Answered: Mean Arrival Rate: 20 customers/hour…

Mean Arrival Rate: 20 customers/hour Mean Service Rate: 12 customers/hour Number of Servers: 2 Server wage $20/hour If the server works an 8 hour day, what is the cost of service per day?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 26P

See similar textbooks

Related questions

Q: Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the…

Q: Explain The Queuing System with an example?

A: Queuing method is used by organization to improve their services by using the available resources in…

Q: Auto Shoppe is considering the purchase of a new engine computer code reader for $30,000. Auto…

A: Fixed cost of new engine = $30,000 The variable cost for service of reading the code from a…

Q: A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and…

A: Arrival rate (λ) = 6 Service rate(μ) = 2 every 15 minutes μ = 60*215 = 8

Q: The management of a busy petrol station is concerned that customers are being lost because of long…

A: Arrival Rate and Service time distribution is given below: Inter-arrival timeProb.Cum.Prob.Random…

Q: Consider an M/M/2 system with an arrival rate of 9 per minute and a service rate of 8 per minute.…

A: Queuing theory is the mathematical formulation of the queuing system its waiting time, service rate,…

Q: C. 480

A: ARRIVAL TIME IS 15 SECONDS IN 2 HOURS so hour will be multiplied by minutes and in seconds please…

Q: Suggest TW0 (2) methods that an operations manager can adapt to enhance their customers' waiting…

A: Two methods that an operation manager can adapt to enhance their customers' waiting experience are…

Q: Customers in LineWestern National Bank is considering opening a drive-thru window for customer…

A: As per our guideline we are supposed to provide only one answer at a time. Please provide one…

Q: A supermarket is trying to decide how many cash registers to keep open. Suppose an average of 18…

A: A normal of 18 clients show up every hour at the general store and the normal look at time for a…

Q: A multiple channel queuing system with a Poisson arrival rate, and an exponential service time…

A: In this queuing system, there are multiple servers, The arrival rate is 2.5 customers per hour The…

Q: What is the system utilization? b) What is the average waiting time for customers who actually have…

A: This is assumed that there are two cases given for which each of the parts a, b, and c is to be…

Q: Please do not give solution in image formate thanku During the early morning hours, customers…

A: Customer arrival time refers to the time that is taken by customers to arrive at a location. In the…

Q: Determining the Number of ServersIn the service department of the Glenn-Mark Auto Agency, mechanics…

A: Formula:

Q: Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1 customers per hour, and…

A: Find the given details below:

Q: 1.) M/M/2 Mean Arrival Rate: 20 customers/hour Mean Service Rate: 12 customers/hour Number…

A: Average utilization=p=λμ=2012 =1.67 Average number of customers in the system:L=λμ-λ 2020-12 =2.5

Q: Problem 15-31 (Algorithmic) Mid-West Publishing Company publishes college textbooks. The company…

A: Given: Arrival rate (λ) = 16 calls per hour Service rate per representative (μ) = 10 calls per hour…

Q: If the average time between customer arrivals is eight minutes, what is the hourly arrival rate?

A: Given that If the average time between customer arrivals = 8 minutes, I will determine the hourly…

Q: . Customers visit an astrologer at a rate of 4/hour (Poisson) and take and average of 12 minutes…

A: Small Introduction about Probability Defining probability is useful for determining the likelihood…

Q: When does the Queuing system achieve a condition of steady-state?

A: A queuing system is one in which many people or consumers cling to or rely on a single person to…

Q: What is suitable model for factory in queuing theory?

A: Queuing theory a study of the mathematical concept of waiting for lines or Queues. Queuing theory is…

Q: Mid-West Publishing Company publishes college textbooks. The company operates an 800 telephone…

A: The question is related to the Probability. The details are given regarding the same.

Q: Pls solve this question correctly in 10 min i will give u thumsup 1. Which of the following…

A: An M/D/c queue represents the queue length in a system having c servers, where arrivals are…

Q: Single server system has customer arrival rate of 60 customers per minute and a service rate of 75…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 5. A small town with one hospital has two ambulances to supply ambulance service. Requests for…

A: Ambulances are resources or servers servicing the request that are coming in(customers) Two…

Q: Suggest THREE (3) methods that an operations manager can adapt to enhance their customers' waiting…

A: Waiting time is simply the idle time for customers where they have to wait for the service provider…

Q: A computing facility has a large computer server dedicated to service on-line applications from…

A: 1. 0.33 2. Grade F

Q: Eat well is a small drive through fast food restaurant, staffed by an efficient employee John, is…

A: The concept of queuing theory is used here with M/M/1 queuing model.

