Markov models for reliability and cost analysis of repairable systems incorporating maintenance and inspections
| dc.contributor.advisor | Singh, S.B. | |
| dc.contributor.author | Pant, Himani | |
| dc.date.accessioned | 2022-04-25T09:30:16Z | |
| dc.date.available | 2022-04-25T09:30:16Z | |
| dc.date.issued | 2022-01 | |
| dc.description.abstract | The present research is based on the development of reliability models incorporating maintenance and inspection policies and studying them utilizing a Markov process approach. In this study, eight different models have been developed. Model 1 examines a maintained system with numerous failure modes that is subjected to periodic inspection using a calendar-based inspection strategy. The system is renewed at each of the inspection. The limiting average and point availability theorems for the model are deduced. Model 2 provides a model for a maintained k-out-of-n:G system with several failure modes that must be inspected on a periodic basis. During the inspection, the system is renewed if discovered to be operating or failed. Theorems on limiting and point availability and long-run average cost rate (LRACR) for the system are developed. Model 3 presents a three-state (normal, degraded, and entirely failed) and newly introduced k/r-out-of-n system with a repair strategy that is periodically examined. For the suggested model, theorems on LRACR and limiting and point availability are derived. Model 4 investigates a system with hidden defects that is subjected to sequential examination. When a system breakdown is detected, perfect repairs are carried out at random times. Propositions on point and limiting availability and system's LRACR are obtained. Model 5 examines a single-unit system that is susceptible to degradation and shocks. The system has three states: normal, degraded, or failed. Inspections are undertaken progressively at sequential times. When a total or partial failure is identified, perfect repairs are done. The reliability, availability (point and limiting) and the LRACR of the system are computed. Model 6 looks at broad expressions for limiting availability and LRACR of a single-unit randomly failing system with alternating phases of operation and rest. System undergoes imperfect periodic inspections. Furthermore, it is assumed that inspection and maintenance time is non-negligible, and that corrective repairs are perfect. Model 7 analyses the availability (point and limiting) and cost of a system examined on a periodic basis and incorporating numerous failure modes and a downtime limit concept. Model 8 looks into an optimal design problem for a repairable series parallel system. The system's components are prone to breakdown, with various repair teams assigned to each subsystem. Four types of interdependence are explored. The goal of the task was to identify the ideal number of system components and repair teams that minimises the system cost. The PSO technique with dynamic parameters is used to find the ideal structure. All the presented models are demonstrated by appropriate illustrative examples. | en_US |
| dc.identifier.uri | https://krishikosh.egranth.ac.in/handle/1/5810183861 | |
| dc.keywords | cost analysis, incorporation, models | en_US |
| dc.language.iso | English | en_US |
| dc.pages | 219 | en_US |
| dc.publisher | G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand) | en_US |
| dc.research.problem | Markov Process | en_US |
| dc.sub | Mathematics | en_US |
| dc.theme | Models | en_US |
| dc.these.type | Ph.D | en_US |
| dc.title | Markov models for reliability and cost analysis of repairable systems incorporating maintenance and inspections | en_US |
| dc.type | Thesis | en_US |