P. Banerjee et al., Optimization-based planning heuristic for material flow congestion avoidance in conveyor network design, PROD PLAN C, 10(2), 1999, pp. 181-193
A model is developed to plan material flow congestion avoidance on a networ
k of conveyors for handling discrete batches of items, e.g. scanned package
s. Minimizing maximum material flow congestion is used as a guide to design
the conveyor network by evenly distributing the flow of such batches by co
nsidering capacities of the conveyors and existing flow. Problems of this t
ype are typically NP-hard which makes them unsolvable by standard mixed int
eger programming solvers. A method based on results from probability theory
is used to solve the formulated problem. Experimental results are presente
d co demonstrate convergence within 10-100 iterations.