SCM $300$

$$

EXERCISE #$3$

QUEUING MODELS

STEP $3$

$$

Questions using New Givens

$(1$ point

each$)$

Let$$s hope you developed your

excel

spreadsheet. If you did, this section will take

about $2$ minutes. If you refused to use your spreadsheet, this could take a while.

The numbers for the $2$ and $3$ server models are not tied to formulas in the file you

were

given, but the numbers in the single server model are tied to the formulas you

have input. It should now be easy for you to input new arrival and service rates

and then find the new outputs for the single server model.

$2$

$1$

$.$ Plug in these numbers into

your spreadsheet:

Arrival rate: $0\mathrm{.}065$ calls per minute

Service rate: $0\mathrm{.}085$ calls per minute

In a single

$-$

server model what is the time in line $($Minutes$)?$

$22.$ Plug in these numbers into your spreadsheet:

Arrival rate: $4\mathrm{.}5$ calls per minute

Service rate:

$6\mathrm{.}7$ calls per minute

In a single

$-$

server model what is the time in line $($Minutes$)?$

$2$

$3$

$.$ Plug in these numbers into your spreadsheet:

Arrival rate: $0\mathrm{.}083$ calls per minute

Service rate: $0.$

$206$

calls per minute

In a single

$-$

server model what $\%$ of time is the

server busy?

$2$

$4$

$.$ Plug in these numbers into your spreadsheet:

Arrival rate: $2\mathrm{.}4$ calls per minute

Service rate: $2\mathrm{.}5$ caSCM $300$

$$

EXERCISE #$3$

QUEUING MODELS

STEP $3$

$$

Questions using New Givens

$(1$ point

each$)$

Let$$s hope you developed your

excel

spreadsheet. If you did, this section will take

about $2$ minutes. If you refused to use your spreadsheet, this could take a while.

The numbers for the $2$ and $3$ server models are not tied to formulas in the file you

were

given, but the numbers in the single server model are tied to the formulas you

have input. It should now be easy for you to input new arrival and service rates

and then find the new outputs for the single server model.

$2$

$1$

$.$ Plug in these numbers into

your spreadsheet:

Arrival rate: $0\mathrm{.}065$ calls per minute

Service rate: $0\mathrm{.}085$ calls per minute

In a single

$-$

server model what is the time in line $($Minutes$)?$

$22.$ Plug in these numbers into your spreadsheet:

Arrival rate: $4\mathrm{.}5$ calls per minute

Service rate:

$6\mathrm{.}7$ calls per minute

In a single

$-$

server model what is the time in line $($Minutes$)?$

$2$

$3$

$.$ Plug in these numbers into your spreadsheet:

Arrival rate: $0\mathrm{.}083$ calls per minute

Service rate: $0.$

$206$

calls per minute

In a single

$-$

server model what $\%$ of time is the

server busy?

$2$

$4$

$.$ Plug in these numbers into your spreadsheet:

Arrival rate: $2\mathrm{.}4$ calls per minute

Service rate: $2\mathrm{.}5$ ca