Geodesic
A Parallel Procedure of Constructing Bellman Function in the Generalized Courier Problem with Interior Works
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 12 (2012), pp. 53-76

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A construction of the parallel realization of dynamic programming method for solving the problem of sequential visiting for sets (megalopolises) with constraints in the form of preceding conditions; this problem is called generalized courier problem. It is supposed that, on these sets, the works with inputs are fulfilled. The computing procedure used partial constructing of the Bellman function array and realized by layers of the position space is investigated. In the foundation of construction the idea of a discrete dynamic system is situated; for this system, attainability domains realized by recurrence scheme are constructed.
Mots-clés : route, megalopolis
Keywords: dynamic programming. 
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     author = {A. G. Chentsov},
     title = {A  {Parallel} {Procedure} of {Constructing} {Bellman} {Function} in the {Generalized} {Courier} {Problem} with  {Interior} {Works}},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {53--76},
     publisher = {mathdoc},
     number = {12},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2012_12_a5/}
}
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A. G. Chentsov. A  Parallel Procedure of Constructing Bellman Function in the Generalized Courier Problem with  Interior Works. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 12 (2012), pp. 53-76. http://geodesic.mathdoc.fr/item/VYURU_2012_12_a5/