غریب الحدیث کی مشہور کتابوں کے مناہج تألیف کا تحقیقی جائزہ

Methodical codification of “Gharib ul Hadith” books started during second century. Abu Ubaida Mua‘mmar bin Muthanna, an Iraqi scholar, pioneered the field. Afterwards numerous scholars have written books on “Gharib ul Hadith” but they followed different methodologies for their compositions. Some of them have written Hadith's disorderly, and then explained all Gharib words appearing in the Hadith. This method appears in most part of their writings. Some of the scholars have observed jurisprudential method for their creations. Others followed methodology of explaining Gharibwords by organizing Hadith's; first from Prophet Muhammad, then from sahabas (companions of Prophet Muhammad s.a.w), and finally from Taba’een (immediate followers). However, some sorted Hadith in alphabetical order. This research article presented a detailed analytical review of different methodologies adopted in famous “Gharib ul Hadith” Books.

Proactive Strategies to Improve Link Stability under Topology Changes in Mobile Adhoc Networks

Improving link stability under topological changes arise due to link/node failures under uniform speeds and random trajectories of mobile nodes, is a significant problem that mustbeaddressedtoimproveroutingperformanceinmobileadhocnetworks(MANETs). Under random characteristics of wireless channels, there must be a unified model based on proactive strategies to improve link stability under topological changes for stable and robust communications among neighboring nodes. This thesis addresses the problem of linkstabilityundertopologicalchangesbypresentingproactivestrategiesforfasterfailure detection, robustly maintaining link stability, effective link stability estimation, and efficient traffic estimation. First, a novel faster failure detection (FFD) strategy is proposed for link re-connectivity under link/node failures using a Hello messaging scheme. FFD is modeled through a Continuous Time Markov Chain (CTMC) based approach to proactivelydetectlink/nodefailuresundertopologicalchangesinMANETs. TheFFDstrategy minimizes delay incurred as a result of link re-connectivity, optimizes adjacency establishments among neighboring nodes, and enables energy efficiency to improve network connectivity. Second, a novel dynamic link connectivity (DLC) strategy for maintaining link stability among neighboring nodes. DLC is modeled through CTMC by taking into account continuous time analysis of dynamic link connectivity and stationary probability distribution between neighboring node pairs. The DLC strategy examines stability of network nodes and calculates probabilities of connection and disconnection states on the basis of transition rate estimation between these states. The DLC strategy robustly maintainslinkconnectivityforfuturecommunicationsamongneighboringnodesinsideacluster. Third, novel link connectivity metrics (LCM) and path distribution analysis (PDA) strategiesarepresentedforeffectivelinkstabilityestimationinMANETs. LCMandPDA are modeled using CTMC under random movement of network nodes and topology trig xxii geredpathdurationstatisticsasafunctionofeffectivelinkstabilityestimation. TheLCM and PDA strategies collectively enhance robustness and stability of a network by making it less prone to connectivity failures for future communications among network nodes. Finally, the fourth contribution is a novel efficient traffic estimation (ETE) strategy using Hello messaging among neighboring nodes inside a cluster. ETE is modeled through periodic exchange of transmitted Hello messages under local link connectivity between neighboring node pairs, which follows a CTMC model. The ETE strategy estimates optimum Hello messages traffic through local link connectivity. Simulation and analytical results demonstrate that the proposed strategies improve link stability under topological changes and can be deployed as effective tools for maximizing routing performance in MANETs.