An M/M/4 system has an arrival rate of 15 customers per hour. Each server has a service rate of 7 customers per hour. What is the utilization factor for this system? (Round your answer to 3 decimal place.) If all servers are kept busy, how many services will be completed per hour? (Round your answer to the nearest whole number.)

Q: The manager of a park hotel is considering how to restructure the front desk to reach an optimum…

A: Number of clerks = 5 Arrival time(lambda) per hour = 905=18  Service time(mu) per hour = 20…

Q: A large industrial pier has two cranes that load container ships. Trucks arrive in a single line and…

A: Given data  The arrival rate of the vehicle is Poisson distributed  Arrival rate (λ) = 20 trucks per…

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: please answer this for my review

A: Given that, Clients show up at a pace of one every moment. That is, 2 =1The server can deal with 0.4…

Q: If the average time between customer arrivals is 6.00 minutes, what is the hourly arrival rate?…

A: Average time between customer arriavals is 6.00 minutes

Q: An MI MI4 system has an arrival rate of 15 customers per hour. Each server has a service rate of 9…

A: Utilization factor helps in estamating the percentage of time it is used to the total time it can be…

Q: Students arrive randomly at the counter of the CIT Library. There is only one library assistant,…

A: Given data:  Average arrival rate λ= 12 students per hour Average service rate μ = 20 students per…

Q: Demand at the Krispy Kreme drive-through has jumped up with the new restrictions on inside dining.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Benny the Barber (see Question 1) is considering the addition of a second chair. Customers would be…

A: Arrival rate is the rate at which the customer arrive at a shop, restaurant or in an organisation to…

Q: A service counter employs two servers. On average a server requires 8 minutes to process a customer…

A: The correct answer is (b) 7.75 customers/hour

Q: Cycle Time and Throughput Rate.                                            b. Identify the…

A: Cycle time is the proportion between required demand and total available time. Throughput time…

Q: Workers arrive at a tool crib at a rate of 30 per hour. Clerks who are employed to hand out the…

A: This is a multiple server (M/M/s) queue model Arrival rate,  = 30 per hour Service rate,  = 9 per…

Q: 3. (for all students) Jobs arrive to a single server queue according to a Poisson process with a…

A: Given: Mean arrival rate=λ=2.5 jobs/hourMean service rate=μ=19.8 minVariance of service time= 123.8…

Q: What is the term used for the situation where a potential customer arrives at a service operation…

A: There are few instances when a potential customer reaches the service operation and if comes across…

Q: Doña Blanca plans to open a small car wash and must decide how much space to allocate to waiting…

A: The given question is based on finite queue variation of M/M/s model which is M/M/s/K where K…

Q: A remote bank with one teller on average has a customer arrive every 10 minutes, and on average…

A: Queueing theory deals with mathematical modeling of the queue in the system. It helps us to…

Q: Coffee Shop campus has one barista. Students arrive at the rate of 20 students per hour according a…

A:

Q: Benny the Barber owns a one-chair shop. At barber college, they told Benny that his customers would…

A: Given that - Arrival Time (λ) =2 customers per hour Service Time (μ) = 20 minutes, or 6020= 3…

Q: In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7…

A: Arrival rate of calls λ=5 customers per hourService rate μ=7 customers per hour

Q: A vending machine dispenses hot chocolate or coffee. Service time is 20 seconds per cup and is…

A: Arrival Time = 56 per hourService time = 20 seconds per cupArrival rate (λ) = 56/60 min = 0.9333 per…

Q: What is the utilization of the help desk?

A: Utilization, which is calculated as the average number of busy servers (here arrival students)…

Q: A warehouse has 2 docks for unloading. The arrival rate of trucks at the warehouse is 5 trucks per…

A: The utilization rate of the docks to understand how efficiently they are being used. Determine the…

Q: The Riverton Police Department has eight patrol cars thatare on constant call 24 hours per day. A…

A:

Q: From 3:00 P.M. to 8:00 P.M. the local Big-W Supermarket hasa steady arrival of customers. Customers…

A: Given data Average checkout time Average time in the system

Q: Students arrive randomly at the counter of the CIT Library. There is only one library assistant,…

A:

Q: Circle Electric Supply is considering opening a second service counter to better serve their…

A: Given- Average arrival rate (λ) = 11 per hourAverage service rate (μ) = 16 per hour

Q: Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).Each server can handle…

A: Given data:  Arrival rate λ = 12 customers per minute Service rate μ  = 4.001 customers per minute…

Q: LF Bank has 3 tellers serving customers through a shared line where the next customer in line goes…

A: Given, Arrival rate λ = 74 per hour Service rate μ = 30 per hour Number of tellers s = 3 P0 =…

Q: In an M/D/2 system, a. the service time is exponentially distributed, b. the service time is a…

A: M/D/2 is a queuing model that is used to analyze the performance of a system that has two servers…

Q: The Queue of service enterprise is designed for capacity 30 customers per hour and its effective…

A: The answer is option (a)

Q: What is the number of customers waiting in the queue on average?

A: Given, Arrival rate a = 24 / hour Service rate s = 2 min / customer = 60/2 = 30 / hour

Q: Two workers who are responsible for10 milling machines Machines run on the average for 20 minutes,…

A: Given data: Number of workers = 2 = n Number of machines = 10 = K Average machine run time  µ = 1/20…

Q: A new shopping mall is considering setting up an information desk manned by one employee. Based upon…

A: I will determine the total expected cost over an 8-hour day, the related answer is presented below,

Q: The VBO grocery store has a checkout counter with a full-time cashier. Customers arrive randomly…

A: The store has a checkout counter with a full-time cashier. This means this is a single-server model.…

Q: The Peachtree Airport in Atlanta serves light aircraft. It has a single runway and one air traffic…

A: From the given information, Arrival rate, λ =5 per hour Service rate, μ =7.5 per hour   a. Average…

Q: An MI MI3 system has an arrival rate of 11 customers per hour. Each server has a service rate of 8…

A: Given, λ = mean arrival rate = 11μ = mean service rate =8s = number of servers = 3

Q: During the evening hours, an average of 52 customers can be found in Sachi’s Sports Bar. About 40…

A: The Little’s Law provides a very simple and intuitive approach for the assessment of the efficiency…

Q: The Y-ME central railroad station has 5 screening stations. At peak times, 175 customers arrive per…

A: Given, Number of screening stations s = 5 Arrival rate λ= 175 / hour Time to service = 1.6 minutes…

Q: 5. The DMV Licensing office has a single line for customers waiting for the next available clerk.…

A:

Q: Savemore has 4 check-out counters. Prediction says that the duration of customer transaction is…

A: Number of servers M = 4 Service rate μ = 1Service time×60 = 14.9×60=12.2449 customers/hr per server…

Q: At a car washing service facility customers arrive at the rate of 8 cars per hour. The service can…

A: This is a single-server model, we can understand that and the arrival rate (λ) = 8 cars/hr and…

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…

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.