Technical Note

Journal of the Operational Research Society (2009) 60, 873–877; doi:10.1057/palgrave.jors.2602610; published online 21 May 2008

An algorithm for minimizing flow time and maximum earliness on a single machine

R-H Huang1 and C-L Yang1

1Fu Jen Catholic University, Taiwan, R.O.C

Correspondence: C-L Yang, Department of Business Administration, Fu Jen Catholic University, 510, Chung-Cheng Rd, Hsinchuang, Taipei Hsien 24205 Taiwan, R.O.C.. E-mail: yang0825@ms42.hinet.net

Received December 2004; Accepted January 2008; Published online 21 May 2008.

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Abstract

This study presents an algorithm for efficient scheduling in terms of total flow time and maximum earliness. All the algorithms in the literature for solving this problem are based on heuristic procedures, and cannot necessarily generate all efficient schedules. This study shows that this problem can actually be solved in pseudo-polynomial time, and develops an algorithm for so doing. The complexity of the algorithm is O (n2p macron log n). Its computational performance in solving problems of various sizes is determined.

Keywords:

machine scheduling, pseudo-polynomial, computational complexity

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