检索结果-内蒙古大学图书馆

Path-Following Algorithms for Posynomial geometric programming problems

Journal of the Chinese Institute of Industrial Engineers 2000年第2期17卷 223-232页

作者： Hsu-Hao Yang [a]Department of Industrial Engineering and Management

geometric programming (GP) is a class of optimization problems with a nonlinear objective function subject to a set of nonlinear constraints. The problems considered in this paper are posynomial GP problems, whose solutions can be obtained by solving a dual linear programing problem. The primary purpose of this paper is to investigate the quality of solutions found by, the application of a path-following algorithm, which is one of interior point methods. Two majorr approches to solve posynomial GP problems are investigated. One is dual GP as Generalized Lmear programming (GLP) and the other is the traditional dual GP. The test results suggest that dual GP as GLP approach is advantageous over the posynomial one in the event that high a~curacy of the solution is required or critically important.

关键词： Interior point methods path-following algorithm geometric programming problem 內點法 path-following演算法幾何規劃問題

来源：评论

学校读者我要写书评

暂无评论

Energy-efficient pilot and data power allocation in massive multi-user multiple-input multiple-output communication systems

引用

IET COMMUNICATIONS 2016年第14期10卷 1721-1729页

作者： Zhang, Ye Zhu, Wei-Ping Concordia Univ Dept Elect & Comp Engn Montreal PQ Canada

This study aims to improve the energy efficiency of time-division duplexing massive multi-user multiple-input multiple-output communication systems for both uplink and downlink transmissions. By using minimum mean square error channel estimation, two novel pilot-data power allocation schemes are proposed to minimise the total uplink and downlink transmit power under per-user signal-to-interference-plus-noise ratio (SINR) requirement and per-user power consumption constraints. The proposed schemes take into account the maximum-ratio combining and zero-forcing (ZF) detectors in the uplink transmission together with maximum-ratio transmission and ZF precoder in the downlink transmission. In order to simplify the proposed optimisation problems, lower bounds of the average SINR are derived and used in the power allocation algorithms. The key contribution of this study lies in formulating the original energy-efficient power allocation problem and converting such a complicated optimisation problem to a geometric programming problem. Computer simulation validates the tightness of the derived SINR lower bounds and shows that the proposed schemes can save up to 78% of the total power as compared with the equal power allocation among all the mobile users.

关键词： MIMO communication multiuser channels telecommunication power management time division multiplexing least mean squares methods channel estimation minimisation diversity reception geometric programming precoding energy conservation massive multiuser multiple-input multiple-output communication systems energy efficiency improvement time-division duplexing uplink transmissions downlink transmissions minimum mean square error channel estimation pilot-data power allocation schemes total uplink-downlink transmit power minimisation per-user signal-to-interference-plus-noise ratio requirement per-user power consumption constraints maximum-ratio combining zero-forcing detectors ZF detectors maximum-ratio transmission ZF precoder optimisation problems geometric programming problem

来源：评论

学校读者我要写书评

暂无评论

Robust resource allocation for heterogeneous wireless network: a worst-case optimisation

引用

IET COMMUNICATIONS 2018年第9期12卷 1064-1071页

作者： Xu, Yongjun Hu, Yuan Li, Guoquan Zhang, Haibo Chongqing Univ Posts & Telecommun Sch Commun & Informat Engn Chongqing 400065 Peoples R China Xidian Univ State Key Lab Integrated Serv Networks Xian 710071 Shanxi Iran

With the development of fifth generation wireless communication technology, how to improve system capacity and spectrum efficiency is a crucial problem in resource sharing of heterogeneous networks (HetNets). Most of existing resource allocation (RA) schemes in HetNets focus on perfect channel state information, however, exact channel information is difficult to obtain under link delay and stochastic channel condition. In order to resolve the RA issues under channel uncertainties, a robust RA algorithm is proposed to maximise the sum data rate of microcell users where the users are subjected to the individual transmission power constraint and the cross-tier interference constraint of macrocell users. The multiuser RA problem in HetNets is formulated under the consideration of bounded channel gain uncertainties where both the cross-tier channel and intra-tier channel are simultaneously considered. The non-linear optimisation problem is converted into a geometric programming problem that is solved by using Lagrange dual methods in a distributed way. Simulation results show that the proposed algorithm can well restrain the effect of channel uncertainty and achieve a good robustness.

