A production model and maintenance planning model for the process industry



15

7. Conclusions

Increased implementation of Computer Integrated Manufacturing concepts in the process
industry raises issues in the planning of production and maintenance within an integrated process
manufacturing system. The interactions of different production and preventive maintenance
decisions impact on the proper use of available capacity and company profits. In order to tackle
these interactions, a model was developed which minimizes several production and maintenance
related cost factors during long- or medium-term planning horizons, taking into account the
probability of break-downs.

Sequence dependent setups would make the formulation even tighter and result in a shorter
computation time. Although the model was developed for the chemical industry, it may have
useful application possibilities for the discrete manufacturing industries as well, particularly in
flexible assembly systems where a bottleneck machine (cell) exists and the production is
performed on a Just-in-Time basis.

References

1. Ashayeri J., A.E.Teelen, and W. Selen, (1995), Computer Integrated Manufacturing in the
Chemical Industry: Theory and Practice
, Research Memorandum, School of Business and
Economics, Department of Econometrics, Tilburg University.

2. APICS Dictionary, (1987), 6th. ed. Falls Church, Va.: American Production and Inventory
Control Society.

3. Beyers & Partners (1993), “OMP Version 5.0: An Optimization Package for Linear and
Mixed Integer Programming”, Braaschaat, Belgium.

4. Bruvold, N.T., J.R. Evans, (1985), “Flexible Mixed-Integer Programming Formulations for
Production Scheduling Problems”,
IIE Transactions, Vol. 17, No. 1.

5. Bullock, J.H., (1979), Maintenance Planning and Control, National Association of
Accountants, New York, NY.

6. Carson, G.B., H.A. Bolz, H.H. Young, (1972), Production Handbook, The Ronald press
company, New York, NY.

7. Côté, G., M.A. Laughton, (1984), “Large Scale Mixed Integer Programming: Bender-type
Heuristics”,
European Journal of Operational Research, Vol. 16.

8. Crowder H., E. L. Johnson, and M. Padberg (1983), “Solving Large-Scale Zero-One Linear
Programming Problems”,
Operations Research, 31, 5, 803-834.

9. French, S., (1982), Sequencing and Scheduling - An Introduction to the Mathematics of the
Job-Shop
, Ellis Horwood, New York, NY.

10. Gertsbakh, I.B., (1977), Models of Preventive Maintenance, North-Holland Publishing
Company. Amsterdam.

11. Gits, C.W., (1994), “Structuring Maintenance Control Systems”, International Journal of
Operations & Production Management,
Vol. 14, No. 7.

12. Glover, F., (1984), “An Improved MIP Formulation for Products of Discrete and Continuous
Variables”,
J. of Information & Optimization Science, (Dehli), 3, 196-208.



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