no. 4
Conditions for lumping the grades of a hierarchical manpower system
RAIRO - Operations Research - Recherche Opérationnelle, Tome 17 (1983) no. 4, pp. 379-383. 
@article{RO_1983__17_4_379_0,
     author = {Abel, Volker},
     title = {Conditions for lumping the grades of a hierarchical manpower system},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {379--383},
     publisher = {EDP-Sciences},
     volume = {17},
     number = {4},
     year = {1983},
     zbl = {0528.90056},
     language = {en},
     url = {http://www.numdam.org/item/RO_1983__17_4_379_0/}
}
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Abel, Volker. Conditions for lumping the grades of a hierarchical manpower system. RAIRO - Operations Research - Recherche Opérationnelle, Tome 17 (1983) no. 4, pp. 379-383. http://www.numdam.org/item/RO_1983__17_4_379_0/

1. D. J. Bartholomew and A. F. Forbes, Statistical Techniques for Manpower Planning, Wiley, Chichester, 1979.

2. M. Josifescu, Finite Markov Processes and Their Applications, Wiley, Chichester, 1980. | MR | Zbl

3. M. U. Thomas and D. J. Barr, An Approximate Test of Markov Chain Lumpability, J. Amer. Statistical Association, Vol. 72, 1977, pp. 175-179. | MR | Zbl