Undesirable effects of chaos suggest the need for a comprehensive understanding nonlinear and chaotic behavior nanodevices powered by Casimir force. Here, dynamics nanoscale mechanical device composed corrugated cylinder (pinion) placed between two plates (racks) coupled via lateral force is theoretically numerically explored when both racks undergo harmonic motion. Three dimensionless paramete...

The rapid growth of cloud computing, both in terms of the spectrum and volume of cloud workloads, necessitate re-visiting the traditional rack-mountable servers based datacenter design. Next generation datacenters need to offer enhanced support for: (i) fast changing system configuration requirements due to workload constraints, (ii) timely adoption of emerging hardware technologies, and (iii) ...

Disaggregation of resources in the data center, especially at the rack-scale, offers the opportunity to use valuable resources more efficiently. It is common that mass storage racks in large-scale clouds are filled with servers with Hard Disk Drives (HDDs) attached directly to each of them, either using SATA or SAS depending on the number of HDDs. What does disaggregated storage mean for these ...

In this paper we propose a control scheme based on coloured Petri net (CPN) for a flow-rack automated storage and retrieval system. The AS/RS is modelled using Coloured Petri nets, the developed model has been used to capture and provide the rack state. We introduce in the control system an optimization module as a decision process which performs a real-time optimization working on a discrete e...

Latching alignment stages for micro-opto-mechanical systems are constructed by deep reactive-ion etching of bonded silicon on insulator. Linear, rotary and tilt stages are demonstrated. Linear stages are driven using buckling electrothermal actuators, and latching is performed by a rack-and-tooth mechanism driven by shape bimorph actuators. In-plane rotation is obtained by using a linear actuat...

A study was performed to examine the changes in density of stacked roundwood, chips, and chunks as affected by various compaction treatments. Density of stacked roundwood bolts was tested for the effect of stacking orientation, binding of the stack ends, and species. Stacked bolt wood occupied less than 50 percent of the total rack space for all species, giving final dry bulk densities, based o...

We study the expected delay in a cyclic polling model with mixtures of exhaustive and gated service in heavy traffic. We obtain closed-form expressions for the mean delay under standard heavy-traffic scalings, providing new insights into the behaviour of polling systems in heavy traffic. The results lead to excellent approximations of the expected waiting times in practical heavy-load scenarios...

We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack’s second rack cohomology satisfying a new degeneracy conditio...

In this paper, a question due to Heckenberger, Shareshian and Welker on racks in Heckenberger et al. (Trans Am Math Soc, 372:1407–1427, 2019) is positively answered. A rack set together with self-distributive bijective binary operation. We show that the lattice of subracks every finite complemented. Moreover, we characterize modular lattices terms complements subracks. Also, introduce certain c...