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because there is trade-off between them Let us consider two extreme cases One is known as always-update, in which each cell is a location area Under always-update, a mobile station needs to update its location whenever it enters a new cell Obviously, the cost of location update is very high, but there is no paging cost because the cellular system can just route an incoming call to the last reported cell without paging The other is known as never-update, in which the whole service area is a location area Therefore there is no cost of location update However, the paging cost is very high because the cellular system needs to page every cell in the service area to find out the cell in which the mobile is currently located so an incoming call can be routed to the base station of that cell.

several facilities found within the programming languages, protocols, and platforms used to implement the DDBE. Often, versioning considerations are addressed by the facilities used to ful ll the Remote-Code Execution and Directory Service Requirements. In other scenarios, simple naming conventions can be used to identify the desired COS version and the available COS version. Ideally, the version information is separate from the naming information. This allows more exibility when a client is looking for a particular service. In all cases, the version information should be different whenever any signi cant change (to either the publicly visible interface or the private, hidden implementation) has been made. The environment should also support requests for a speci c version as well as requests for any version. This can also be implemented by having version numbers that have multiple parts; for example, if the version number is indicated by a major version number and a minor version number. The speci c implementation details are often very dependent on the programming language and other similar speci c environmental details, but there are several different alternatives that we can use to satisfy this requirement.

Phase 1: Setup The setup server randomly generates a set F of bivariate tdegree polynomials over the nite eld Fq To identify different polynomials, the setup server may assign each polynomial a unique ID For each sensor node i, the setup server picks a subset of polynomials F i # F , and assigns the shares of these polynomials to node i The main issue in this phase is the subset assignment problem, which speci es how to pick a subset of polynomials from F for each sensor node Phase 2: Direct Key Establishment A sensor node starts phase 2 if it needs to establish a pairwise key with another node If both sensor nodes have shares on the same bivariate polynomial, they can establish the pairwise key directly using the polynomial-based key predistribution.

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The main issue in this phase is the polynomial share discovery problem, which speci es how to nd a common bivariate polynomial, of which both nodes have polynomial shares For convenience, we say two sensor nodes have a secure link if they can establish a pairwise key through direct key establishment A pairwise key established in this phase is called a direct key Phase 3: Path-Key Establishment If direct key establishment fails, two sensor nodes need to start phase 3 to establish a pairwise key with the help of other sensor nodes To establish a pairwise key with node j, a sensor node i needs to nd a sequence of nodes between itself and node j such that any two adjacent nodes in this sequence can establish a direct key.

Various approaches for location area planning in a city environment, the worst-case environment, are discussed in [25] The simplest approach is the use of heuristic algorithms for approximating the optimal location area configuration The approach collects a high number of location area configurations and picks up the best one Although the approach does not guarantee the optimal location area configuration, the optimal solution can be approximated when the number of experiments is high A more complex approach is based on area zones and highway topology A city can have area zones such as the city center, suburbs, etc Moreover, population movements between area zones are usually routed through main highways that connect the area zones Naturally, the size of a location area is determined by the density of mobile subscribers, and the shape is determined by the highway topology.

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