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Class Note for COSC 7388 with Professor Zheng at UH


Class Note for COSC 7388 with Professor Zheng at UH

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This 9 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 20 views.

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Date Created: 02/06/15
2232009 Resource Management in Computer Networks Mapping from engineering problems to th t39 lf t Rong Zheng COSC 7388 Two Types of Realworld Problems Make something work a Eg build a car on 4wheel write a compiler Make something work better a What is better Performance profit faster more Resource lesser Management configuration cost lesser 5 5 s r v a I HOMERSAPIEN 22 32009 Make things better 0 Problem 1 u Maximize performance subject to resource constraints 0 Problem 2 u Minimize resource usage subject to performance requirements From Engineering Problem Domain specit39ic problem Performance optimization or resource minimization Constrained or unconstrained problem Objective tormnlation Constraint formulation Solvable by ting techniques 2232009 A Canonical Formulation maximize fXy st GXy 2 O What makes the problem difficult Objective functions can be quite sophisticated multiple local optimums Extreme points due to constraints Your optimization arsenal Linear programming LP Nonlinear programming GVLP u Convex programming 39 NLP Duality theory Integer programming D LP VS NLP Mixed integer programming a Generally NPhard Exact solutions a Simplex u Dualitytheory u Decomposition a Branch andbound Heuristic solutions a Simulatedannealing a Genetic programming a Swarm intelligence u Tabu search From Engineering Problem Domain specific problem Performance optimization or resource minimization Objective formulation Constrained or unconstrained problem Constraint formulation Solvable by existing techniques 22 32009 2232009 Objectives for resource sharing i a x a o It is often not enough to just i maximize the utilization of the luffiiiiiitil 39 resource a Starvation may arise Certain fairness shall be maintained a How fair is fair Fairness in network protocols CSMA protocols such as 80211 makes each node to have equal access probability in idleness on average a Backoff time 0 CW a Is it really fair If so in what sense If not why Transport control protocol TCP regulates the ow rate based on receiver buffer and network congestion U AIMD 1 n Throughput rtt p a Is it really fair If so in what sense If not why 22 32009 Fairness cont d Potential delay minimization 21 e L1quoti All forms can admit weighted versions to re ect bias More generally we can have 216 LU7 i Where Uo is a concave function Constraints In networks typical types of constraints are a Link capacity constraints E u Flow constraints a Individual power constraints sum power constraints a None negative constraints binary constraints a Link capacity constraint In wireline relatively straightforward 21 e A1fi 5 C1 In wireless harder to characterize a Halfduplex radio a node cannot transmit and receive at the same time u Contention links in the same contention domain a Interference leads lower attainable data rate or higher loss rate Link capacity C is a function of power distance channel interference level etc Contention constraints 2 Pa1rw1se contentlon 1 relationship 9 con ict graph V39 n Denote each link by a vertex u A directed edge e i j if linki interferes with linkj 1 2 u Clique any two nodes are adjacent 9 models pairwise exclusive relationship 3 4 22 32009 Routing Consider a routing matrix RF X L n F the number of ows u L the number of links H Rij 1 if ow i routes through link L 0 otherwise Let A k1 k2 M be the rate vector of all ows u A R is n Putting everything together wireline case Problem statement D A network N E D A set of ows F with known destination and source D Routing matrix R is given D Objective to maximize fair share among all ows route 0 link 1 link 2 link L route 1 i route 2 i Tome L i Assume each link has unit capacity What is the max throughput share maxmin share proportional fair share 22 32009 Putting everything together wireless case Problem statement a A multihop wireless network N E default link capac yr u A set of ows F with known destination and source a Routing matrix R is given a Objective to maximize proportional fair share among dl oms 22 32009 10


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