An Overview of Input-Output Analysis Applied to Production-Inventory Systems
Input-Output Analysis, together with the Laplace transform, have been applied to multi-level, multi-period production-inventory systems in a number of papers. This article gives a historical overview of the areas involved in these studies. It is shown that the input and output matrices as well as the Leontief inverse can be generalised to include timing properties for the inputs by means of the Laplace transform. The consequent advantages are exemplified in different production models, treating, for instance, capacity requirements and safety stock problems. The main literature in this field concerns assembly systems, but the approach is easily applicable to process industries with a divergent material flow or when feedback is essential.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 12 (2000)
Issue (Month): 1 ()
|Contact details of provider:|| Web page: http://www.tandfonline.com/CESR20|
|Order Information:||Web: http://www.tandfonline.com/pricing/journal/CESR20|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Robert W. Grubbström, 1967. "On The Application of the Laplace Transform to Certain Economic Problems," Management Science, INFORMS, vol. 13(7), pages 558-567, March.
- Grubbstrom, Robert W. & Molinder, Anders, 1996. "Safety production plans in MRP-systems using transform methodology," International Journal of Production Economics, Elsevier, vol. 46(1), pages 297-309, December.
- Andrew J. Clark & Herbert Scarf, 2004.
"Optimal Policies for a Multi-Echelon Inventory Problem,"
INFORMS, vol. 50(12_supple), pages 1782-1790, December.
- Andrew J. Clark & Herbert Scarf, 1960. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 6(4), pages 475-490, July.
- Bogataj, Marija, 1999. "Inventory allocation and customer travelling problem in spatial duopoly," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 271-279, March.
- Grubbstrom, R. W., 1990. "The distribution of an additive in a chemical process: An application of input-output theory," Engineering Costs and Production Economics, Elsevier, vol. 19(1-3), pages 333-340, May.
- Grubbstrom, Robert W. & Ovrin, Peter, 1992. "Intertemporal generalization of the relationship between material requirements planning and input-output analysis," International Journal of Production Economics, Elsevier, vol. 26(1-3), pages 311-318, February.
- Grubbstrom, Robert W., 1995. "Modelling production opportunities -- an historical overview," International Journal of Production Economics, Elsevier, vol. 41(1-3), pages 1-14, October.
- Grubbstrom, Robert W., 1998. "A net present value approach to safety stocks in planned production," International Journal of Production Economics, Elsevier, vol. 56(1), pages 213-229, September.
- Grubbstrom, Robert W., 1999. "A net present value approach to safety stocks in a multi-level MRP system," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 361-375, March.
- Horvat, Liljana & Bogataj, Ludvik, 1999. "A market game with the characteristic function according to the MRP and input-output analysis model," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 281-288, March. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:taf:ecsysr:v:12:y:2000:i:1:p:3-25. 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: (Michael McNulty)
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.