91Ó°ÊÓ

A graphics reproduction firm has four automatic equipment units but occasionally becomes inoperative because of the need for supplies, maintenance, or repair. Each Unit requires service roughly twice each hour, or, more precisely, each Unit of equipment runs an average of 30 minutes before needing service. Service times vary widely, ranging from a simple service (such as pressing a restart switch or repositioning paper) to more detailed equipment disassembly. The average service time, however, is minutes. Equipment downtime results in a loss of \(20 per hour. The one equipment attendant is Paid \)6 per hour.

Using finite queuing analysis, answer the following questions:

B. What is the average number of units still in operation?

Step by step solution

01

Operation

Operation the complementary of standard benefit time is called cruel benefit rate and is represented as the number of clients served amid a settled time. In traditional terms, the benefit rate can be characterized as the capacity of the server or machine in the number of units per time.

02

Calculating the average number of Units in operation using the formula

The average numberof Units in operation = Number of unit-down Unit

But down Unit = L+H

The formula becomes;

The average number of units in operation = Number of units-(L+H)

= 4 - (0.256+0.535)

= 4-0.791

= 3.209

The average number of Units in operation = 3.209

Unlock Step-by-Step Solutions & Ace Your Exams!

• Full Textbook Solutions

  Get detailed explanations and key concepts

• Unlimited Al creation

  Al flashcards, explanations, exams and more...

• Ads-free access

  To over 500 millions flashcards

• Money-back guarantee

  We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!