关键词： stochastic processes optimisation wireless channels channel allocation radiofrequency interference resource allocation femtocellular radio geometric programming radio networks cellular radio RA issues channel uncertainty robust RA algorithm sum data rate microcell users individual transmission power constraint cross-tier interference constraint macrocell users multiuser RA allocation problem bounded channel gain uncertainties cross-tier channel intra-tier channel nonlinear optimisation problem geometric programming problem good robustness robust resource allocation heterogeneous wireless network worst-case optimisation fifth generation wireless communication technology system capacity spectrum efficiency crucial problem resource sharing heterogeneous networks resource allocation schemes HetNets focus perfect channel state information exact channel information link delay stochastic channel condition

来源：评论

学校读者我要写书评

暂无评论

Robust adaptive power control for cognitive radio networks

引用

IET SIGNAL PROCESSING 2016年第1期10卷 19-27页

作者： Xu, Yongjun Zhao, Xiaohui Jilin Univ Coll Commun Engn Changchun 130012 Peoples R China

In this study, the problem of robust adaptive power control (PC) in an underlay cognitive radio network with multiple secondary users (SUs) and primary users (PUs) is considered. Due to the effects of uncertainties (i.e. estimation errors, delays), the optimal PC (resource allocation) cannot guarantee the quality of service of SUs and PUs under imperfect channel state information and interference power of PUs. A robust resource allocation problem is formulated to maximise sum throughput of SUs under individual power constraints and signal-to-interference-and-noise ratio constraints of SUs as well as interference temperature constraints of PUs, whereas channel uncertainties and interference uncertainties induced into the secondary system are modelled by multiplicative uncertainties. Under the worst-case approach, the problem is transformed into a geometric programming problem solved by Lagrange dual methods. The performance of the different algorithms and the impact of uncertainties are discussed according to several simulation results.

关键词： robust control adaptive control power control cognitive radio telecommunication control quality of service radiofrequency interference resource allocation geometric programming cognitive radio networks robust adaptive power control multiple secondary users primary users resource allocation quality of service PU SU robust resource allocation problem geometric programming problem Lagrange dual methods

来源：评论

学校读者我要写书评

暂无评论

Using geometric Arithmetic Mean to Solve Non-linear Fractional programming problems

引用

International Journal of Applied and Computational Mathematics 2022年第5期8卷 1-16页

作者： Nawkhass, Maher A. Sulaiman, Nejmaddin A. Department of Mathematics College of Education Salahaddin University-Erbil Kurdistan Region Erbīl Iraq

In this paper, the researchers will present geometric arithmetic mean to solve non-linear fractional programming. To do this, we shall derive the inequality using the classical optimization theorem by developing the necessary and sufficient conditions for identifying the stationary points of the general inequality constraint optimization problems. Through using the geometric arithmetic mean inequality, we shall indicate how these relationships may be used to obtain the optimal solution of non-linear fractional problems. It will be observed that when the problem has a special structure, the solution may be obtained by solving a set of linear equations. Also, the numerical results are simulated by comparing geometric arithmetic mean approach with unconstrained problems of maxima and minima approach. Several examples are presented to show the validity of the proposed approach. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.

关键词： Arithmetic mean inequality geometric programming problem Non-linear fractional

来源：评论

学校读者我要写书评

暂无评论

Power Control and Rate Allocation for Outage Balancing in Femtocell Networks

Power Control and Rate Allocation for Outage Balancing in Fe...

引用

IEEE Global Communications Conference

作者： Haining Wang Zhi Ding Department of Electrical and Computer Engineering University of California

ISBN: (纸本)9781479935130

We consider the fairness problem of outage probability balancing based on statistical channel state information (CSI) in closed-access femtocell networks where multiple sub-channels are shared among macro and femto user equipments. We aim to maximize a utility function of outage probabilities for each femto user equipment (FUE) in the network under a macro user equipment (MUE) outage constraint. In light of rate requirement for each FUE, we jointly optimize the power allocation for both FUEs and MUEs as well as the rate allocation for FUE in each sub-channels. Using successive convex approximation, we develop a centralized algorithm to iteratively tackle a series of geometric programming problems. For base-stations connected through back-haul, we further design a distributed algorithm to update optimization variables locally through message passing.

关键词： convex programming electronic messaging femtocellular radio geometric programming iterative methods statistical distributions telecommunication network reliability wireless channels FUE outage constraint MUE outage constraint Power Control Rate Allocation base station optimization centralized algorithm closed-access femtocell network femtouser equipment geometric programming problem iterative method macrouser equipment message passing outage probability balancing fairness problem statistical CSI statistical channel state information successive convex approximation utility function Interference Optimization Power control Probability Resource management Signal to noise ratio Wireless communication

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：