𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Using Lagrangean relaxation to minimize the weighted number of late jobs on a single machine

✍ Scribed by Stéphane Dauzère-Pérès; Marc Sevaux


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
135 KB
Volume
50
Category
Article
ISSN
0894-069X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Polynomial time algorithms for minimizin
✍ Philippe Baptiste 📂 Article 📅 1999 🏛 Springer US 🌐 English ⚖ 102 KB 👁 2 views

We study the problem of minimizing the weighted number of late jobs to be scheduled on a single machine when processing times are equal. In this paper, we show that this problem, as well as its preemptive variant, are strongly polynomial. When preemption is not allowed ( 1"p H "p, r H " w H ; H ), t

A note on the complexity of family sched
✍ T. C. Edwin Cheng; Zhaohui Liu; Yakov M. Shafransky 📂 Article 📅 2001 🏛 Springer US 🌐 English ⚖ 65 KB 👁 2 views

The single-machine family scheduling problem of minimizing the number of late jobs has been known to be NP-hard, but whether it is NP-hard in the strong sense is cited as an open problem in several reviews. In this note, we prove that this problem is strongly NP-hard even if all set-up times and pro