Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (4): 940-948.

• Articles • Previous Articles     Next Articles

Disruption Management for Single Machine Scheduling on Total Loss before Completion

  

  1. (1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, 2.School of Science, Hubei University of Technology, Wuhan 430068, 3.College of Economics and Management, Wuhan University of Science and Engineering, Wuhan 430073)
  • Received:2007-03-08 Revised:2008-06-21 Online:2009-08-25 Published:2009-08-25
  • Supported by:

    国家自然科学基金(70771079)资助

Abstract:

This article addresses the problem of single machine scheduling on total loss before completion that arises under disruption environment. Such a problem deals with a situation when, at time t,  a disruption unexpectedly occurs after  a subset of jobs   processed. In such cases continuing with the original schedule is likely to be suboptimal and may be even infeasible. Therefore, a new schedule is needed to process the uncompleted jobs. The approach taken here differs from most rescheduling analysis in that the loss associated with the deviation between
 the original and the new schedule is included in the model. The authors concentrate on the case in which the weighted shortest processing time (WSPT) rule is optimal for the original problem. According to type of disruption, type of disruption management policy, and objective function, several problems are studied in the paper. In each problem, the authors either find the optimal schedule or obtain some important results.

Key words: Machine rescheduling, Disruption management, WSPT rule, Total loss

CLC Number: 

  • 60F15
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