An algorithm for determining the optimal, unidirectional flow path for an automated guided vehicle system with a given facility layout is presented. The problem is formulated as an integer program. The objective is to minimize the total distance traveled by vehicles subject to the constraint that th
Flows on few paths: Algorithms and lower bounds
β Scribed by Maren Martens; Martin Skutella
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 208 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider the scheduling of N jobs divided into G families for processing on a single machine. No set-up is necessary between jobs belonging to the same family. A set-up must be scheduled when switching from the processing of family i jobs to those of another family j, i = j, the duration of this
## Abstract A vertex set __Y__ in a (hyper)graph is called __k__βindependent if in the sub(hyper)βgraph induced by __Y__ every vertex is incident to less than __k__ edges. We prove a lower bound for the maximum cardinality of a __k__βindependent setβin terms of degree sequencesβwhich strengthens an
A channel graph is the union of all paths between a given input and a given output in an interconnection network. At any moment in time, each vertex in such a graph is either idle or busy. The search problem that we consider is to find a path (from the given input to the given output) consisting ent