Operations Management: Processes and Supply Chains, Student Value Edition Plus MyLab Operations Management with Pearson eText -- Access Card Package (12th Edition)
12th Edition
ISBN: 9780134855424
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter B, Problem 8P
A
Summary Introduction
Interpretation: The operating characteristics of waiting line should be calculated.
Concept Introduction: Waiting line or Queuing method is the best practice for enhancing the service provided within an organization by utilizing their resources.
B
Summary Introduction
Interpretation: The probability that 10 trucks will arrive on the given day is to be calculated.
Concept Introduction: Queuing method is the best practice for enhance the service provided within an organization by utilizing their resources.
C
Summary Introduction
Interpretation: The performance difference the waiting line and the stations are to be concluded.
Concept Introduction: Queuing analysis is a method used for measuring the efficiency at each level performance.
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Pasquist Water Company (PWC) operates a 24-hour facil-ity designed to efficiently fill water-hauling tanker trucks.Trucks arrive randomly to the facility and wait in line to ac-cess a wellhead pump. Since trucks vary in size and the filling operation is manually performed by the truck driver, the timeto fill a truck is also random.a. If the manager of PWC uses the multiple-server modelto calculate the operating characteristics of the facility’swaiting line, list three assumptions she must make regard-ing the behavior of waiting trucks and the truck arrivalprocess.b. Suppose an average of 336 trucks arrive each day, thereare four wellhead pumps, and each pump can serve anaverage of four trucks per hour.▪ What is the probability that exactly 10 trucks will arrivebetween 1:00 p.m. and 2:00 p.m. on any given day?▪ How likely is it that once a truck is in position at a well-head, the filling time will be less than 15 minutes?c. Contrast and comment on the performance differencesbetween:▪…
Pasquist Water Company (PWC) operates a 24-hour facility designed to efficiently fill water-hauling tanker trucks. Trucks arrive randomly to the facility and wait in line to access a wellhead pump. Since trucks vary in size and the filling operation is manually performed by the truck driver, the time to fill a truck is also random.a. If the manager of PWC uses the multiple-server model to calculate the operating characteristics of the facility’s waiting line, list three assumptions she must make regarding the behavior of waiting trucks and the truck arrival process.b. Suppose an average of 336 trucks arrive each day, there are four wellhead pumps, and each pump can serve an average of four trucks per hour.▪ What is the probability that exactly 10 trucks will arrive between 1:00 p.m. and 2:00 p.m. on any given day?▪ How likely is it that once a truck is in position at a wellhead, the filling time will be less than 15 minutes?c. Contrast and comment on the performance differences…
Ali Baba‘s Car Wash Service Centre is open 6 days a week, but its busiest day isalways on Sunday. From the previous data, Ali Baba estimates that dirty carsarrive at the rate of one every two minutes. One car at a time is cleaned in thisexample of a single-channel waiting line. Assuming Poisson arrivals andexponential service times, find the following:
a.Compute the average number of cars in line.
b.Calculate the value of probability that there are no car in the system.
c.Compute the average time that a car spends in the system.
Chapter B Solutions
Operations Management: Processes and Supply Chains, Student Value Edition Plus MyLab Operations Management with Pearson eText -- Access Card Package (12th Edition)
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