The use of sparse matrix techniques in ode — Codes

1982 ◽  
pp. 301-309
Author(s):  
Per Grove Thomsen
Keyword(s):  
Sparse Matrix ◽  
Sparse Matrix Techniques

scholarly journals Performance Analysis of a Kitting Process as a Paired Queue

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
E. De Cuypere ◽  
K. De Turck ◽  
D. Fiems
Keyword(s):  
Manufacturing System ◽  
Sparse Matrix ◽  
Shop Floor ◽  
Product Assortment ◽  
Profit Analysis ◽  
Phase Type ◽  
Assembly Unit ◽  
Sparse Matrix Techniques ◽  
And Performance ◽  
The Impact

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. Kitting is the operation of collecting the necessary parts for a given end product in a specific container, called a kit, prior to arriving at an assembly unit. As kitting performance is critical to the overall cost and performance of the manufacturing system, this paper analyses a two-part kitting process as a Markovian model. In particular, kitting is studied as a paired queue, thereby accounting for stochastic part arrivals, and kit assembly times. Using sparse matrix techniques, we assess the impact of kitting interruptions, bursty part arrivals and phase-type distributed kit assembly times on the behaviour of the part buffers. Finally, a cost-profit analysis of kitting processes is conducted and an approximation for a two-part kitting process is established.

scholarly journals Implementing sparse matrix techniques in the erato code

1981 ◽  
Vol 23 (2) ◽  
pp. 115-121 ◽  
Author(s):  
D.S. Scott ◽  
R. Gruber
Keyword(s):  
Sparse Matrix ◽  
Sparse Matrix Techniques
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