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Linear Programming and Network Flows
One: Introduction.Two: Linear Algebra, Convex Analysis, and Polyhedral Sets.Three: The Simplex Method.Four: Starting Solution and Convergence.Five: Special Simplex Implementations and OptimalityExpand
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A Hierarchy of Relaxations Between the Continuous and Convex Hull Representations for Zero-One Programming Problems
In this paper a reformulation technique is presented that takes a given linear zero-one programming problem, converts it into a zero-one polynomial programming problem, and then relinearizes it intoExpand
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Nonlinear programming - theory and algorithms (2. ed.)
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On renewable sensor networks with wireless energy transfer
Traditional wireless sensor networks are constrained by limited battery energy. Thus, finite network lifetime is widely regarded as a fundamental performance bottleneck. Recent breakthrough in theExpand
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A Hierarchy of Relaxations and Convex Hull Characterizations for Mixed-integer Zero-one Programming Problems
This paper is concerned with the generation of tight equivalent representations for mixedinteger zero-one programming problems. For the linear case, we propose a technique which first converts theExpand
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Making Sensor Networks Immortal: An Energy-Renewal Approach With Wireless Power Transfer
Wireless sensor networks are constrained by limited battery energy. Thus, finite network lifetime is widely regarded as a fundamental performance bottleneck. Recent breakthrough in the area ofExpand
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A global optimization algorithm for polynomial programming problems using a Reformulation-Linearization Technique
This paper is concerned with the development of an algorithm to solve continuous polynomial programming problems for which the objective function and the constraints are specified polynomials. AExpand
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A new reformulation-linearization technique for bilinear programming problems
This paper is concerned with the development of an algorithm for general bilinear programming problems. Such problems find numerous applications in economics and game theory, location theory,Expand
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Spectrum Sharing for Multi-Hop Networking with Cognitive Radios
Cognitive radio (CR) capitalizes advances in signal processing and radio technology and is capable of reconfiguring RF and switching to desired frequency bands. It is a frequency-agile dataExpand
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