ssignment questions

$1.$ Calculate the average service time and coefficient of variation of service times for the women$$s

restrooms. Explain why such calculations are needed.

$2.$ Explain the following:

a$.$ Which queueing systems are best suited for the modeling of the arrival patterns and service times

of gender$-$segregated restrooms? Are they different? If yes, explain the differences.

b$.$ Once you have ascertained the suited queueing model for each customer class, calculate the average

wait time of the men$$s and women$$s restrooms under the status quo. Clearly state your observations

and assumptions.

c$.$ Does the status quo restroom setup provide equitable access to restrooms to individuals who

identify as men and women? Discuss the issues associated with the status quo restroom setup

design.

$5$

$3.$ Convert one of the men$$s urinal stalls into a Unisex toilet. Explain which queueing models you must

use to model the arrival patterns to and service times of the men$$s$,$ women$$s$,$ and unisex restrooms.

Discuss operational and societal benefits$/$challenges associated with such an initiative.

$4.$ Suppose you have the possibility of converting two men$$s urinal stalls into either two unisex toilets,

two women toilets, or one unisex and one women toilet. Which design would you choose and why?

Convert all existing restrooms $($men and women$)$ into unisex toilets. Discuss operational and societal

necessity$/$benefits$/$challenges associated with such an initiative. Enumerate all the positive and

negative aspects of such a service design system.

$5.$ While addressing each of the above questions, do the following:

$$ show the steps required to adjust the parameters of different queueing models in view of

your restroom design proposals, and

$$ calculate the wait time of each customer$$s type at $0\mathrm{.}95$ and $0\mathrm{.}99$ percentiles.