a)
To determine: The service beginning time of Customer 3.
Introduction: Simulation is the model that can be used in operations, which would imitate the real world process. Simulation uses random sampling for the generation of realistic variability.
b)
To determine: The leaving time of Customer 5.
Introduction: Simulation is the model that can be used in operations, which would imitate the real world process. Simulation uses random sampling for the generation of realistic variability.
c)
To determine: The average waiting time in line.
Introduction: Simulation is the model that can be used in operations, which would imitate the real world process. Simulation uses random sampling for the generation of realistic variability.
d)
To determine: The average time in the system.
Introduction: Simulation is the model that can be used in operations, which would imitate the real world process. Simulation uses random sampling for the generation of realistic variability.
Want to see the full answer?
Check out a sample textbook solutionChapter F Solutions
Operations Management: Sustainability and Supply Chain Management (12th Edition)
- Question 4 CWD Business systems maintains a successful Telecom sales department for Top up call credit in which a clerk takes orders by telephone. If the clerk is occupied on one line, incoming phone calls to the department are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $15 per hour, but because of lost goodwill and sales, CWD loses about $30 per hour of customer time spent waiting for the clerk to take an order. Part A a. What is the probability that no customers are in the system (Po)? b. What is the average number of customers waiting for service ( Lq)? c. What is the average number of customers in the system (L)?d. What is the average time a…arrow_forwardQuestion 8.1 The computer lab at State University has a help desk to assist students working on computer spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help. Students are served based on a first-come, first-served priority rule. Students arrive at the help desk at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. a) What is the average time a student is in the lab? b) What is the average number of students in the lab? c) What is the average number of students waiting to receive service? d) What is the average time a student is in the queue? e) What is the probability that there are no students at the computer lab? f) What percentage of the time is the help desk busy? g) What is the probability that there are exactly 2 students in the lab? BUSI 2113 PRODUCTION AND ATIONS MANAGEMENT YORKVILLE UNIV ERSI TY…arrow_forwardQuestion 8.1 The computer lab at State University has a help desk to assist students working on computer spreadsheet assignments. The students patiently form a single line in front of the desk to wait for help. Students are served based on a first-come, first-served priority rule. Students arrive at the help desk at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed.arrow_forward
- Question 9 In Littlefield Labs, each order is processed at three stations before being completed and sent to customers. Suppose at the peak demand (i.e., after 180 days in the game) the flow rate is 10 orders per day. And the average inventory at station 1, station 2 and station 3 are 72, 65 and 70 kits, respectively (these include kits being processed as well as those in queues). What is the average lead time (in hours) o complete an order? Please specify your answer in at least 2 decimal points. (Remember 1 order has 60 kits, each day has 24 hours). Nextarrow_forwardD Question 29 Which of the following is NOT part of a linear programming model? O objective function O feasible region O nonnegativity constraints resource constraintsarrow_forwardQUESTION 10 MM2 has a queuing problem where customers who line up to pay their selections form the waiting line. The MM2 system consists of an arrival rate of 3 per hour according to a Poisson distribution, and service times are on average equal to 16 minutes per customer. What is the number of customers waiting in the queue on average? O&1.333 Ob.4.0 Oc.0.952 Od32 O.0.152arrow_forward
- QUESTION 5 A post office has a counter for customers' drive-through to get the services. The design of the drive-through lane allows for unlimited queue length. The arrival and service rate are Poisson distributed with A= 20 customers per hour arriving on average and u=25 customers per hour can be served on average. a) Compute the average number of arrivals. b) Compute the average time a customer waits. c) Compute the average number of arrivals in the system. d) Compute the average time a customer is in the system. e) Compute the probability that less than or equal to 3 customers are in the system. f) If the single counter for the customer drive-through has been replaced with the automatic operation, service rates are constant with A= 20 and u =25. Compute (a), (b), (c) and (d).arrow_forwardQuestion 4 Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone calls to the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Part A Answer the following questions: a. What is the probability that no customers are in the system (Po)? b. What is the average number of customers waiting for service ( Lq, c. What is the average number of customers…arrow_forwardQuestion 4 Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone callsto the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Part A Answer the following questions: a. What is the probability that no customers are in the system (Po)? b. What is the average number of customers waiting for service ( Lq)? c. What is the average number of customers…arrow_forward
- Question 4 Skyline pizza is a famous restaurant operating a number of outlets. The restaurant uses a toll-free telephone number to book pizzas at any of its outlets. If the clerk is occupied on one line, incoming phone callsto the restaurant are answered automatically by an answering machine and asked to wait. As soon as the clerk is free, the party that has waited the longest is transferred and answered first. Calls come in at a rate of about 15 per hour. The clerk is capable of taking an order in an average of 3minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. The clerk is paid $20 per hour, but because of lost goodwill and sales, CWD loses about $50 per hour of customer time spent waiting for the clerk to take an order. Part B Skyline is considering adding a second clerk to take calls. The store would pay that person the same $20 per hour. Using appropriate formula for the multiple channel model, answer the following questions: a. What…arrow_forwardQuestion related to gueing theory don't copy In a restaurant, two types of foods are available. Arival rate of customers is 26 per hour Poisson and average service time is 6 minutes exponential. The arriving customers can be served in three ways. The first way is to open two separate counters for the two types of foods. The second way is to pool the services, and offer both types of foods in both the counters. The third way is to open a large number (0) of self-service counters for the customers. Which way will lead to the maximum busy period of the system? wwmarrow_forwardQuestion 2 an estimate of the number of times a customer wanted a The Texas Gladiators won the Super Bowl last year. As a cap when it was not available but did not aşk for it.) result, sportswear such as hats, sweatshirts, sweat- pants, and jackets with the Gladiator's togo are popular. The Gladiators operate an apparel store outside the foot- ball stadium. It is near a busy highway, so the store has heavy customer traffic throughout the year, not just on game days. In addition, the stadium has high school or Week Demand Week Demand Week Demand 1 38 11 28 21 52 2 51 12 41 22 38 3 25 13 37 23 49 4 60 14 44 24 46 college football and soccer games almost every week in the fall, and baseball games in the spring and summer. The most poputar single item the stadium store sells is a red and silver baseball-style cap with the Gladiators' logo on it. The cap has an elastic headband inside it, which conforms to different head sizes. However, the store has 5 35 15 45 25 47 42 16 56 26 41 29 17 62…arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill EducationOperations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
- Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage LearningProduction and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.