Reference number : GC-2017-Q1-01958, amendment number : , agreement type : G, recipient legal name : Cox, Danielle (Mount Saint Vincent University), recipient country : CA, recipient province : nan, recipient city : Nova Scotia|Nouvelle-Écosse, recipient postal code : nan, program name english : Discovery Grants Program - Individual, program name french : Programme de subventions à la découverte - individuelles, program purpose english : In today's technologically advanced world, the study of network reliability is very important. Many different reliability models have been developed to represent a variety of desired network properties. These models fall into one of two categories: coherent or non­-coherent reliability systems. 
 
In this proposed research I will investigate specific reliability models from both categories, with the purpose of understanding the properties of general coherent and non-coherent reliability systems. The goals of the proposed research are as follows: 
 
1) To deepen our understanding of the behaviour of the reliability polynomial on [0,1]. 
2) To analyse the underlying combinatorial structure of reliability systems. 
3) To apply the theoretical study of reliability systems to the real world design of networks. 
 
To achieve these goals, I will study specific reliability models by using and expanding on techniques from my previous successful network reliability investigations. I will answer questions regarding the analytic properties and behaviour of the reliability polynomial on [0,1], as well as propose optimal network designs. The anticipated research will advance the knowledge of reliability systems and have direct applications to the design of networks. The introduction of a new non-coherent reliability system, the strongly connected node failure reliability model, will provide new problems to investigate and have applications to directed networks with potential node failures., program purpose french : In today's technologically advanced world, the study of network reliability is very important. Many different reliability models have been developed to represent a variety of desired network properties. These models fall into one of two categories: coherent or non­-coherent reliability systems. 
 
In this proposed research I will investigate specific reliability models from both categories, with the purpose of understanding the properties of general coherent and non-coherent reliability systems. The goals of the proposed research are as follows: 
 
1) To deepen our understanding of the behaviour of the reliability polynomial on [0,1]. 
2) To analyse the underlying combinatorial structure of reliability systems. 
3) To apply the theoretical study of reliability systems to the real world design of networks. 
 
To achieve these goals, I will study specific reliability models by using and expanding on techniques from my previous successful network reliability investigations. I will answer questions regarding the analytic properties and behaviour of the reliability polynomial on [0,1], as well as propose optimal network designs. The anticipated research will advance the knowledge of reliability systems and have direct applications to the design of networks. The introduction of a new non-coherent reliability system, the strongly connected node failure reliability model, will provide new problems to investigate and have applications to directed networks with potential node failures., agreement title english : On Network Reliability, agreement title french : On Network Reliability, agreement number : RGPIN, agreement value : 70000.0, agreement start date : 2017-05-10, agreement end date : nan, description english : nan, description french : nan, expected results english : nan, expected results french : nan, additional information english : Grant or Award spanning more than one fiscal year. (2017-2018 to 2022-2023), additional information french : Subvention ou bourse octroyée s'appliquant à plus d'un exercice financier. (2017-2018 à 2022-2023), owner organization : nserc-crsng, owner organization title : Natural Sciences and Engineering Research Council of Canada | Conseil de recherches en sciences naturelles et en génie du Canada