June 2006
Beginner
793 pages
20h 59m
English
Content preview from Quantitative Techniques: Theory and Problems
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
JOB SCHEDULINGS
Problem 1.88
A big hospital has the following minimal daily requirements of doctors:
| Period | Clocktime (24 hours.) | No. of doctors required |
|---|---|---|
| 1 | 6 a.m. - 10 a.m. | 72 |
| 2 | 10 a.m. - 2 p.m. | 77 |
| 3 | 2 p.m. - 6 p.m. | 85 |
| 4 | 6 p.m. - 10 p.m. | 68 |
| 5 | 10 p.m. - 2 a.m. | 25 |
| 6 | 2 a.m. - 6 a.m. | 23 |
Doctors report to the hospital at the beginning of each period and work for 8 consecutive hours. Formulate this problem as a linear programming problem to minimise the total number of doctors to meet the needs of the hospital throughout the day.
Solution.
Let x1 represent the number of doctors required at starting period k (k = 1, 2, 6). Then the objective function and constraints can be written as:
Minimise (total number of doctors)
Z = x
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access
More than 5,000 organizations count on O’Reilly
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.