You own a gas station with one gas pump. Cars arrive at your gas station following...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
You own a gas station with one gas pump. Cars arrive at your gas station following a Poisson distribution. The average inter-arrival time is 1/3 hour. The time that the car's fueling follows the exponential distribution and the average time is 10 minutes. a) Calculate the expected number of cars in your station in the steady-state. b) For the customers, waiting time (excludes service time) costs $1 per minute. Calculate the expected waiting cost of a customer in the steady-state. c) What is the probability that a car spends more than 30 minutes in your station (includes service time) in the steady-state? d) For the customers, waiting time (excludes service time) costs $1 per minute. If you have one more gas pump, how much would be the expected waiting cost of a customer? You own a gas station with one gas pump. Cars arrive at your gas station following a Poisson distribution. The average inter-arrival time is 1/3 hour. The time that the car's fueling follows the exponential distribution and the average time is 10 minutes. a) Calculate the expected number of cars in your station in the steady-state. b) For the customers, waiting time (excludes service time) costs $1 per minute. Calculate the expected waiting cost of a customer in the steady-state. c) What is the probability that a car spends more than 30 minutes in your station (includes service time) in the steady-state? d) For the customers, waiting time (excludes service time) costs $1 per minute. If you have one more gas pump, how much would be the expected waiting cost of a customer?
Expert Answer:
Answer rating: 100% (QA)
a Lets define the arrival process as the number of cars arriving in a unit of time We know that the average interarrival time is 13 hour so the arriva... View the full answer
Related Book For
Practical Management Science
ISBN: 978-1305250901
5th edition
Authors: Wayne L. Winston, Christian Albright
Posted Date:
Students also viewed these general management questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
A gas station with only one gas pump employs the following policy: If a customer has to wait, the price is $3.50 per gallon; if she does not have to wait, the price is $4.00 per gallon. Customers...
-
The following scatter plot indicates that 200 150 > 100 50 0 0 20 X 40 O a log x transform may be useful Oa y transform may be useful a x transform may be useful Ono transform is needed Oa 1/x...
-
A 50-kg iron block and a 20-kg copper block, both initially at 80C, are dropped into a large lake at 15C. Thermal equilibrium is established after a while as a result of heat transfer between the...
-
Balance the following interior angles (angles-to-the-right) of a five-sided closed polygon traverse using method 1 of Section 10.2. If the azimuth of side AB is fixed at 74o 31' 17'', calculate the...
-
Plaintiff sought to enforce against the defendant estate a promise made by his now-deceased uncle to pay Plaintiff a sum of money if Plaintiff refrained from the use of alcohol and tobacco for a...
-
Farwell Company closes its books monthly. On September 30, selected ledger account balances are: Notes Receivable .......$37,000 Interest Receivable ....... 183 Notes Receivable include the...
-
16. Brenda's Balloon Shop is a price taker, and the table below shows its costs of production. Use it to answer the following questions: Output (balloons Total Cost (dollar per hour) per hour) 0 4 1...
-
1. (4) A blood pressure of 110 mm Hg is measured using a cuff over the wrist which is positioned 30 cm above heart level. According to Bernoulli's equation(given below), what is the blood pressure at...
-
AL Limited is a well-established producer of Bluetooth earphones. On 1 January 2018, a machine was purchased for $150,000 with a useful life of 12 years. Depreciation was calculated on a...
-
A project manager is in the finishing stage of their project. It is apparent that one of the projects deliverables will not be completed before the project is wrapped up. What options does the...
-
What major benefits do alliances seek?
-
Contracts can be terminated early for any of the following reasons except: a. default b. mutual agreement c. convenience of buyer d. convenience of seller
-
How do transaction costs influence the need for vertical integration?
-
Create a request for information for one portion of the project work that could be contracted out.
-
Two numbers have equal LCM and HCF, then they must be? 1. Prime Co prime 3. Natural 4. Integer 5. Equal 2.
-
The following T-accounts show postings of selected transactions. Indicate the journal used in recording each of these postings a through e. Cash Accounts Receivable Inventory (d) 500 (e) 300 (b)...
-
In the United Copiers service center model, we assumed that a customer is serviced totally by a single service center. Suppose a customer can be serviced partly by multiple service centers. For...
-
Based on Ravindran (1971). A library must build shelving to shelve 200 4-inch-high books, 600 8-inch-high books, and 500 12-inch-high books. Each book is 0.5 inch thick. The library has several ways...
-
AdminaStar processes Medicare claims. At the beginning of month 1 they have a backlog of 40,000 difficult claims and 60,000 easy claims. The predicted claim volume for months 1 through 8 is listed in...
-
a. The equation of the Phillips curve from 1970 to 1995 is: \[\pi_{t}-\pi_{t-1}=7.4 \%-1.2 u_{t}\] Calculate and define the natural rate of unemployment using this curve. b. The equation of the...
-
Suppose that the mark-up of goods prices over marginal cost is \(5 \%\), and that the wage-setting equation is: \[W=P(1-u)\] where \(u\) is the unemployment rate. a. What is the real wage, as...
-
How can a lockdown result in stagflation? A lockdown can have three different effects: a. The first happens when demand during the lockdown decreases so that actual output, \(Y_{t}\), falls exactly...
Study smarter with the SolutionInn App