bike lane). Identify: (a) The established set point for the controlled condition (b) The...

1. Assume that a national park has recently allowed people to drive all terrain vehicles on...

1. Assume that a national park has recently allowed people to drive all terrain vehicles on trails throughout the park. These vehicles create noise that scare the park’s wildlife lessening the quality of visits for other park enthusiasts. You are asked to conduct a study to show the change in the park’s value. a) What specific valuation method should you use? b) How would you use that method? c) What are some problems that might results from your use of...

Vehicles begin to arrive at a parking lot at 6:00am at a rate of 8 per...

Vehicles begin to arrive at a parking lot at 6:00am at a rate of 8 per minute. Due to an accident on the access highway, no vehicles arrive from 6:20 to 6:30am. From 6:30am on, vehicles arrive at the rate of two per minute. The parking lot attendant processes incoming vehicles (collects parking fees) at the rate of four per minute throughout the day. Assuming D/D/1 queuing, draw a queuing (arrival-departure) diagram to present the events described and determine total...

Question