Estimate expected average waiting time in queue for customer

Assignment Help Management Theories

Reference no: EM131463882

Question: A service facility consists of two servers in series (tandem), each with its own FIFO queue (see Figure 8.63). A customer completing service at server 1 proceeds to server 2, and a customer completing service at server 2 leaves the facility. Assume that the interarrival times of customers to server 1 are exponentially distributed with mean of 1 min. Service times of customers at server 1 are exponentially distributed with a mean of 0.7 min, and at server 2 they are exponentially distributed with a mean of 0.9 min:

a. Run the simulation for 1000 min and estimate for each server the expected average waiting time in the queue for a customer and the expected utilization.

b. Suppose that there is a travel time from the exit of server 1 to the arrival to queue 2 (or server 2). Assume that this travel time is distributed uniformly between 0 and 2 min. Modify the simulation model and run it again to obtain the same performance measures as in part (a). (Hint: You can add an Activity block to simulate this travel time. A uniform distribution can be used to simulate the time.)

c. Suppose that no queuing is allowed for server 2.

That is, if a customer completing service at server 1 sees that server 2 is idle, the customer proceeds directly to server 2, as before. However, a customer completing service at server 1 when server 2 is busy with another customer must stay at server 1 until server 2 gets done; this is called blocking. When a customer is blocked from entering server 2, the customer receives no additional service from server 1 but prevents server 1 from taking the first customer, if any, from queue 1. Furthermore, new customers may arrive to queue 1 during a period of blocking. Modify the simulation model and rerun it to obtain the same performance measures as in part (a).

1033_8.63.png

Reference no: EM131463882

Questions Cloud

Provide justification and citations for your points : Provide justification and citations for your points. Use the provided news report template for your post: INF220 Week 1 Hot Topics Enterprise Systems News Repor

Create area chart in excel with data having all continents : Excel Data Analysis and Interactive Exercise- Create an Area Chart in Excel with this data having all continents as data series, and the Years as X-Axis.

Find the expected utilization of the server : For the single-server queuing system in exercise 1b, suppose the queue has room for only three customers and that a customer arriving to find that the queue.

What are ideas according to hume : Read Section II of David Hume's An Enquiry Concerning Human Understanding. Explain and evaluate Hume's definition of "ideas."

Estimate expected average waiting time in queue for customer : A service facility consists of two servers in series (tandem), each with its own FIFO queue (see Figure 8.63). A customer completing service at server.

What impact does verbal and nonverbal communication have : What impact does verbal and nonverbal communication have on the process of psychological assessment

How have the techniques they use to communicate helped : What specifically do they do to project their professional presence? How have the techniques they use to communicate helped them accomplish their goals?

How modern imaging method helped solve problems : How do you think modern imaging methods have helped us understand the brain and solve problems in psychology

Simulate operation of the current and proposed system : A bank with five tellers opens its doors at 9 AM and closes its doors at 5 PM, but it operates until all customers in the bank by 5 PM have been served.

User Account

All Pages