GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Numerical methods in Markov chain modeling
Operations Research
Structured analysis approaches for large Markov chains
Applied Numerical Mathematics
Performance analysis of a kitting process in stochastic assembly systems
Computers and Operations Research
Multi-class Markovian arrival processes and their parameter fitting
Performance Evaluation
A genetic approach to Markovian characterisation of H.264 scalable video
Multimedia Tools and Applications
A queueing theoretic approach to decoupling inventory
ASMTA'12 Proceedings of the 19th international conference on Analytical and Stochastic Modeling Techniques and Applications
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Nowadays, customers request more variation in a company's product assortment leading to an increased amount of parts moving around on the shop floor. To cope with this tendency, a kitting process can be implemented. As it gathers the necessary parts into a container prior to assembly, kitting enables a more cost-efficient and qualitative production. However, the performance of this preparation technique in an assembly process has merely been investigated. Therefore, we study a kitting process with two parts as a continuous-time Markovian queueing model. Using sparse matrix techniques to solve this model, we assess the impact of kitting interruptions, bursty part arrivals and the kitting time distribution on the behaviour of the part buffers.