
Concept explainers
a)
Interpretation: Average length of the line.
Concept introduction:The M/M/1 queue assumes poison arrivals, exponential service times, and a single server serving customers in a FCFS fashion. Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.
a)

Answer to Problem 34P
Average length of the line is 2.33
Explanation of Solution
Given information:
Explanation:
B)
Interpretation:customer wait to buy tickets.
Concept introduction:The M/M/1 queue assumes poison arrivals, exponential service times, and a single server serving customers in a FCFS fashion. Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.
B)

Answer to Problem 34P
Customer wait to buy tickets is 7 minutes.
Explanation of Solution
Given information:
Average waiting time in queue = 10 min -service time
Explanation:
C)
Interpretation:time to buy tickets.
Concept introduction:The M/M/1 queue assumes poison arrivals, exponential service times, and a single server serving customers in a FCFS fashion. Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.
C)

Answer to Problem 34P
10 minutes to buy tickets.
Explanation of Solution
Given information:
Explanation:
average waiting time to buy tickets
D)
Interpretation: probability of arriving customers wait
Concept introduction:The M/M/1 queue assumes poison arrivals, exponential service times, and a single server serving customers in a FCFS fashion. Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.
D)

Answer to Problem 34P
0.7 probability of arriving customers wait
Explanation of Solution
Given information:Probability that there are zero customers in the system
Explanation:
Probability that there are zero customers in the system
E)
Interpretation: probability of having four customers.
Concept introduction:The M/M/1 queue assumes poison arrivals, exponential service times, and a single server serving customers in a FCFS fashion. Poisson arrivals are a reasonably good assumption for unscheduled systems. Further if there is a mix of many different types of jobs the exponential distribution can be realistic for service times. Otherwise it tends to be too variable of a distribution.
E)

Answer to Problem 34P
probability of having four customers is 0.07203
Explanation of Solution
Given information:
P = 4 customers
Explanation:
Want to see more full solutions like this?
Chapter 5 Solutions
Practical Operations Management
- Hyundai Motors is considering three sites-A, B, and C-at which to locate a factory to build its new electric car batteries. The goal is to locate at a minimum-cost site, where cost is measured by the annual fixed plus variable costs of production. Hyundai Motors has gathered the following data: Site Annualized Fixed Cost Variable Cost per Battery Produced A $11,000,000 $2,600 B C $2,000 $1,100 $20,000,000 $25,000,000 The firm knows it will produce between 0 and 60,000 batteries at the new plant each year, but, thus far, that is the extent of its knowledge about production plans. a) The value of volume, V, of production above which site C is recommended = batteries (round your response up to the next whole number).arrow_forwardHyundai Motors is considering three sites-A, B, and C-at which to locate a factory to build its new electric car batteries. The goal is to locate at a minimum-cost site, where cost is measured by the annual fixed plus variable costs of production. Hyundai Motors has gathered the following data: Site Annualized Fixed Cost Variable Cost per Battery Produced A $11,000,000 $2,500 B C $2,100 $1,050 $20,000,000 $25,000,000 The firm knows it will produce between 0 and 60,000 batteries at the new plant each year, but, thus far, that is the extent of its knowledge about production plans. a) The value of volume, V, of production above which site C is recommended = batteries (round your response up to the next whole number).arrow_forwardThe importance of keeping track of invoices and budgeting in a nursing home kitchen and how can a nutritionist utilize this in their career? Please not just a short explanation.arrow_forward
- The importance of interviewing potential food service aides and how can a nutritionist utilize this in their career? Please not just a short explanation.arrow_forwardWhat role does job analysis and job evaluation play in the compensation decision? Give an example of an organization NO AIarrow_forwardI did the first half correct! Please help me with the second half, not quite sure of the naive approach. Thanks in advance!arrow_forward
- Because my tutor and I didnt get it rightarrow_forwardOperations Managementarrow_forwardHow does wellness reflect and impact the past and the future of our health as a workout routine? What are the obstacles during the workout routine, and how do you overcome the obstacles? What are the best solutions to plan and accomplish the wellness?arrow_forward
- My last question! Thank you all for helping me better understand how OM works. If you can assist me for this one I'd be very thankful. Can you explain it step by step?I know now that LS is late start, and ES is early start. - •Activities on the critical path are? •The total project completion time for Rafay Ishfaq's software firm is how many weeks?•Determine the slack time for each of the activities for A-F •What is the total slack for the non critical paths in Rafays project?arrow_forwardThank you so much! I was able to answer C without help! Can you assist me with slack time for A-F? I believe A=0arrow_forwardThere's 8 parts, but I need some help with them. I always get confused on which is most critical of a patharrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,MarketingMarketingISBN:9780357033791Author:Pride, William MPublisher:South Western Educational Publishing
