By Michel Léonard (auth.)
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Additional info for Database Design Theory
Verifying: a) Rk = R[R~] b) R = n * R[R~]. k=l o+ designates the set of attributes of relations Rk: o+ = R+. D is a total decomposition of R. If there is a relation RR for which R is a projection, then D is a partial decomposition of RR. Note Property b) implies property c): n u R~=R+. k=l Notation From now on Dk D D' designate implicitly decompositions respectively of Rk RandR'. Database Modelling 44 DEFINITION If the set of relations R1... Rk ... Rk+ = rk. The instances iR1 .. iRk.. i~ are mutually compatible if n (* (iRk) )[Rt] = i~ (V j e (l,n)).
B) It is possible that "in reality" the manufacture of a batch will only last 1 hour 35 minutes. However, the current model only counts in hours. So this fact could not be taken into account on the future database with such precision; the manufacture of this batch would take two hours so far as the database was concerned. c) In "reality", if it is permissible to replace one technician by another during a given hour for the manufacture of a given batch, it must be understood that at the database level with the current model one could also replace one technician by another; but the database would then regard the second as having done all the work during that hour.
NH MACHINE (NMH FUNCTION). Predicate: the machine number (NMH) identifies machines; each machine has a single function (FUNCTION). FUNCTION a machine's function word. machine number word. NMH MACHINE-AVAILABILITY (NMH NH MHAVAIL). Predicate: machine number (NMH) is at a given time either broken down, being serviced (in both cases it cannot be used for batch manufacture), or available (in this case it is, or is not, used for the manufacture of batches). MHAVAIL state of machine availability word (available, broken, being serviced).