Assume that for a gas and car wash station one car can be serviced at a time.  The arrivals follow a Poisson probability distribution, with an arrival rate of 1 car every 12 minutes and the service times follow an exponential probability distribution, with a service rate of 10 cars per hour.   What is the probability that the station will be idle?  What is the average number of cars that will be waiting for service?  What is the average time a car will be waiting for service? What is the average time a car will be at the gas wash station?

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A: Given- Arrival rate λ = 1260 min= 0.2 per minute Service rate μ = 13= 0.33 per minute

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A: Given:  λ = 13×60= 20/hourμ = 12×60=30/hour c = number of servers = 2 Multiple server queues model…

Q: Assume that for a gas and car wash station one car can be serviced at a time.  The arrivals follow a…

A:

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A: Note: - As we can answer only up to three subparts we will answer the first three subparts (a, b,…

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A:

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

A: The answer is as below

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A: Probability that the system is full=Arrival rate/service rate

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A: The given model is M/M/1/GD/3 - Mean arrival rate (λ)=3 customers/hr Mean service rate (μ)=2…

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A:

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Q: 3. Five administrative assistants use an office copier. The average time between arrivals for each…

A:

Q: Assume that for a gas and car wash station one car can be serviced at a time.  The arrivals follow a…

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A:

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A: Given data:   The Arrival rate λ = 20 customers per hour.   The service rateμ=25 customers per hour.…

Q: Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank…

A: Given λ=0.4 and μ=0.6

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A: Given Information: The arrival rate of vehicles (λ) = 4 vehicles per day  The service rate of…

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Q: Students arrive randomly at the help desk of the computer lab. There is only one service agent, and…

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Q: Hire a second person to bag the groceries while the cash register operator is entering the cost data…

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A: The detailed solution to the given question is in Step 2.

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A:

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A:

Q: (M/M/s/K Model). Leia is responsible for 13 data units in the IT offices in a small business called…

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Q: 11. Automobiles arrive at a tollbooth on a highway completely at random according to a Poisson…

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

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.