Formulate but do not solve an algebraic model for the following situation. City bus drivers work two
Question:
Formulate but do not solve an algebraic model for the following situation. City bus drivers work two four-hour shifts per day. In some cases, the two shifts are consecutive (effectively one eight-hour shift), but usually they are not. All drivers earn a base rate of $26.25 per hour (i.e. $210 per day). Because of the inconvenience of breaking up the day, those who work non-consecutive shifts are paid a $18 per day bonus. The city bus service has the following daily requirements for drivers:
shift | time of day | minimum number of drivers needed |
1 | 0500 to 0859 | 150 |
2 | 0900 to 1259 | 80 |
3 | 1300 to 1659 | 90 |
4 | 1700 to 2059 | 160 |
5 | 2100 to 0059 | 70 |
Nobody will be working on both shifts 1 and 5. Subject to meeting all its requirements for drivers. the city bus service wants to minimize its daily labour cost (regular and bonus)
Modern Database Management
ISBN: 978-0133544619
12th edition
Authors: Jeff Hoffer, Ramesh Venkataraman, Heikki Topi