zbMATH — the first resource for mathematics

Machining conditions-based preventive maintenance. (English) Zbl 1128.90323
Summary: In this study we propose an operating conditions-based preventive maintenance (PM) approach for computer numerical control (CNC) turning machines. A CNC machine wears according to how much it is used and the conditions under which it is used. Higher power or production rates result in more wear and higher failure rates. This relationship between the operating conditions and maintenance requirements is usually overlooked in the literature. On CNC turning machines we can control the machining conditions such as cutting speed and feed rate, which in turn affect the PM requirements of the CNC machine. We provide a new model to link the PM decisions to the machining conditions selection decisions, so that these two decision-making problems can be solved together by considering their impact on each other. We establish that our proposed geometric programming model captures the related cost terms along with the technological restrictions of CNC machines. The proposed preventive maintenance index function can be used to provide an intelligent CNC machine degradation assessment.

90B25 Reliability, availability, maintenance, inspection in operations research
Full Text: DOI
[1] DOI: 10.1016/0377-2217(95)00171-9 · Zbl 0953.90555 · doi:10.1016/0377-2217(95)00171-9
[2] Banjevic D, INFOR 39 pp 32– (2001)
[3] Bazaraa MS, Nonlinear Programming: Theory and Algorithms (1993)
[4] DOI: 10.1080/07408170304416 · doi:10.1080/07408170304416
[5] DOI: 10.1016/0020-7357(79)90020-9 · doi:10.1016/0020-7357(79)90020-9
[6] DOI: 10.1080/00207549108948056 · Zbl 0729.90530 · doi:10.1080/00207549108948056
[7] Gopalakrishnan FE, Application of Metal Cutting Theory (1987)
[8] DOI: 10.1287/mnsc.39.5.549 · doi:10.1287/mnsc.39.5.549
[9] Groover MP, Fundamentals of Modern Manufacturing: Materials, Processes and Systems (2002)
[10] Higgins LR, Maintenance Engineering Handbook (1995)
[11] Hitomi K, Manufacturing Systems Engineering: A Unified Approach to Manufacturing Technology, Production Management and Industrial Economics (1996)
[12] DOI: 10.1016/0377-2217(95)00131-X · Zbl 0913.90118 · doi:10.1016/0377-2217(95)00131-X
[13] DOI: 10.1023/A:1018914210257 · Zbl 0958.90023 · doi:10.1023/A:1018914210257
[14] Jardine AKS, Optimizing condition based maintenance decisions, in Annual Reliability and Maintainability Symposium (2002)
[15] DOI: 10.1080/0020754031000087175 · Zbl 1052.90539 · doi:10.1080/0020754031000087175
[16] DOI: 10.1080/002075497195704 · Zbl 0943.90537 · doi:10.1080/002075497195704
[17] DOI: 10.1287/opre.37.5.805 · Zbl 0681.90048 · doi:10.1287/opre.37.5.805
[18] Mitchell JS, Sound Vibr. 33 pp 21– (1999)
[19] Nolden C, Plant Engng 41 pp 38– (1987)
[20] DOI: 10.1016/S0925-5273(02)00255-4 · doi:10.1016/S0925-5273(02)00255-4
[21] DOI: 10.1080/002075499191562 · Zbl 0945.90554 · doi:10.1080/002075499191562
[22] DOI: 10.1080/002075400188933 · Zbl 0944.90536 · doi:10.1080/002075400188933
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.