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A branch and bound algorithm for optimal television commercial scheduling.

Lu-Wen Liao1

  • 1Department of Intelligent Production Engineering, National Taichung University of Science and Technology, Taichung 40401, Taiwan.

Mathematical Biosciences and Engineering : MBE
|April 18, 2022
PubMed
Summary

This study introduces a new method for scheduling TV commercials to maximize revenue while minimizing lateness. The developed algorithm efficiently optimizes advertising placement on television channels.

Keywords:
LFJ/EDD ruleTV commercialsbranch and bound algorithmschedulingservice level requirement

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Area of Science:

  • Operations Research
  • Media Management

Background:

  • Television advertising is a primary revenue source for broadcasters.
  • Effective commercial scheduling is crucial for maximizing revenue and minimizing penalties.
  • Existing literature lacks focus on TV commercial scheduling with availability constraints.

Purpose of the Study:

  • To address the TV commercial scheduling problem with service-level requirements.
  • To minimize the maximum lateness of commercials on TV channels.
  • To adapt machine scheduling problem solutions for the TV advertising context.

Main Methods:

  • Developed an exact branch and bound algorithm.
  • Utilized least flexible job first (LFJ) and earliest due date first (EDD) rules.
  • Incorporated network flow methods for availability constraints.

Main Results:

  • The proposed bounding scheme is highly effective.
  • The branch and bound algorithm generates a very low percentage of nodes.
  • The algorithm successfully obtains optimal solutions for TV commercial scheduling.

Conclusions:

  • The new algorithm provides an effective solution for TV commercial scheduling.
  • This approach optimizes revenue and minimizes lateness for TV stations.
  • The study bridges a gap in the literature by considering availability constraints.