A disjunctive model for scheduling in a manufacturing and packing facility with intermediate storage

A disjunctive model for scheduling in a manufacturing and packing facility with intermediate storage

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Article ID: iaor20042068
Country: Netherlands
Volume: 1
Issue: 2
Start Page Number: 215
End Page Number: 231
Publication Date: Jul 2000
Journal: Optimization and Engineering
Authors: ,
Abstract:

The problem considered in this paper deals with the short term scheduling of a two stage continuous process with intermediate storage tanks. The major scheduling decisions in this problem are: a) the assignment of orders to various storage tanks; b) the sequence of orders in each unit; c) the timing of various operations in different stages. The problem is highly combinatorial in nature. The major challenge is to develop strong integer programming formulations and to devise efficient solution techniques. An initial model is presented in the form of a disjunctive program which is later transformed to a Mixed Integer Linear Programming problem. A number of example problems are solved which highlight the limitations of this model as the number of orders increases. A heuristic based on partial preordering is considered which solves industrial sized problems very quickly. The objective function values for the heuristic solutions are within 7% of the optimal values.

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