Q: With a 10% availability buffer, a contact centre has been handling 900 consumers per day. Customers…

A: A service package is a group of one or more service rules that are designed to be developed, tested,…

Q: During the early morning hours, customers arrive at a branch post office at an average rate of 45…

A: Find the Given details below: Given details: Arrival rate 45 customer/hour Service rate 4…

Q: Describe the service package for (a) a bank, (b) an airline,and (c) a lawn service.

A: Service package for bank: Safety of money of the customers Offering interest on money deposited…

Concept explainers

Inventory Management

The supply chain is crucial to a firm's operations as it manages the inflow and outflow of products that are manufactured from the initial stage to the end product. It also considers the raw materials needed at different stages of production and when the work is in progress. Inventory management functions consist of ordering, storing, and procuring the organization's inventory like raw materials, factors, and finished products. It's also used for controlling the number of products for trade and helps manage the organization's inventory and stock. Inventory Management has been defined as having the right inventory, of the right volume, at the right cost.

Question

1.)

M/M/2
Mean Arrival Rate:	20 customers/hour
Mean Service Rate:	12 customers/hour
Number of Servers:	2
Server wage	$20/hour

If the server works an 8 hour day, what is the cost of service per day?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, management and related others by exploring similar questions and additional content below.

Similar questions

1.) M/M/2 Mean Arrival Rate: 20 customers/hour Mean Service Rate: 12 customers/hour Number of Servers: 2 On average, how many customers are in the line?
no handwritten solution Question The management of a busy petrol station is concerned that customers are being lost because of long waiting times sometimes required at their petrol pump. Over a two weeks period a careful study has been taken of the arrival of cars and the length of time taken to serve customers at the petrol station. The tables below show the arrival rates and the service time distribution: Inter arrival time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <2 1 60 60 00 - 59 2 - <4 3 25 85 60 - 84 4 - <6 5 10 95 85 - 94 6 - <8 7 5 100 95 - 99 Service time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <4 2 20 20 00 – 19 4 - <6 5 30 50 20 – 49 6 - <8 7 20 70 50 - 69 8 - <10 9 15 85 70 – 84…
5
Please do not give solution in image format thanku 1. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 13 customers per hour and an average service rate of 20 customers per hour. The average length of time customers will spend in the system is: Select one: a. 0.09286 minutes b. 0.1429 minutes c. 8.571 minutes d. 5.571 minutes 2. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 10 customers per hour and an average service rate of 13 customers per hour. The probability of 3 customers in the system is : Select one: a.0.895 b.0.5448 c.0.2308 d.0.105
Pls solve it quickly
Q2. Customers visit an astrologer at a rate of 4/hour (Poisson) and take and average of 12 minutes (Exponential). Compute the probability that: a) There are three or less people in the system b) There are 5 or more people in the system c) The astrologer is free
Pls solve this question correctly in 10 min i will give u thumsup 1. Which of the following statements are true about for the M/D/3 queuing system? Arrival rate is Poison distributed. I- Service time is Exponentially distributed. Ill- Inter-arrival is Exponentially distributed. 1v- There are 3 servers, 2. 5. What is the optimal solution for max Z=×+2y, st., x+ y less than or equal tpo 40, 2x + 4y less thsn or equal to 60, x, y greater than or equal to 0? A) Unique optimal solution, Z° = 30 B) Alternate optimal solutions, z = 30 C) Unique optimal solution, Z*= 40 D) infeasible solution
Single server system has customer arrival rate of 60 customers per minute and a service rate of 75 customers per minute. Customer arrival pattern is finite and they won't leave till they are served. The Arrival and Service patterns, both are exponential distribution. Based on the above information calculate a. Server utilization% b. Average numbers of customers in line C. Average time per customer in Line d. Average numbers of customers in system e. Average time per customer in System
Plzz explain
Auto Shoppe is considering the purchase of a new engine computer code reader for $30,000. Auto Shoppe can charge $50 for the service of reading the codes from a single car engine, while the actual cost of the reading would only be $10 per car engine. How many cars would need their engine computer codes read by Auto Shoppe for it to break-even on this purchase? O a. 1000 cars Ob. 210 cars Oc. 160 cars d. 750 cars Oe. 1210 cars
Q5
#9