Existence and nonexistence of global solutions for time-dependent damped NLS equations

We investigate the Cauchy problem for the nonlinear Schr\"odinger equation with a time-dependent linear damping term. Under non standard assumptions on the loss dissipation, we prove the blow-up in the inter-critical regime, and the global existence in the energy subcritical case. Our results generalize and improve the ones in [9, 11, 21].Comment: To appear in Communications on Pure and Applied Analysi

Modeling and optimization of supply chain cost of responsiveness

In today\u27s ever increasing competitive business world, a responsive Supply Chain (SC) should adapt itself quickly to customer demands resulting into maximum benefits to all its primary stakeholders. The objective of this work is to provide a managerial tool that optimizes the cost of responsiveness of supply chains where various transportation durations are present between the SC components, and to determine the weakest links in the SC that need strengthening for elevating the overall responsiveness. For these objectives a mathematical model was formulated and solved using CPLEX. Assessing supply chain\u27s responsiveness is discussed in this work as well using the cost of responsiveness, SC output rate and production slack times. The computational results show that the mathematical model is effective in planning and synchronizing production, shipping and storage in a supply chain from start to end so that the cost of responsiveness is minimized while customer demands are fulfilled under limited outsourcing

Selecting Sustainable Point-of-Use and Point-of-Entry Drinking Water Treatment: A Decision Support System

Point-of-use (POU) and point-of-entry (POE) water treatment are forms of decentralized water treatment that are becoming increasingly sought alternatives for ensuring the safety of drinking water. Although the acceptance of POU and POE systems is still the subject of some debate, it is generally acknowledged that they have a role to play in drinking water treatment. However, some of the main drivers for the increase in the use of POU and POE alternatives include: (1) the emergence of new technologies with high removal efficiencies of target contaminants; (2) the enhanced certification system of POU and POE treatment devices and components which ensures that devices have been well engineered to achieve defined contaminant removal targets and do not add contaminants from materials of construction; (3) the inclusion of POU and POE systems as acceptable means to comply with drinking water standards; and (4) the concerns voiced by consumers in several surveys regarding the safety of centrally treated drinking water; which, regardless of whether or not these concerns are justified, have led to an increase in the use of POU and POE treatment systems. With the commercialization of these devices the task of selecting a suitable device for treatment has become cumbersome. When the inherent complexity of a particular drinking water treatment task is added to the mix, a complex decision making situation is created. Thus the need for designing a decision support tool to compare and select POU and POE treatment systems was evident. Currently the best decision aid for selecting POU and POE systems is NSF International’s listing of the devices and their contaminant reduction claims. A significant contribution of this research is the depiction of an appropriate conceptual framework for developing usable and valid decision support systems (DSSs) to select or design water or wastewater treatment systems. A thorough investigation of the methods used to develop DSSs benchmarked a systematic approach to developing DSSs, which includes the analysis of the treatment problem(s), knowledge acquisition and representation, and the identification and evaluation of criteria controlling the selection of optimal treatment systems. Finally, it was concluded that there is a need to develop integrated DSSs that are generic, user-friendly and employ a systems analysis approach. Another significant contribution of this research is applying a systems analysis approach to outline aspects of implementation, management, and governance of POU and POE water treatment systems. The analysis also included a timeline of the progress of POU and POE treatment from regulatory, industry and certification, and research perspectives. Results of the analysis were considered the first step of a conceptual framework for the sustainability assessment of POU and POE treatment systems which acts as the basis for developing a decision support system that will help select sustainable POU or POE treatment systems. In the context of POU and POE treatment, sustainability encompasses providing: (a) safe drinking water to help maintain good human health and hygiene; (b) minimum negative impact on the environment; (c) better use of human, natural, and financial resources; (d) a high degree of functional robustness and flexibility; and (e) cultural acceptance thus encouraging responsible behavior by the users. The most significant contribution of this research is developing, for the first time, a set of sustainability criteria, objectives, and quantifiable indicators to properly assess the sustainability of the various POU and POE alternatives. Twenty five quantitative and qualitative indicators covering technical, economic, environmental, and socio-cultural aspects of implementing a POU or a POE system were defined. Results of a survey of experts’ judgment on the effectiveness of the developed list of indicators generated 52 comments from 11 experts, which helped in refining and enhancing the list. The conceptual framework for assessing the sustainability of POU and POE systems represented a blueprint for building the decision support system. Decision logic and cognitive thinking was used to formulate the calculation of the 20 refined indicators. The Analytical Hierarchy Process (AHP), a recognized Multi-criteria Decision Analysis (MCDA) tool, was employed to construct the structural hierarchy of sustainability indicators. Pairwise comparison was used to help in the analysis of indicators' relative importance and develop the indicators’ weights. A survey was designed to develop the relative weights of the indicators based on the average response of 19 stakeholders to a series of pairwise comparison questions pertaining to the relative importance of the indicators. Finally, the practical contribution of this research is the development of, for the first time, a new Decision Support System for Selecting Sustainable POU and POE Treatment Systems (D4SPOUTS) suitable for a particular water treatment case. The MCDA technique explained above is combined with designed screening rules, constraints, and case characteristics to be applied to a knowledgebase of POU and POE treatment systems incorporated in the DSS. The components of the DSS were built using Microsoft® Excel® and Visual Basic® for Applications. The quality of the DSS and aspects of its usability, applicability, and sensitivity analysis are demonstrated through a hypothetical case study for lead removal from drinking water. This research is expected to assist water purveyors, consultants, and other stakeholders in selecting sustainable and cost effective POU and POE treatment systems

