Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of λ = 3 per​ 8-hour workday​ (approximately Poisson in​ nature). The crew can service an average of μ = 10machines per​ workday, with a repair time distribution that resembles the negative exponential distribution. a) The utilization rate of this service system? b) The average downtime for a broken machine? c) Average number of machines waiting to be serviced at any given time? d) The probability that more than 1 machine is in the system? The probability that more than 2 machine is in the system? The probability that more than 3 machine is in the system? The probability that more than 4 machine is in the system?

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: 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: A small COVID testing location has a single reception desk. The time between two arriving people…

A: Given data, Arrival rate,  = (1/3.5) × 60 = 17.14285714285 per hour Service rate,  = 27 per hour

Q: Suppose that you arrive at a service center having two counters which are both busy at the moment…

A: The service time at both counters is exponential with rates ,The aim is to find the expected amount…

Q: A call center has been serving 900 customers per day, with a 10% capacity cushion. There have been…

A: The concept used here is of Capacity planning.

Q: Students arrive at the Administrative Services Office at an average of one every 20 minutes, and…

A: Step 1:To solve this problem, we need to use the concepts of queuing theory and make some…

Q: Describe what is meant by the waiting-line terms balk and renege. Provide an example of each.

A: BALK and RENEGE:

Q: Drivers who come to get their licenses at the Department of Motor Vehicles have their photograph…

A:

Q: 9)The pharmacy has been busier than usual today and a large amount of $20 bills has been…

A: Turn-in here basically means the work that you are supposed to complete.

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

A: Given data:  In an M/M/1 queueing system Arrival rate ( λ) = 5 customer per hour Service rate (μ) =…

Q: Macca's Arcade provides an opportunity for patrons to step into a batting cage and hit against a…

A: Here is the solution to the above question step by step  A specific cell can be discovered to be…

Q: 2. There is a bank office with a single operator. The service time of each customer is exponentially…

A: Given data is Arrival rate(λ)=13Service time(μ)=110ρ=103

Q: Find the dual of each of the following LPs Maximize z = 5x₁ + 12x₂ + 4x3 s. t: x₁ + 2x2 + x3 ≤ 10…

A: Primal MAX Z = 5x1 + 12x2 + 4x3 Subject      x1 + 2x2 + x3 <= 10     2x1 - x2 + 3x3 = 8and…

Q: TQM stands for Select one: a. true quality management O b. total quality management c. total…

A: As per Bartleby guidelines, we can only solve one question at a time...Kindly upload the other…

Q: The average wait time in the line ?= __________(round your response to two decimal? places). ? b)…

A: Arrival rateA12.00Service rateS60/4.5= 13.33

Q: Sodocal wants to decide on the hiring of a customer service assistant; one has limited experience,…

A: Given-   Labor cost (New Mechanic)= $10 per hour Labor cost (Experience Mechanic)= $30 per hour…

Q: Give 3 interesting real-life empirical studies about queuing theory and provide some short…

A: Queuing theory is a field of study that involves mathematical modeling and analysis of waiting lines…

Q: A post office clerk operates with 75% utilization. The coefficient of variation for the service…

A: Given that,Ce = Coefficient for service process Ca = Coefficient for arrival process U = Server…

Q: In queuing system 1.- What is the average Queue lenght 2.- What is the expected waiting time ?

A: A queuing system cab be broadly described as a system that has a service facility at which various…

Q: What is the utilization? What is the expected number of customers in the system (L)? What is the…

A: Queuing theory is the study of waiting for lines/queues. This model helps to determine the length…

Q: The check-out area of a grocery store has the average customer interarrival time = 2 minutes, the…

A: Given, Interarrival time of customers = 2 minutes. In one minute period, 1÷2 = 0.5 customers arrive…

Q: A single cashier handles customers that arrive at a bakery. About 34.8 customers come into the…

A: Find the given details below:

Q: Virginia's Ron McPherson Electronics Corporation retains a service crew to repair machine breakdowns…

A: Find the given details below:

Q: Magic, Inc. has four units of equipment that are automatic but occasionally become inoperative…

A:

Q: In the ticket counter, customer arrivers in the queue according to Poisson process with 15/hour mean…

A: The subject of the discussion revolves around queueing theory, a branch of mathematics and…

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

A:

Q: tially, on are estimated to arrive at this experimental lane at the rate of 800 per hour. It will…

A: In the realm of toll collection, efficiency is paramount. This scenario delves into the experimental…

Q: April has a popular burger cart where an average of 12 customers per hour arrive to buy a burger.…

A: Service rate is the rate that is used to measure the rate of supply of a service in a company.

Q: Gursoy Car Wash will wash a car in exponential amount of time with mean 10 minutes. Arrivals occur…

A: Find the Calculation methods below: Percentage of the time the car was is idle (p0) = 1-λμHow many…

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: Eat Well is a tiny drive-through quick food restaurant in a shopping malltown, manned by an…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Calculate the mean waiting time (including the first and the last customers)

A: Given data is

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

A: Given data:  Customer Arrival rate λ= 5 customers per hour Customer Service rate μ = 7 customers per…

Q: Passengers arrive at the immigration counter at a rate of one every 4 minutes, and processing their…

A: Arrival time=4 minute Arrival rate=1/4 =0.25 person per minute. Service time=10 minute Service…

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.