what does (R={a, p, b, q|(a<p)∪((a=p)∩ (b<q))}) mean?

[rajeshravindranc]

I have encountered this problem in a management paper...Here 'a' and 'p' are two group of jobs and b is a job in group 'a' and 'q' is job in group 'p'.
They have defined the set "R' just to say that all the terms a,b,p,q are members of "R"..
But what does the set physically mean?? pls help


is it related to arrival time of groups??
is it saying that group "a" arrived before "p" and if they both arrive together job "b" is processed before "q"?

 

[daon2]

I have encountered this problem in a management paper...Here 'a' and 'p' are two group of jobs and b is a job in group 'a' and 'q' is job in group 'p'.
They have defined the set "R' just to say that all the terms a,b,p,q are members of "R"..
But what does the set physically mean?? pls help


is it related to arrival time of groups??
is it saying that group "a" arrived before "p" and if they both arrive together job "b" is processed before "q"?

It looks like it's an attempt at discussing dictionary ordering, with "R" being the relation "less than", though the definition strikes me as odd. I would write it as:

\(\displaystyle (a,b) < (p,q) \iff (a<p) \text{ or } (a=p \text{ and } b<q)\)

or

\(\displaystyle R_{<} = \{ \left((a,b),(p,q)\right); (a<p) \cup (a=p \ \ \cap \ \ b<q)\}\)

This is named this way, because in the dictionary, for example "he" < "hi" because the first letters are equal (a=p="h") but the second letter "he" precedes the second letter of "hi" so, "he" should occur first in the dictionary.

 

[rajeshravindranc]

It looks like it's an attempt at discussing dictionary ordering, with "R" being the relation "less than", though the definition strikes me as odd. I would write it as:

\(\displaystyle (a,b) < (p,q) \iff (a<p) \text{ or } (a=p \text{ and } b<q)\)

or

\(\displaystyle R_{<} = \{ \left((a,b),(p,q)\right); (a<p) \cup (a=p \ \ \cap \ \ b<q)\}\)

This is named this way, because in the dictionary, for example "he" < "hi" because the first letters are equal (a=p="h") but the second letter "he" precedes the second letter of "hi" so, "he" should occur first in the dictionary.

thanks for the reply
Its not a dictionary order...i think ihave to clarify with the authors of the journal for the best