Infinite Programming: Proceedings of an International Symposium on Infinite Dimensional Linear Programming Churchill College, Cambridge, United Kingdom, September 7–10, 1984
Edward J. Anderson · Andrew B. Philpott
2012. g. dec. · Lecture Notes in Economics and Mathematical Systems 259. grāmata · Springer Science & Business Media
E-grāmata
248
Lappuses
reportAtsauksmes un vērtējumi nav pārbaudīti. Uzzināt vairāk
Par šo e-grāmatu
Infinite programming may be defined as the study of mathematical programming problems in which the number of variables and the number of constraints are both possibly infinite. Many optimization problems in engineering, operations research, and economics have natural formul- ions as infinite programs. For example, the problem of Chebyshev approximation can be posed as a linear program with an infinite number of constraints. Formally, given continuous functions f,gl,g2, ••• ,gn on the interval [a,b], we can find the linear combination of the functions gl,g2, ... ,gn which is the best uniform approximation to f by choosing real numbers a,xl,x2, •.. ,x to n minimize a t€ [a,b]. This is an example of a semi-infinite program; the number of variables is finite and the number of constraints is infinite. An example of an infinite program in which the number of constraints and the number of variables are both infinite, is the well-known continuous linear program which can be formulated as follows. T minimize ~ c(t)Tx(t)dt t b(t) , subject to Bx(t) + fo Kx(s)ds x(t) .. 0, t € [0, T] • If x is regarded as a member of some infinite-dimensional vector space of functions, then this problem is a linear program posed over that space. Observe that if the constraint equations are differentiated, then this problem takes the form of a linear optimal control problem with state IV variable inequality constraints.
Novērtējiet šo e-grāmatu
Izsakiet savu viedokli!
Informācija lasīšanai
Viedtālruņi un planšetdatori
Instalējiet lietotni Google Play grāmatas Android ierīcēm un iPad planšetdatoriem/iPhone tālruņiem. Lietotne tiks automātiski sinhronizēta ar jūsu kontu un ļaus lasīt saturu tiešsaistē vai bezsaistē neatkarīgi no jūsu atrašanās vietas.
Klēpjdatori un galddatori
Varat klausīties pakalpojumā Google Play iegādātās audiogrāmatas, izmantojot datora tīmekļa pārlūkprogrammu.
E-lasītāji un citas ierīces
Lai lasītu grāmatas tādās elektroniskās tintes ierīcēs kā Kobo e-lasītāji, nepieciešams lejupielādēt failu un pārsūtīt to uz savu ierīci. Izpildiet palīdzības centrā sniegtos detalizētos norādījumus, lai pārsūtītu failus uz atbalstītiem e-lasītājiem.
