Dynamic Programming: A Computational Tool
Art Lew Β· Holger Mauch
αα»ααΆ 2006 Β· Springer
3.0star
ααΆαααΆαααααα 3report
ααααα
βα’αα‘α·α
ααααΌαα·α
379
ααααα
reportααΆαααΆαααααα αα·αααα·ααΆαααααααα·αααααΌαααΆααααααααααΆαααα αααααααααααααα
α’αααΈααααα βα’αα‘α·α ααααΌαα·αααα
Dynamic programming has long been applied to numerous areas in mat- matics, science, engineering, business, medicine, information systems, b- mathematics, arti?cial intelligence, among others. Applications of dynamic programming have increased as recent advances have been made in areas such as neural networks, data mining, soft computing, and other areas of com- tational intelligence. The value of dynamic programming formulations and means to obtain their computational solutions has never been greater. This book describes the use of dynamic programming as a computational tool to solve discrete optimization problems. (1) We ?rst formulate large classes of discrete optimization problems in dynamic programming terms, speci?cally by deriving the dynamic progr- ming functional equations (DPFEs) that solve these problems. A text-based language, gDPS, for expressing these DPFEs is introduced. gDPS may be regarded as a high-level speci?cation language, not a conventional procedural computer programming language, but which can be used to obtain numerical solutions. (2)Wethende?neandexaminepropertiesofBellmannets,aclassofPetri nets that serves both as a formal theoretical model of dynamic programming problems, and as an internal computer data structure representation of the DPFEs that solve these problems. (3)Wealsodescribethedesign,implementation,anduseofasoftwaretool, calledDP2PN2Solver, for solving DPFEs. DP2PN2Solver may be regarded as a program generator, whose input is a DPFE, expressed in the input spec- cation language gDPS and internally represented as a Bellman net, and whose output is its numerical solution that is produced indirectly by the generation of βsolverβ code, which when executed yields the desired solution.
ααΆαααΆααααααΆα αα·αααα·ααΆαααααα
3.0
ααΆαααΆαααααα 3
ααΆααααααααααα βα’αα‘α·α ααααΌαα·αααα
ααααΆααααΎαα’αααΈααΆααααααΎαααααα’αααα
α’αΆαβααααααΆα
ααΌαααααααααΆααα αα·αβααααααα
ααα‘αΎααααααα·ααΈ Google Play Books αααααΆαα Android αα·α iPad/iPhone α ααΆβααααΎααααΆαααααβαααααααααααααααα·ααΆαα½αβααααΈβααααα’αααβ αα·αβα’αα»ααααΆαα±ααβα’αααα’αΆααααβααΆαα’ααΈαααΊαα·α α¬ααααΆαβα’ααΈαααΊαα·αβαα
αααααααΈααααααα
αα»αααααΌαααβαα½ααα αα·ααα»αααααΌααα
α’αααα’αΆα
ααααΆααααααα
ααΆααα‘αααααααΆααα·ααα
αααα»α Google Play αααααααΎαααααα·ααΈαα»αααααΆαα’ααΈαααΊαα·ααααα»ααα»αααααΌαααααααα’αααα
eReaders αα·αβα§αααααβαααααβααα
ααΎααααΈα’αΆααα
ααΎβα§ααααα e-ink ααΌα
ααΆβα§αααααα’αΆαβααααα
α’αα‘α·α
ααααΌαα·α Kobo α’αααααΉαααααΌαβααΆαααβα―αααΆα α αΎαβαααααααΆαα
βα§αααααβααααα’αααα ααΌαα’αα»ααααααΆαβααΆαααααΆααααα’α·αααααααααααααααααα½α ααΎααααΈαααααα―αααΆαβαα
α§αααααα’αΆαααααα
βα’αα‘α·α
ααααΌαα·ααααααααΆααα
