Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

what is the single step transition matrix P and all states? A work center has three machines (MA, MB, and MC) and tries to run

what is the single step transition matrix P and all states?
image text in transcribed
A work center has three machines (MA, MB, and MC) and tries to run (if possible) two of them in parallel at the same time. The management prefers to run MA and MC since the mean daily earmings they get from them, EA and EC, respectively and independently of another machine, on a day these machines start working in the morning are higher than the mean earning EB they would get independently from MB. Thus, MB (if it is not under repair and MA and MC are both working) stays in the standby mode. (To make the earnings more concrete, consider the following: if MA/MB/MC is working this morning, the management assumes to get EA/EB/EC today. Thus, if only MB is working this morning, they would make EB; if MA and MB are working, they would make EA+ EB today and so forth.) A machine that is functional this morning can fail with a certain probability (MA with probability PA; MB with probability PB; and MC with probability PC) during the day and its repair starts tomorrow morning. A machine that is under repair this morning can be fixed with a certain probability today (MA with probability RA; MB with probability RB; and MC with probability RC) and if it is either MA or MC, it starts working tomorrow morning. If MB is repaired today, in order to start using it tomorrow morning, at least one of the other two machines must be under repair tomorrow morning. Equivalently, we can say that if all three machines can work tomorrow morning, obviously MB is put in the standby mode and production standby mode this morning and atrow morning. If MA and MC are functional and MB is in tomorrow morning. The failure and repair of a MA and MC fails today, MB starts working machines. A machine when it is under repair a machine is independent of the status of the other Deliverables

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

The Ethics of Management

Authors: La Rue Hosmer

7th edition

73530543, 73530549, 77470206, 978-0073530543

More Books

Students also viewed these General Management questions