Jc. Jiang et Wc. Hsiao, MATHEMATICAL-PROGRAMMING FOR THE SCHEDULING PROBLEM WITH ALTERNATE PROCESS PLANS IN FMS, Computers & industrial engineering, 27(1-4), 1994, pp. 15-18
The purpose of this research is to consider the operational scheduling
problem and the determination of production routing with alternate pr
ocess plans simultaneously such that the advantages of routing flexibi
lity are expected. The problem is formulated by using 0-1 integer prog
ramming regarding to the performance measure of either the minimum of
the absolute deviation of meeting due date or the minimum of total com
pletion time. The approach of mathematical programming generates the o
ptimal schedule, rather than near optimal schedule or a better schedul
e, to meet the selected criterion. Two mathematical formulation models
developed are presented and an example is shown in this paper referri
ng to the either one of performance criteria.