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Ye F, Zhong G, Cheng J, Lu S, Zhang L. PEAS: a robust energy conserving protocol for long-lived sensor networks . Proceedings of the 23rd International Conference on Distributed Computing Systems (ICDCS); Providence, USA; 2003. p. 28. Younis O, Ramasubramanian S, Krunz M Operational range assignment in sensor and actor networks . Ad Hoc Sens Wireless Netw 2008;5(1 2):69 100. Zhang H, Hou JC. Maintaining sensing coverage and connectivity in large sensor networks . Ad Hoc Sens Wireless Netw 2005;1:89 124.

Mousavi et al (2006) proposed a localized stochastic deployment algorithm, stanastic deployment routine (SDR) In this algorithm, sensors are dropped in a X Y eld, and they move from dense area to sparse area according to their local knowledge through restricted random walk The execution of SDR is independent of network connectivity Because of its stochastic nature, SDR provides no guarantee on coverage maximization, hole elimination, or connectivity in the nal network In SDR, time is divided into successive epochs of same size A sensor node moves at local epoch t toward a location randomly and uniformly picked within a moving rectangle (MRt ) The position of MRt changes as the node moves, and its size exponentially decreases as t increases.

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ssize_t upc_all_fwrite_list_shared(upc_ le_t *fd, size_t memvec_entries, upc_shared_memvec_t const *memvec, size_t levec_entries, upc_ levec_t const * levec, upc_ ag_t sync_mode) Description 1. upc_all_fwrite_list_shared writes data from various locations of a shared buffer in memory to a le. The le handle must be open for writing. 2. memvec_entries indicates the number of entries in the array memvec, and levec_entries indicates the number of entries in the array levec. The values may be zero, in which case the memvec or levec argument is ignored and no locations are speci ed for I/O. 3. The result is as if data were written from memory locations in the order speci ed by the list of locations in memvec to locations in the le in the order speci ed by the list in levec. The total amount of data speci ed by memvec must equal the total amount of data speci ed by levec. 4. If any of the writes from different threads result in overlapping accesses in the le, the result is determined by the current consistency and atomicity semantics mode in effect for fd (see Section 7.3.2.1). 5. On success, the function returns the number of bytes written by the calling thread. On error, it returns 1 and sets errno appropriately. Note: With the de nition above, there is no way to do with explicit offsets the equivalent of upc_all_fwrite_shared using a common le pointer; namely, where all threads specify the same access (same parameters), the data gets written collectively from a shared buffer and the function returns the total amount of data written by all threads. 7.3.6 Asynchronous I/O

For t 0, the east-to-west width of MRt is X p0 p t , while its north-to-south width is Y p0 p t , where 0 < p0 < 1 and 0 < p < 1 are prede ned constants Notice that the size of MRt depends on time t only Restricted by the ever-shrinking moving rectangle, the maximum moving distance of a sensor for a time unit exponentially decreases over time, which guarantees algorithm termination The key is determination of the position of MRt for each node at every epoch t As we shall see below, this is accomplished locally by each node on the y Suppose, at local epoch t, that a node has N neighbors (k-hop neighbors for a constant k) in total.

Let Nw and Ne be the number of neighbors that are located, respectively, on the west and the east of the north-south line through the node; Nn and Ns are de ned as the number of neighbors located, respectively, on the north and the south of the east-west line through the node Then, N = Nw + Ne = Nn + Ns For example, in Figure 108, when the solid node is at position a, N = 19, Nw = 10, Ne = 9, Nn = 13, and Ns = 6 Further, let dw , dn , de and ds denote the distance from the node, respectively, to the west-, the north-, the east-, and the south border of its MRt .

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