On the Optimal Allocation of Work in Symmetrically Unbalanced Production Line Systems with Variable Operation Times
This paper provides results related to the optimal design of unpaced production lines. It has been shown previously that unbalancing an unpaced production line in an appropriate way will increase its production rate. Results are presented here which show how the optimal allocation of work between stations changes with respect to -- the number of work stations in the line, -- the limit on the amount of work-in-progress, and -- the variance of station operation times. -- An analysis of results given here demonstrate the following system characteristics. When the number of stations in the production line increases, the average amount of unbalance in the optimal allocation remains about the same, but the increase in mean production rate obtained by using the optimal allocation rather than the balanced line becomes substantially larger. If the operation times are highly variable (exponential distribution), the effect of increasing in-process storage space is to substantially decrease the average amount of unbalance in the optimal allocation but to only slightly decrease the resulting improvement over the balanced line. If the amount of in-process storage space is very small, the effect of decreasing the variability of operation times is to decrease these same quantities but at a surprisingly slow rate. On the other hand, the effect of simultaneously increasing in-process storage space and decreasing the variability of operation times is to very rapidly decrease both the optimal unbalance and the resulting improvement. The model used to characterize an unpaced production line system is the classical queueing system with finite queues in series.
Volume (Year): 25 (1979)
Issue (Month): 8 (August)
|Contact details of provider:|| Postal: |
Web page: http://www.informs.org/Email:
More information through EDIRC
When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:25:y:1979:i:8:p:721-728. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.