# American Institute of Mathematical Sciences

July  2007, 3(3): 445-456. doi: 10.3934/jimo.2007.3.445

## A solution framework for scheduling a BPM with non-identical job dimensions

 1 Corresponding author, Department of Management Studies, Indian Institute of Science, Bangalore-560012, India 2 Department of Management Studies, Indian Institute of Science, Bangalore-560012, India

Received  March 2006 Revised  May 2007 Published  July 2007

This paper considers the problem of scheduling a single job family, where each job has non-identical job-sizes, non-identical job-dimensions and a furnace (a batch processing machine) that can process up to $B (B < n)$ jobs as a batch simultaneously. The motivation for this problem is the heat-treatment operation in the post casting stage of steel casting manufacturing. We propose (0-1) integer non-linear programming for minimizing the completion time of the last job, makespan. We also propose heuristic and a simple computational analysis which indicates heuristic algorithm has very good solution quality.
Citation: M. Ramasubramaniam, M. Mathirajan. A solution framework for scheduling a BPM with non-identical job dimensions. Journal of Industrial & Management Optimization, 2007, 3 (3) : 445-456. doi: 10.3934/jimo.2007.3.445
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