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pro vyhledávání: '"Leon Cooper"'
Introduction to Dynamic Programming introduces the reader to dynamic programming and presents the underlying mathematical ideas and results, as well as the application of these ideas to various problem areas. A large number of solved practical proble
Autor:
Leon Cooper
Publikováno v:
Historia Mathematica. 37:11-27
Although much discussed, the original intent of Problem 10 of the Moscow Mathematical Papyrus continues to be an unresolved question. This essay proposes a possible solution to the issue by joining together aspects of two theories on the subject adva
Autor:
Leon Cooper, Brian Blais
Publikováno v:
Scholarpedia. 3:1570
Autor:
Richard V. Helgason, Leon Cooper, Jeffery L. Kennington, Michael A. Collins, Larry J. LeBlanc
Publikováno v:
Management Science. 24(7):747-760
For more than forty years, approximate solutions for the classical pipe network analysis problem have been obtained by direct solution of the nonlinear stationary point conditions. We propose a revolutionary new approach involving optimization techni
Autor:
Leon Cooper, Larry J. LeBlanc
Publikováno v:
Naval Research Logistics Quarterly. 24:327-337
A class of convex programming problems with network type constraints is addressed and an algorithm for obtaining the optimal solution is described. The stochastic transportation problem (minimize shipping costs plus expected holding and shortage cost
Autor:
Mary W. Cooper, Leon Cooper
Publikováno v:
Naval Research Logistics Quarterly. 25:415-429
An exact method for solving all-integer linear-programming problems is presented. Dynamic-programming methodology is used to search efficiently candidate hyperplanes for the optimal feasible integer solution. The explosive storage requirements for hi
Autor:
I. Norman Katz, Leon Cooper
Publikováno v:
SIAM Journal on Numerical Analysis. 11:683-692
A probabilistic extension of the classical Weber problem is studied. N destinations in the plane, $P_j ,j = 1, \cdots ,N$, are given as random variables with specified probability density functions, and the problem is to find the location of the poin
Autor:
Leon Cooper, Jeff Kennington
Publikováno v:
Naval Research Logistics Quarterly. 26:447-461
This exposition presents two algorithms for linear programs which allow a value change in more than one nonbasic variable at each iteration. The computational formulae are developed and errors which have appeared in the literature are noted. One algo
Autor:
Leon Cooper
Publikováno v:
Computers & Mathematics with Applications. 4:265-275
A stochastic extension of the continuous transportation—location problem has been formulated and characterized mathematically. Both an exact method of solution for small problems and a heuristic algorithm for large scale problems has been developed
Autor:
Leon Cooper, I. Norman Katz
Publikováno v:
European Journal of Operational Research. 6:166-173
A constrained form of the Weber problem is formulated in which no path is permitted to enter a prespecified forbidden region R of the plane. Using the calculus of variations the shortest path between two points x , y ∉ R which does not intersect R