Some products like green vegetables, volatile liquids and others deteriorate continuously due to evaporation, spoilage etc. In this study, an inventory model is developed for deteriorating items with linearly time dependent demand rate under inflation and time discounting over a finite planning horizon. Shortages are allowed and linearly time dependent. Mathematical model is presented for the p...

We investigate the new, Turing-complete class of layered systems, whose lefthand sides of rules can only be overlapped at a multiset of disjoint or equal positions. Layered systems define a natural notion of rank for terms: the maximal number of non-overlapping redexes along a path from the root to a leaf. Overlappings are allowed in finite or infinite trees. Rules may be non-terminating, non-l...

Let A = (aj,k)j,k≥1 be a non-negative matrix. In this paper, we characterize those A for which ‖A‖lp,lq are determined by their actions on non-negative decreasing sequences, where one of p and q is 1 or ∞. The conditions forcing on A are sufficient and they are also necessary for nonnegative finite matrices.

Massive Open Online Courses (MOOCs) have become an emergent paradigm of large-scale knowledge distribution. One of the dilemma faced by MOOC teachers is the trade-off between introducing new material and reviewing taught material. We model the recap activities as units of monotonically decreasing lengths and study the their schedule. We validate our model with the data of a Digital Signal Proce...