Theoretical Analysis on Powers-of-Two Applied to JSP: A Case Study of Turbine Manufacturing

  • Authors:
  • V. Mahesh;L. Siva Rama Krishna;Sandeep Dulluri;C. S. P. Rao

  • Affiliations:
  • S. R. Engineering College, India;Osmania University, India;IBM India Pvt. Ltd, India;National Institute of Technology, Warangal, India

  • Venue:
  • International Journal of Green Computing
  • Year:
  • 2011

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Abstract

This paper discusses the scheduling of precedence-related jobs non-preemptively in a job shop environment with an objective of minimizing the makespan. Due to the NP-hard nature of the scheduling problems, it is usually difficult to find an exact optimal schedule and hence one should rely on finding a near to optimal solution. This paper proposes a computationally effective powers-of-two heuristic for solving job shop scheduling problem. The authors prove that the makespan obtained through powers-of-two release dates lies within 6% of the optimal value. The authors also prove the efficacy of powers-of-two approach through mathematical induction.