Abstract
The problem of minimizing the cost due to talent hold days in the production of a feature film is considered. A combinatorial model is developed for the sequencing of shooting days in a film shoot. The problem is shown to be strongly NP-hard. A branch-and-bound solution algorithm and a heuristic solution method for large instances of the problem (15 shooting days or more) are developed and implemented on a computer. A number of randomly generated problem instances are solved to study the power and speed of the algorithms. The computational results reveal that the heuristic solution method is effective and efficient in obtaining near-optimal solutions.
Original language | English |
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Pages (from-to) | 479-492 |
Number of pages | 14 |
Journal | Journal of Optimization Theory and Applications |
Volume | 79 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Dec 1993 |
Keywords
- branch-and-bound algorithms
- NP-hardness
- Scheduling
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics
- Management Science and Operations Research