By Martin J. Beckmann
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Extra resources for Tinbergen Lectures on Organization Theory
There is a unique element j i. The organization chart is weakly connected. In this postulate set acyclicity is replaced by weak connectivity. we Theorem 3: is a source. Proof: At P p show By postulate 3 there is a semipath between the direction is reversed. k2 = sp(m) But reversal at for kl * k2 sp(j). p the semipath until either i p and i. Continue in this direction on is reached or the direction is m implies that kl sp(m) , contradicting postulate 2. Hence, p is 27 strongly connected to every i.
35]. we ask: Under what conditions is the element p identified by the structure of the organization's graph? Distinguished points in a tree are either endpoints or a unique central point. Now an endpoint having degree one would imply a presidential span of control of one. In effect, all members of the organization would report to a subordinate of the president, a degenerate case that will be ignored. In the following p is assumed to be the unique central point of the organization's tree. , paths to endpoints which have equal maximal length.
The relationship "supervision" is not one-to- By Postulate 2 of Section 2, each organization member, except the president, has one and only one supervisor. Supervision would give rise to unnecessary chains of command, if a supervisor had only one subordinate. The number of immediate subordinates of a full- time supervisor is called his/her span of control s. From now on this span is assumed to be at least 2, s ~ 2. , Koontz-O'Donnell, 1959J for supervising managers 8 ( S ( 15 for supervising operatives.