Perform. Evaluation最新文献

Resource Allocation for URLLC and eMBB Traffic in Uplink Wireless Networks 无线上行网络中URLLC和eMBB业务的资源分配

Perform. Evaluation Pub Date : 2022-09-08 DOI: 10.2139/ssrn.4220800

D. Lee, Cheng-Shang Chang, Ruhui Zhang, Mao-Pin Lee

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引用次数: 1

Asymptotic optimality of speed-aware JSQ for heterogeneous service systems 异构业务系统中速度感知JSQ的渐近最优性

Perform. Evaluation Pub Date : 2022-03-03 DOI: 10.2139/ssrn.4081867

Sanidhay Bhambay, Arpan Mukhopadhyay

{"title":"Asymptotic optimality of speed-aware JSQ for heterogeneous service systems","authors":"Sanidhay Bhambay, Arpan Mukhopadhyay","doi":"10.2139/ssrn.4081867","DOIUrl":"https://doi.org/10.2139/ssrn.4081867","url":null,"abstract":"The Join-the-Shortest-Queue (JSQ) load-balancing scheme is known to minimise the average delay of jobs in homogeneous systems consisting of identical servers. However, it performs poorly in heterogeneous systems where servers have different processing rates. Finding a delay optimal scheme remains an open problem for heterogeneous systems. In this paper, we consider a speed-aware version of the JSQ scheme for heterogeneous systems and show that it achieves delay optimality in the fluid limit. One of the key issues in establishing this optimality result for heterogeneous systems is to show that the sequence of steady-state distributions indexed by the system size is tight in an appropriately defined space. The usual technique for showing tightness by coupling with a suitably defined dominant system does not work for heterogeneous systems. To prove tightness, we devise a new technique that uses the drift of exponential Lyapunov functions. Using the non-negativity of the drift, we show that the stationary queue length distribution has an exponentially decaying tail - a fact we use to prove tightness. Another technical difficulty arises due to the complexity of the underlying state-space and the separation of two time-scales in the fluid limit. Due to these factors, the fluid-limit turns out to be a function of the invariant distribution of a multi-dimensional Markov chain which is hard to characterise. By using some properties of this invariant distribution and using the monotonicity of the system, we show that the fluid limit is has a unique and globally attractive fixed point.","PeriodicalId":19766,"journal":{"name":"Perform. Evaluation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84276181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4

Secrecy performance of multi-user multi-hop cluster-based network with joint relay and jammer selection under imperfect channel state information 不完全信道状态信息下联合中继和干扰机选择的多用户多跳集群网络的保密性能

Perform. Evaluation Pub Date : 2021-05-01 DOI: 10.1016/j.peva.2021.102193

Chu Tien Dung, T. Hoang, Nguyen Nhu Thang, M. Tran, Phuong T. Tran

引用次数: 2

On identity-aware replication in stochastic modeling for simulation-based dependability analysis of large interconnected systems 基于仿真的大型互联系统可靠性分析的随机建模中身份感知复制

Perform. Evaluation Pub Date : 2021-05-01 DOI: 10.1016/j.peva.2021.102192

S. Chiaradonna, F. Giandomenico, Giulio Masetti

引用次数: 1

Stability and tail behavior of redundancy systems with processor sharing 具有处理器共享的冗余系统的稳定性和尾部行为

Perform. Evaluation Pub Date : 2021-01-01 DOI: 10.1016/j.peva.2021.102195

Y. Raaijmakers, S. Borst, O. Boxma