A novel admission control scheme for network slicing based on squatting and kicking strategies

New services and applications impose differentquality of service (QoS) requirements on network slicing. Tomeet differentiated service requirements, current Internet servicemodel has to support emerging real-time applications from 5Gnetworks. The admission control mechanisms are expected tobe one of the key components of the future integrated serviceInternet model, for providing multi-level service guarantees withthe different classes (slices) of services. Therefore, this paperintroduces a new flexible admission control mechanism, basedon squatting and kicking techniques (SKM), which can beemployed under network slicing scenario. From the results, SKMprovides 100% total resource utilization in bandwidth contextand 100% acceptance ratio for highest priority class underdifferent input traffic volumes, which cannot be achieved byother existing schemes such as AllocTC-Sharing model due topriority constraints.Peer ReviewedPostprint (published version

EFFECTS OF FEEDING SYSTEM AND BREED ON LAMB PRODUCTIVE AND CARCASS CHARACTERISTICS IN THE SOUTH MEDITERRANEAN REGION

The objective of this study was to evaluate the effect of feeding regimes and breed type on growth, non-carcass components and carcass characteristics of light lambs. Twenty four light lambs from the rustic fat-tailed Barbarine (BB) breed and 21 from the thin-tailed Sicilo-Sarde (SS) breed were used. For each breed, animals were divided into 3 groups (8 BB and 7 SS breed, each) by live weight (LW). Two groups were conducted on rotational grazing of barley grass (GB) or perennial ryegrass (GR) and received daily 350 g of concentrate per lamb. The last group was conducted on feedlot system (FL) with 450 g of ryegrass hay and 650 g of the same concentrate per lamb per day. The whole grass yield was 5 t DM/ha for ryegrass prairie and 4.2 for barley one. The final LW was higher for GB and GR lambs (28.3 kg) than for FL ones (26.9 kg). Irrespective to breed, the average daily gain was higher for both grazing groups than FL system, 144, 137 and 121 g for GR, GB and FL regimes, respectively. Slaughter LW was higher for BB (29.0 kg) than SS breed (26.5 kg). Barbarine lambs had more fat (23 vs. 17%) and less muscle (53 vs. 57%) than SS ones. FL lambs carcasses were more adipose (26%) than those of both grass groups (18%), while grass lambs had more muscle (57 vs. 51%). Grazing grass based diets increased carcass muscle and decreased fat proportions, which could be a useful feeding strategy to naturally manipulate lamb meat nutritional characteristics

Blow-up and lifespan estimate for the generalized tricomi equation with the scale-invariant damping and time derivative nonlinearity on exterior domain

The article is devoted to investigating the initial boundary value problem for the damped wave equation in the scale-invariant case with time-dependent speed of propagation on the exterior domain. By presenting suitable multipliers and applying the test-function technique, we study the blow-up and the lifespan of the solutions to the problem with derivative-type nonlinearity $ \d u_{tt}-t^{2m}\Delta u+\frac{\mu}{t}u_t=|u_t|^p, \quad \mbox{in}\ \Omega^{c}\times[1,\infty), $ that we associate with appropriate small initial data