Question: In a coffee shop, the customer arrival process is Poisson distributed with a rate of 3 customers/minute and the service time by each server is

In a coffee shop, the customer arrival process is

In a coffee shop, the customer arrival process is Poisson distributed with a rate of 3 customers/minute and the service time by each server is exponentially distributed with a mean of 20 seconds. There are two servers in the shop serving the customers. Consider this as M/M/2 system. (a) What are (i) the offered load (A) to the system and (b) the utilization (p) of the system? (b) What percentage of the customers do not get immediate service (i.e., the customer has to wait in the queue before being served)? (c) Calculate the average waiting+service time for customers? (d) Realizing that the two-server system incurs longer delay for customers, the manager wants to reduce the blocking probability to 2%. Determine how many servers should be added to meet this requirement

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

Continuing Payroll Project: Prevosti Farms and Sugarhouse - EERF (Static) Prevosti Farms and Sugarhouse pays its employees according to their job classification. The following employees make up...

During lunchtime the office cafeteria serves customers with prepared sandwiches and coffee. Customers arrive at an average rate of 38 customers per hour, and the arrival process is Poisson...

Hello the following 18 questions are just a quick practice assignment due in my class and could You answer the following questins correctly? Thank you, 1. Consider the following set of constraints...

Suppose that 2000 students enter (and later leave) a classroom building over the 20 hours in which it is open. On average, there are 150 students in the building. Assuming the building is operating...

Solve using Excel Solver 1. The reference desk at a library receives requests for assistance. Assume that a Poisson probability distribution with a mean rate of 10 requests per hour can be used to...

Suppose a coffee shop order and fulfillment process is configured simply as a single queue. Customers enter, wait their turn, and then place and receive their order all at once. Suppose that an...

Consider a custom-order processing system consisting of two steps: In Step 1, we first assemble the product; then, in Step 2, we test and tune the product, before it is shipped to the customer. There...

The student recreation center of a state university has only one coffee shop. Students arrive at the coffee shop at an average rate of 35 per hour according to a Poisson distribution. The only...

Consider your typical sandwich shop ( an example would be Subway ) . We are interested in modeling the operations of such a shop. Customers typically arrive to this system following a particular...

Consider a car wash that can serve up to two cars. Customers arrive according to a Poisson process of rate perhour. The service time for one car is exponentially distributed with mean 1/1; however,...

1. Briefly discuss the following: c) Intangible Assets and 3 Basic Approaches to Valuing Inventory d) Return on Assets (RoA), Return on Capital (RoC), Return on Equity (RoE) e) Current Ratio and...

write the method to swap stack and queue Write the Java method that takes the contents of stack and places it in queue and the contents of queue into stack. Your code can only use the stack data...

E4.6 (LO 1, 2) (Corrections of a Statement of Financial Position) The bookkeeper for Liba Ltd. has prepared the following statement of financial position as of July 31, 2025 (amounts in thousands)....

atch the compensation objectives with their meanings. Efficiency Efficiency drop zone empty. Fairness Fairness drop zone empty. Compliance Compliance drop zone empty. Improving performance and...