Optimal Maintenance of Semi-Markov Missions

Çekyay, Bora; Özekıcı, Süleyman

doi:10.1017/s0269964814000229

Cited by 10 publications

(8 citation statements)

References 17 publications

(21 reference statements)

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“…A number of maintenance models have been proposed for multi‐unit systems, but most of them consider positive economic dependence (see e.g., Refs. ). Vu et al considers both negative and positive economic dependence in complex multi‐unit systems having a mixture of series and parallel connections.…”

Section: Literature Reviewmentioning

confidence: 97%

“…For continuous and infinite state space (i, ) the value iteration algorithm is intractable when solving problem (7). For the sake of tractability, the continuous component of the state space can be discretized by d s ∈ where = {0, ε, 2ε, .…”

Section: Appendix A: Value Iteration Algorithmmentioning

confidence: 99%

“…In this article, we use the intrinsic age concept to model this degradation process (see, e.g., Refs. ). The intrinsic age is analogous to an intrinsic clock which ticks on a different pace in different operating modes for active and standby units.…”

Section: Introductionmentioning

confidence: 97%

“…For the above-given examples, the sequence and the duration of operating modes can be modelled as random variables (see, e.g., Refs. 6,7).…”

Section: Introductionmentioning

confidence: 99%

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Optimizing usage and maintenance decisions for k‐out‐of‐n systems of moving assets

Eruguz

Tan

Houtum

2017

Naval Research Logistics

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Abstract:We consider an integrated usage and maintenance optimization problem for a k-outof-n system pertaining to a moving asset. The k-out-of-n systems are commonly utilized in practice to increase availability, where n denotes the total number of parallel and identical units and k the number of units required to be active for a functional system. Moving assets such as aircrafts, ships, and submarines are subject to different operating modes. Operating modes can dictate not only the number of system units that are needed to be active, but also where the moving asset physically is, and under which environmental conditions it operates. We use the intrinsic age concept to model the degradation process. The intrinsic age is analogous to an intrinsic clock which ticks on a different pace in different operating modes. In our problem setting, the number of active units, degradation rates of active and standby units, maintenance costs, and type of economic dependencies are functions of operating modes. In each operating mode, the decision maker should decide on the set of units to activate (usage decision) and the set of units to maintain (maintenance decision). Since the degradation rate differs for active and standby units, the units to be maintained depend on the units that have been activated, and vice versa. In order to minimize maintenance costs, usage and maintenance decisions should be jointly optimized. We formulate this problem as a Markov decision process and provide some structural properties of the optimal policy. Moreover, we assess the performance of usage policies that are commonly implemented for maritime systems. We show that the cost increase resulting from these policies is up to 27% for realistic settings. Our numerical experiments demonstrate the cases in which joint usage and maintenance optimization is more valuable.

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Section: Literature Reviewmentioning

confidence: 97%

Section: Appendix A: Value Iteration Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

“…For the above-given examples, the sequence and the duration of operating modes can be modelled as random variables (see, e.g., Refs. 6,7).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimizing usage and maintenance decisions for k‐out‐of‐n systems of moving assets

Eruguz

Tan

Houtum

2017

Naval Research Logistics

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“…Özekici [174] studies the maintenance problem of a system operating in a random environment by considering environmental state dependent cost structures. Çekyay and Özekici [175] provide an extension of [174] by considering the multi-component case with non-identical components. Çekyay and Özekici [176] study the maintenance problem of a mission-based system that is designed to perform missions consisting of a random sequence of phases with random durations.…”

Section: State-of-the-artmentioning

confidence: 99%