Linear Programming

Scheduling Problem

NCSU

BUS $340$

Employee Scheduling

$$ A destination theme park such as Disney$$s Magic

Kingdom or Universal Studio$$s Islands of

Adventure is unique:

$$ The product sold is an experience good

$$ The quality of the experience determines a part of the

total value of a destination vacation $($average value of

an international trip to Disney Orlando is ~$$20,000$

US$)$

Housekeeping

$$ Staffing needs are dependent on park

attendance levels

$$ Attendance varies daily, however, such

variability is consistent week to week

excluding major holidays

$$ Having a sufficient number of housekeepers is

critical to happy guests $($cleaning$,$ directions,

lost parents, etc.$)$

Park Operations

$$ The seasonal housekeeping staff works $2$ shifts $7$ days a

week $(14$ shifts$).$ The base wage is given below along with

demand by weekday.

$$ Different shifts earn different hourly rates depending on an

adjustment for the employees$$ days off.

Days Off

$($Summer$)$

Weekly

Wage $

M$,$ Tu $560$

Tu$,$ W $560$

W$,$ Th $560$

Th$,$ F $520$

F$,$ Sa $520$

Sa$,$ Su $480$

Su$,$ M $520$

Day Staffing Level Required Per

Shift

M $55$

Tu $60$

W $60$

Th $70$

F $90$

Sa $120$

Su $100$

What$$s Next?

$$ How many workers get which days off?

$$ How many people do we staff per day?

$$ What about the sensitivity report?