Answered: What is the system utilization? b)…

What is the system utilization? b) What is the average waiting time for customers who actually have to wait? c) What is the average time customers wait in line for service?

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 9P

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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

Please do not give solution in image formate thanku.

λ= 4 customers per hour; μ = 5 customers per hour; M= 1

An average of 20 customers arrive at a service center each hour. There are two servers on duty, and each can process 12 customers per hour.

a) What is the system utilization?

b) What is the average waiting time for customers who actually have to

wait?

c) What is the average time customers wait in line for service?

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Step 2: a. Calculate the system utilization.

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Step 3: b. Calculate the average waiting time for customers who actually have to wait

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Step 4: c. Calculate the average time customers wait in line for service.

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