For an M/G/1 System With $\lambda$ = 20 And $\mu$ = 35, With

question 18

Essay

For an M/G/1 system with $\lambda$ = 20 and $\mu$ = 35, with $\sigma$ = .005, find
a.the probability the system is idle.
b.the average length of the queue.
c.the average number in the system.

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Definitions:

Output

The total amount of goods or services produced by an individual, company, or economy.

Different Prices

A situation where a seller charges varying prices for the same product or service, often based on factors such as customer location, purchase volume, or demand elasticity.

Monopolistically Competitive

Refers to a market structure where many companies sell products that are similar but not identical, allowing for some degree of market power and product differentiation.

Minimizes Average Costs

Refers to the strategy or condition in which a firm operates at the lowest possible cost per unit, optimizing efficiency.