We develop polynomial algorithms for several cases of the NP-hard open shop scheduling problem of minimizing the number of late jobs by utilizing some recent results for the open shop makespan problem. For the two machine common due date problem, we assume that either the machines or the jobs are or
Minimizing the number of tankers to meet a fixed schedule
โ Scribed by G. B. Dantzig; D. R. Fulkerson
- Publisher
- John Wiley and Sons
- Year
- 1954
- Tongue
- English
- Weight
- 290 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0894-069X
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โฆ Synopsis
I 6 . 12 G . B . D a n t z i g and D. R . F u l k e r s o n The Hand C o r p o r a t i o n
I
It is shown that the problem of determining the minimum number of tankers required to meet a fixed schedule of transportation of Navy fuel oil can be made into a linear programming problem of the t r a n sportation type. The simplex algorithm is then applied to solve a p a rt i cular s e heduling problem.
๐ SIMILAR VOLUMES
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