OPERATIONS MANAGEMENT
OPERATIONS MANAGEMENT
2nd Edition
ISBN: 9781260238877
Author: CACHON
Publisher: RENT MCG
bartleby

Concept explainers

Question
Book Icon
Chapter 17, Problem 3PA

a)

Summary Introduction

To determine: The offered load.

a)

Expert Solution
Check Mark

Explanation of Solution

Given information: The following information are provided in the problem about company LARA,

Number of reporters = 5Time taken to complete the process = 3 hoursStandard deviation=2 hoursInterarrival time=30 mintuesStandard deviation of Interarrival time=30 mintues

Calculation of offered load:

. Offered load(r)=pa=3hours0.5hours=6

Offered load is the ratio of average processing time (p) to average interarrival time (a) that is 3 hours divided by 0.5 hours gives 6 as offered load.

b)

Summary Introduction

To determine: Implied Utilization.

b)

Expert Solution
Check Mark

Explanation of Solution

Given information: The following information are provided in the problem,

Number of reporters = 5Time taken to complete the process = 3 hoursStandard deviation=2 hoursInterarrival time=30 mintuesStandard deviation of Interarrival time=30 mintues

Calculation of implied utilization:

Implied utilization = pa×m=3hours0.5hours×5reporters=1.2

Implied utilization is the ratio of average processing time to the product of average interarrival time and number of servers. Therefore 3 hours divided by the product of 0.5 hours and 5 reporters gives the implied utilization of 1.2.

c)

Summary Introduction

To determine: The capacity to complete the assignments.

c)

Expert Solution
Check Mark

Explanation of Solution

Given information: The following information are provided in the problem,

Number of reporters = 5Time taken to complete the process = 3 hoursStandard deviation=2 hoursInterarrival time=30 mintuesStandard deviation of Interarrival time=30 mintues

Calculation of capacity:

Capacity = mp=5reporters3hours=1.67

Capacity to complete the assignment is the ratio of number of resources to the average processing time which is product of 5 reporters with 3 hours gives the capacity as 1.67.

d)

Summary Introduction

To determine: The probability that an incoming text message is not pursued.

d)

Expert Solution
Check Mark

Explanation of Solution

Given information: The following information are provided in the problem,

Number of reporters = 5Time taken to complete the process = 3 hoursStandard deviation=2 hoursInterarrival time=30 mintuesStandard deviation of Interarrival time=30 mintues

Calculation of probability that three pumps are being used by that an incoming text message is not pursued:

Probability that incoming text message cannot be pursued can be found from Erlang loss table, for r is 6 and number of server m is 5, the corresponding value is 0.3604. Therefore, probability that incoming text message cannot be pursued is 0.3604.

e)

Summary Introduction

To determine: Flow rate of completed assignments.

e)

Expert Solution
Check Mark

Explanation of Solution

Given information: The following information are provided in the problem,

Number of reporters = 5Time taken to complete the process = 3 hoursStandard deviation=2 hoursInterarrival time=30 mintuesStandard deviation of Interarrival time=30 mintues

Calculation of flow rate of completed assignments:

Flowrate=1a(1-Pm)=10.5hour(1-0.3604)=1.28

The Flow rate of completed assignments is 1.28.

f)

Summary Introduction

To determine: Utilization of LARA reporter.

f)

Expert Solution
Check Mark

Explanation of Solution

Given information: The following information are provided in the problem,

Number of reporters = 5Time taken to complete the process = 3 hoursStandard deviation=2 hoursInterarrival time=30 mintuesStandard deviation of Interarrival time=30 mintues

Calculation of utilization:

Utilization=flowratecapacity=1.281.67=0.77

Utilization is calculated by dividing flowrate with capacity which is the ratio of 1.28 to 1.67 which yields 0.77.

g)

Summary Introduction

To determine: The number of reporters needed for 85% of the text message to be attended.

g)

Expert Solution
Check Mark

Explanation of Solution

Given information: The following information are provided in the problem,

Number of reporters = 5Time taken to complete the process = 3 hoursStandard deviation=2 hoursInterarrival time=30 mintuesStandard deviation of Interarrival time=30 mintues

Calculation of number of reporters:

Probability Pm=10.97=0.15

For r = 6 & Pm as 0.15, the number of operators required is between 7 and 8.

Therefore, the number of reporters required for 85% of text messages to be attended is 8.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
You ordered 1,000 tons of cocoa beans, which will be delivered to your chocolate manufacturing plant in PA in March next year. The current price of cocoa beans, as of today, is $2,260 per ton. There is an investor company who currently offers two types of risk hedging contracts: -Forward contract: $2,400 per ton at a fixed cost of $30,000. -Futures contract: $2,400 per ton at a cost of $50 per ton (therefore, the up-front cost is 1000 tons * $50 per ton = $50,000) Assume that the price of cocoa beans went down to $2,200 per ton in March 2023. How much would you need to pay for 1,000 tons of cocoa beans under the futures contract?
What are the goals for maintaining focus, tracking progress, and staying motivated on wellness? How do they relate and impact the past and future routine workouts? What are the strengths and weaknesses, and how can we overcome the obstacles that could occur?
What do you think is more effective in the long run, bringing in more staff during peak times or investing in cross-training and process redesign to manage demand variability better? With a Reference
Knowledge Booster
Background pattern image
Operations Management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
  • Text book image
    Practical Management Science
    Operations Management
    ISBN:9781337406659
    Author:WINSTON, Wayne L.
    Publisher:Cengage,
    Text book image
    Marketing
    Marketing
    ISBN:9780357033791
    Author:Pride, William M
    Publisher:South Western Educational Publishing
Text book image
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Text book image
Marketing
Marketing
ISBN:9780357033791
Author:Pride, William M
Publisher:South Western Educational Publishing