At a border inspection station, vehicles arrive at the rate of 8 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can inspect vehicles at the rate of 15 per hour in an exponentially distributed fashion.   a. What is the average length of the waiting line? (Round your answer to 2 decimal places.)         b. What is the average time that a vehicle must wait to get through the system? (Round your answer to 2 decimal places.)         c. What is the utilization of the inspector? (Round your answer to 1 decimal place.)         d. What is the probability that when you arrive there will be three or more vehicles ahead of you? (Round your answer to 1 decimal place.)

Q: The expected total time in the system. b. The expected time each customer has to wait. c. The…

A: As per Bartleby guidelines, we can only solve the first three subparts of one question at a…

Q: a. What is the utilization? (Round your answer to 3 decimal places.) Utilzation b. What is the…

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

Q: Determine the average time customers spend at the machine, including waiting in line and completing…

A: Arrival rate = 1 customer every 2 minutesService rate = 1 customer takes 99 seconds

Q: a. Customers queue at the express aisle of a supermarket checkout at the rate of 16 per hour.…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: In a queueing system, customers arrive once every 4 minutes (standard deviation = 7) and services…

A: Queuing systems are basic mathematical models that are used to explain traffic bottlenecks. A…

Q: a. The average number of customers waiting. (Round your intermediate calculations to 3 decimal…

A: Benny's market survey data- customers arrive at a rate = 4.0 per hour Benny's average time of 11…

Q: Granos, Inc. purchased new automated coffee vending machines, the Preso 2000. This Preso 2000…

A: Arrival Rate = Service Rate =

Q: Consider a two-channel waiting line with Poisson arrivals and exponential service times. The…

A: The answer is as below

Q: CT Commercial Bank is the only bank in the town of Kuching, Sarawak. On a typical Friday, an average…

A:

Q: A vending machine at Muscat Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant…

A: Given data

Q: a. What is the average length of the waiting line? (Round your answer to 2 decimal places.)   b.…

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

Q: In waiting line management, system performance measures include which of the following: I. an…

A: In the waiting line management, system performance measures include- II. the average number of…

Q: Please Hwlp!!!!!!!

A:

Q: In an M/MA queueing system, the arrival rate is 4 customers per hour and the service rate is 6…

A: Note:  We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: 3c. Customers arrive at a Starbucks that has 1 barista and they wait in line on a first-come, first-…

A: Given, Arrival rate,λ =12 per hour Service rate, μ=60/3.5 =17.14 customers per hour Standard…

Q: A bank has an average of 10 customers per hour arriving into the system, and it takes an average of…

A: Given that:

Q: Why does queuing theory emphasise the steady-state condition too much?

A: Queue theory is the analysis of different aspects of mathematics of waits or waiting. It uses queue…

Q: In an M/MA queueing system, the arrival rate is 8 customers per hour and the service rate is 11…

A: Given data  Arrival rate of clients (λ) = 8 customer per hour  Service rate of clients (μ) = 11…

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: The manager of a branch office of Banco Mexicali observed that during peak hours an average of 15…

A: The assumptions in single-server queue theory include: The waiting line may contain any number of…

Q: Calculate average waiting time for ATM user at the BBT location 2. Calculate average length of…

A: NOTE: We are allowed to do the first three sub-parts only.  Given: Arrival rate (A) = 21 Service…

Q: The Swedish Bakery gets an average of 8 customers per hour. Tim Gonzales, the server, can serve a…

A: Given, in the swedish bakery, Arrival rate of customers, λ =8 per hour = 8÷60 =0.13 customers per…

Q: 1. What is an ERP system? Why is it critical for large enterprises?      . Can an ERP be…

A: An ERP system (Enterprise Resource Planning) is a software arrangement that coordinates and…

Q: Customers arrive at Rich​ Dunn's Styling Shop at a rate of 3 per hour, distributed in a Poisson…

A: Arrival Rate (λ) = 3 per hourService Rate (μ) = 8 per hour

Q: A mechanic at johnsons shop is able to install new mufflers at an average rate of 3 per…

A: Service rate is the rate at which the customers are being served in the organizational system by the…

Q: 13. Suppose AirOM passengers arrive to the check-in desk every 100 seconds (on average). The desk is…

A:

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

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

Q: Below are the data of the gasoline station. Number of gas pumps = 1 Policy of the gasoline station…

A: Given- Price of Gasoline if a customer will wait = Php 45 Price of Gasoline if a customer will not…

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

A: Two fundamental ideas in queuing theory, the study of waiting for lines or queues, are arrival rate…

Q: For the first three minutes of the day, the arrival rate at the book store is 23 customers per…

A: Given  Time interval (t) = 3 minutes  Arrival rate (λ)= 23 customers/minuteServing rate(μ)=21…

Q: A mechanic at johnsons shop is able to install new mufflers at an average rate of 3 per…

A: The detailed solution is given in Step 2.

Q: A drive-through at a Fast Food serves 424 customers over a 10-hour day. On average, a customer…

A: Waiting time is the period of time that a customer has to wait to receive or avail of any type of…

Q: Wk Qu. 12-14 Customers arrive at a carwash on... Customers arrive at a carwash on average once every…

A: The average customer arrival time = 60 minutesCustomer follow exponential distribution then =…

Q: on process, at a mean arrival rate of 30 per hour. They are serviced on a FCFS basis, and because of…

A: Mean arrival rate(λ)=0.5 per minutesThe service time(μ)=1.5 per minutes

Q: In an M/MA queueing system, the arrival rate is 5 customers per hour and the service rate is 9…

A: This question is related to the topic-service quality and this topic falls under the operations…

Q: Customers arrive randomly to an airport shoe-shine stand with only ONE attendant at a rate of 8 per…

A: The correct solution of the given statement is in Step 2.

Q: A toll tunnel has decided to experiment with the use of a debit card for the collection of tolls.…

A: Arrival rate = 750 per hourservice rate  =  In hour, = 900 per hour

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: A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn…

A: Given data is Arrival rate (lambda) = 2 per minute Service rate (mu) = 25 seconds = 6025=2.4 mins

Q: True or False?  In a waiting line system, the average system time Wₛ must be longer than the…

A: Below explanation states whether the given statement is true or false:

Q: Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The…

A: Given:Arrival rate (A)3Service rate (S)5number of servers (C)1

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: Vehicles on a highway arrive at a security checkpoint at a Poisson rate of 20 per hour. At the…

A: Service rate is the rate at which the customers are being served by the worker in an organization.

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.