Discrete–continuous analysis of optimal equipment replacement

Discrete–continuous analysis of optimal equipment replacement

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Article ID: iaor20105928
Volume: 17
Issue: 5
Start Page Number: 577
End Page Number: 593
Publication Date: Sep 2010
Journal: International Transactions in Operational Research
Authors: ,
Abstract:

In operations research, the equipment replacement process is usually modeled in discrete time. An alternative approach is represented by continuous-time vintage capital models that explicitly involve the equipment lifetime and are described by nonlinear integral equations. The paper introduces and analyzes a model that unites both these approaches. The structure of optimal replacement, transition, and long-term dynamics, and clustering and splitting of replaced machines are discussed and illustrated with numeric examples. Equipment splitting is demonstrated when the optimal equipment lifetime increases.

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