Minimizing setups in ordered sets of fixed width
โ Scribed by Charles J. Colbourn; William R. Pulleyblank
- Publisher
- Springer Netherlands
- Year
- 1985
- Tongue
- English
- Weight
- 190 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0167-8094
No coin nor oath required. For personal study only.
โฆ Synopsis
A simply polynomial time algorithm is given for computing the setup number, or jump number, of an ordered set with fixed width. This arises as an interesting application of a polynomial time algorithm for solving a more general weighted problem in precedence constrained scheduling.
๐ SIMILAR VOLUMES
A linear extension x,x2xs ... of a partially ordered set (X, <) has a bump whenever xi < xi+l. We examine the problem of determining linear extensions with as few bumps as possible. Heuristic algorithms for approximate bump minimization are considered. AhfS (MOS) subject classifications (1980). Prim
A linear extension x1x2. . . x, of a partially or&red set P has a bump whenever Xi <xi+1 in P. The bump number problem is to find a linear extension of P with the smallest possible number of bumps. We present a basic decomposition theorem for this problem. This leads to simple formulae for the bump
The purpose of this paper is to present some fixed point theorems for weakly contractive maps in a complete metric space endowed with a partial order.