In this paper we address the problem of assigning seats in a train for a group of people traveling together. We consider two variants of the problem. One is a variant of two-dimensional knapsack where we consider the train as having fixed size and the objective is to maximize the utilization of the seats in the train. The other is a variant of two-dimensional bin packing where all requests must...

Abstract This is a rough guide to the topic which might be worthy develop further on. Expanding positive definiteness beyond its presupposed scope intriguing due number of possible applications. The paper though looking at first glance little bit sketchy may provide basis for research.

abdominal pregnancies are very uncommon and are misdiagnosed in half of the cases. we describe a case of abdominal pregnancy, which was misdiagnosed as pregnancy in a bicornuate uterus.the patient underwent operation urgently because of unstable hemodynamics. the spontaneously separated placenta and its bleeding site in the douglas pouch were seen. we could not use sutures for hemostasis so, th...

One of the classical results in packing theory states that every graph of order n and size less than or equal to n− 2 is packable in its complement. Moreover, the bound is sharp because the star is not packable. A similar problem arises for digraphs, namely, to find the maximal number fD(n) such that every digraph of order n and size less than or equal to fD(n) is packable. So far it is known t...

KATAPAK-S is a type of structured catalytic packing, which is used in reactive distillation processes. The dry pressure drop characteristic (the pressure drop in the absence of liquid flow) is of significant importance for the investigation of process hydrodynamics. In this paper, the dry pressure drop within the catalyst packed channels of KATAPAK-S has been investigated using Computational Fl...

in this study, the effects of particle size distribution improvement and dense packing techniques on the 28- and 90-day compressive strengths of class g oil well cement have been investigated. it was observed that limited improvements in the particle size distribution of cement (regarding industrial possibilities) cannot result in a significant increase in 28- and 90-day compressive strengths. ...

The cumulative resource constraints of the resource-constrained project scheduling problem (RCPSP) do not treat the resource demands as geometric rectangles, that is, activities are not necessarily assigned to the same resource units over their processing times. In spite of this fact, most papers on resource-constrained project scheduling mainly in the motivation phase use a strip packing of re...

Background: Saffron, the dried stigmas of crocus sativus, is the world's most expensive spice which has been used as food additive and flavoring agent. The aim of the present study has been to investigate the combination effects of gamma irradiation and silver nano particles packing on the chemical properties of saffron during storage time. A combination of hurdles can ensure stability a...