95
eng
reportzib
0
1993-01-13
1993-01-13
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Some Integer Programs Arising in the Design of Main Frame Computers.
In this paper we describe and discuss a problem that arises in the (global) design of a main frame computer. The task is to assign certain functional units to a given number of so called multi chip modules or printed circuit boards taking into account many technical constraints and minimizing a complex objective function. We describe the real world problem. A thorough mathematical modelling of all aspects of this problem results in a rather complicated integer program that seems to be hopelessly difficult -- at least for the present state of integer programming technology. We introduce several relaxations of the general model, which are also $NP$-hard, but seem to be more easily accessible. The mathematical relations between the relaxations and the exact formulation of the problem are discussed as well.
SC-92-25
94
urn:nbn:de:0297-zib-957
Appeared in: Zeitschrift für Operations Research 38 1 (1993) pp. 77-100.
Carlos E. Ferreira
Martin Grötschel
Stefan Kiefl
Ludwig Krispenz
Alexander Martin
Robert Weismantel
ZIB-Report
SC-92-25
Informatik, Informationswissenschaft, allgemeine Werke
ZIB Allgemein
Grötschel, Martin
https://opus4.kobv.de/opus4-zib/files/95/SC-92-25.ps
https://opus4.kobv.de/opus4-zib/files/95/SC-92-25.pdf