2014/2
http://hdl.handle.net/11012/36712
2021-05-13T21:50:14ZDynamic pricing with capacity constraints and inventory replenishment
http://hdl.handle.net/11012/36717
Dynamic pricing with capacity constraints and inventory replenishment
Olstad, Asmund
This paper describes a fast algorithm for solving a capacitated dynamic pricing problem where the producer has the ability to store inventory. The pricing problem described is a quadratic programming problem with a structure that can be solved e ectively by a dual algorithm. The proposed algorithm gives a solution satisfying the Karush-Kuhn-Tucker conditions. This, combined with the fact that the problem has a convex feasible region with a concave objective function which we want to maximize, implies that the proposed algorithm gives a globally optimal solution. The algorithm is illustrated by numerical examples for both the single-item and the multi-item cases.
2014-01-01T00:00:00ZSynthetic differential geometry of Chen's iterated integrals
http://hdl.handle.net/11012/36716
Synthetic differential geometry of Chen's iterated integrals
Nishimura, Hirokazu
Chen's iterated integrals are treated within synthetic di erential geometry. The main result is that iterated integrals produce a subcomplex of the de Rham complex on the free path space as well as based path spaces.
2014-01-01T00:00:00ZLifting connections to the r-jet prolongation of the cotangent bundle
http://hdl.handle.net/11012/36715
Lifting connections to the r-jet prolongation of the cotangent bundle
Mikulski, Włodzimierz M.
We show that the problem of finding all Mfm -natural operators C : Q "M QJ r T ∗ lifting classical linear connections ∇ on m-manifolds M into classical linear connections CM (∇) on the r-jet prolongation J r T ∗M of the cotangent bundle T ∗M p of M can be reduced to that of finding all Mfm -natural operators D : Q "M® T ⊗ q ® T ∗ sending classical linear connections ∇ on M into tensor fields DM (∇) of type (p, q) on M .
2014-01-01T00:00:00ZNew bounds for irrationality measures of some fast converging series
http://hdl.handle.net/11012/36718
New bounds for irrationality measures of some fast converging series
Šustek, Jan
This paper presents new upper bounds for irrationality measures of some fast converging series of rational numbers. The results depend only on the speed of convergence of the series and do not depend on the arithmetical properties of the terms.
2014-01-01T00:00:00Z