A linear programming formulation with integer solutions for solving an equipment replacement problem with multiple assets: The concave demand case

International Journal of Systems Science

Volumn 29, Issue 11, 1998, Pages 1225-1234

  Hartman, Joseph C ^a  

^a Lehigh University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; COST BENEFIT ANALYSIS; DECISION THEORY; INDUSTRIAL ECONOMICS; INTEGER PROGRAMMING; LINEAR PROGRAMMING; NUMERICAL ANALYSIS; OPERATIONS RESEARCH; PROBLEM SOLVING;

CONCAVE DEMAND; EQUIPMENT REPLACEMENT PROBLEM;

SYSTEMS ENGINEERING;

EID: 0032208903     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207729808929611     Document Type: Article

References (22)

1. Alin, G. K., and Gill, A., 1994, An efficient formulation for an equipment replacement problem. Journal of Information and Optimization Sciences, 15, 153-158.
2. ban, J. C., Lohmann, J. R., and Smith, R. L., 1985, A dynamic infinite horizon replacement economy decision model. The Engineering Economist. 30, 99-120
3. ban, J. C., Lohmann, J. R., and Smith, R. L., Equipment replacement under technological change. Naval Research Logistics. 41, 117-128.
4. Bhctor, C. R., Hawalksiika, O., and Gill, A., 1992. A 0-1 linear programming formulation for solving an equipment replacement problem. International Journal of Systems Science. 23, 2393-2399
5. Bhctor, C. R., Hawalksiika, O., and Gill, A., 1993, The equipment replacement problem: a simple solution technique. Journal of Information and Optimization Sciences. 14, 275-288.
6. Bellman, R. E., 1975, Equipment replacement policy. Journal of the Society for the Industrial Applications of Mathematics, 3, 133-136.
7. Chand, S., and Sethi, S., 1982, Planning horizon procedures for machine replacement models with several replacement alternatives. Naval Research Logistics, 29, 483-493.
8. Derman, C., 1963, Inspection-maintenance-replacement schedules under markovian deterioration. In Mathematical Optimization Techniques (Berkeley, CA: University of California Press) pp. 201-210.
9. Dreyfus, S. E., 1960, A generalized equipment replacement study. Journal of the Society for the Industrial Applications of Mathematics, 8, 425-435.
10. Gill, A., Adil, G. K., and Bector, C.R., 1994, An equipment replacement problem wilh dynamic production planning and capacity considerations. International Journal of Systems Science. 15, 153-158.
11. Hartman, J. C., 1997, Parallel replacement analysis with heterogeneous assets. In Proceedings of the Annual International Conference on Industrial Engineering Applications and Practice, I pp. 133-1138.
12. Hartman, J. C., Clarke, L. W., and Lohmann, J. R., 1991, Solving large parallel replacement problems efficiently with minimum cost low models. Technical Report 96T-0I6, 1MSE Department, Lehigh University, Bethlehem, PA, 1996.
13. Hartman, J. C., and Lohmann, J. R., 1997, Multiple options in parallel replacement analysis: buy, lease or rebuild. The Engineering Economist, 42, 223-248.
14. Hope, W. J., and Nair, S. K., 1991, Timing replacement decisions under discontinuous technological change. Nava! Research Logistics, 38, 203-220
15. Hope, W. J., and Nair, S. K., 1994, Markovian deterioration and technological change. HE Transactions, 26, 74-82.
16. Jones, P. C., Zydiak, J. L., and Hopp, W. J., 1991, Parallel machine replacement. Naval Research Logistics, 38, 351-365.
17. Karabakal, N., Lohmann, J. R., and Bean, J. C., 1994, Parallel replacement under capital rationing constraints. Management Science, 40, 305-319.
18. Lohmann, J. R., 1986, A stochastic replacement economic decision model. HE Transactions, 18, 182-194.
19. Nair, S. K., and Hopp, W, J., 1992, A model for equipment replacement due to technological obsolescence. European Journal of Operations Research, 63, 207-221.
20. Oakford, R. V., Lohmann, J. R., and Salazar, A., 1986, A dynamic replacement economy decision model. HE Transactions. 16, 65-72.
21. Sethi, S., and Chand, S., 1974, Planning horizon procedures for machine replacement models. Management Science, 25, 140-151.
22. Wagner, H. M., 1975, Principles of Operations Research (Englewood Cliffs, NJ: Prentice-Hall).