Find the number of machines operating or ready to operate

Assignment Help Basic Statistics

Reference no: EM131812218

Question: In a factory, there are m operating machines and s machines used as spares and ready to operate. The factory has k repairpersons, and each repairperson repairs one machine at a time. Suppose that,

(i) each machine works, independent of other machines, for a time period which is exponentially distributed with mean 1/µ, then it breaks down;

(ii) the time that it takes to repair an out-of-order machine is exponential with mean 1/λ, independent of repair times for other machines;

(iii) at times when all repairpersons are busy repairing machines, the newly broken down machines will wait for repair; and

(iv) when a machine breaks down, one of the spares will be used unless there is no spare machine available. Let X(t ) be the number of machines operating or ready to operate at time t . Show that { X(t ) : t ≥ 0 % is a birth and death process and ?nd the birth and death rates.

Reference no: EM131812218

Questions Cloud

What is the ratio measuring : What is the ratio measuring? Is a higher ratio good or bad? Is there a level that would indicate the company is healthy in the measured area?

Identify the behavior you wish to change : Identify the behavior you wish to change and Establish some Baseline data about your behavior - What is the history of this behavior? When it is worse? Better

Discuss what would be the total monetary return : What would be the total monetary return including both interest and capital gains from holding this bond

What were the deposits in transit at july : In September, deposits per bank statement totaled $25,900, deposits per books were $26,400, In situation 1, what were the deposits in transit at July 31

Find the number of machines operating or ready to operate : In a factory, there are m operating machines and s machines used as spares and ready to operate. The factory has k repairpersons, and each repairperson repairs.

Think about the core competencies : Reflect: Think about the core competencies as previously mentioned and ponder your time taking general education courses.

Prepare the adjusting entries for the month of may : Prepare the adjusting entries for the month of May, the equipment has a 5-year life with no salvage value

Describe why sickle-cell anemia is not a racial trait : Describe how this is an example of mutation and natural selection in humans. Describe why sickle-cell anemia is not a 'racial' trait.

Discuss the common issues and lessons present : Describe how you might use the lessons as a solutions template during future change strategies.

User Account

All Pages