Optimization Method for Request Admission Control to Guarantee Performance Isolation Rouven Krebs, Philipp Schneider, Nikolas Herbst March 22, 2014
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1 Optimization Method for Request Admission Control to Guarantee Performance Isolation Rouven Krebs, Philipp Schneider, Nikolas Herbst March 22, 2014 HotTopiCS 2014
2 Motivation: Isolation High overhead for resources & low utilization Service Provider provides Application Middleware Operating System Hardware Application Middleware Operating System Hardware Application Middleware Operating System Hardware 2014 SAP AG or an SAP affiliate company. All rights reserved. 2
3 Motivation: Isolation Throughput Resp. Time Throughput Resp. Time Throughput Resp. Time High overhead for resources & low utilization Service Provider provides Application Middleware Operating System Hardware Application Middleware Operating Operating System Virtualization System Hardware Application Middleware Operating System Hardware 2014 SAP AG or an SAP affiliate company. All rights reserved. 3
4 Motivation: Isolation Throughput Resp. Time Throughput Resp. Time Throughput Resp. Time Goal: High Performance overhead Isolation resources & QoS & Differentiation low utilization Service Provider provides Application Middleware Operating System Hardware Application Middleware Operating Operating System Virtualization System Hardware Application Middleware Operating System Hardware Problem: Layer Discrepancy 2014 SAP AG or an SAP affiliate company. All rights reserved. 4
5 System Overview, Problem and Contribution Thread available 100 users 200 users 150 users request response request response request response WFQ Admission Control Application Server Max 30 Threads Database configures Configuration weight vector w (w 1,,w n ) where w 1 + +w n = 1 How to find the best weights? 2014 SAP AG or an SAP affiliate company. All rights reserved. 5
6 General Approach System Relevant Information Collect Information Information used to derive a model Thinktime #User Throughput Service Time per Request Optimization Computes weights Used to optimze System Function Derive System Function Analytical Model to calculate the response time R i for tenant i dependent on w i Convex Differentiable (2 times) 2014 SAP AG or an SAP affiliate company. All rights reserved. 7
7 General Approach System Relevant Information Optimization Computes weights Collect Information Used to optimze Information used to derive a model Thinktime A system is performance isolated, if for tenants working within their quotas the performance is not affected even if other tenants exceed their quotas [3] #User Throughput Service Time per Request System Function Derive System Function Analytical Model to calculate the response time R i for tenant i dependent on w i Convex Differentiable (2 times) 2014 SAP AG or an SAP affiliate company. All rights reserved. 8
8 Optimization performance is not affected If the response time > guarantee the weight has to be increased Optimization Easily optimizeable Convex Minimum within the plane w 1 + +w n = 1 within their quotas If the quota is exceeded the performance is not longer that important Configurable Importance of guarantee Importance of quota 2014 SAP AG or an SAP affiliate company. All rights reserved. 9
9 Optimization Violation Term performance is not affected Tuning Parameter System function Guarantee If the response time > guarantee the weight has to be increased g i =4 g i = SAP AG or an SAP affiliate company. All rights reserved. 10
10 Optimization performance is not affected Optimization Easily optimizeable Convex Minimum within the plane w 1 + +w n = 1 within their quotas If the quota is exceeded the performance is not longer that important Configurable Importance of guarantee Importance of quota 2014 SAP AG or an SAP affiliate company. All rights reserved. 11
11 Optimization Penalty Term Tuning Parameter Observed load Quota within their quotas If the quota is exceeded the performance is not longer that important 2014 SAP AG or an SAP affiliate company. All rights reserved. 12
12 Optimization performance is not affected Optimization Easily optimizeable Convex Minimum within the plane w 1 + +w n = 1 within their quotas Configurable Importance of guarantee Importance of quota 2014 SAP AG or an SAP affiliate company. All rights reserved. 13
13 Optimization performance is not affected Heaviness Optimization Small tenants are preferred by the optimization. h i compensates this. Easily optimizeable Convex Minimum within the plane w 1 + +w n = 1 h i and p i are independent from w i. within their quotas Substituted Configurable Importance of guarantee Importance of quota 2014 SAP AG or an SAP affiliate company. All rights reserved. 14
14 Optimization - Optimzeable f i (w i ) = exp(α i R i (w i ) β i ). If system function R i (w i ) is convex α i R i (w i ) β i is convex, as well. Since for each convex, function φ : R R the composition exp φ is convex. Suppose the minimum lies on the boundary of the constraint plane. As each weight vector on the boundary has a component which is zero, it holds that there exists an i {1,..., n}, such that w i = 0. Since lim w 0 f j (w) = this is a contradiction. System Function Plane 2014 SAP AG or an SAP affiliate company. All rights reserved. 15
15 Optimization performance is not affected Optimization Easily optimizeable Convex Minimum within the plane w 1 + +w n = 1 within their quotas Configurable Importance of guarantee Importance of quota 2014 SAP AG or an SAP affiliate company. All rights reserved. 16
16 Optimization - Configurability (Violation Term) m1 = 1500, q1 = 1000 m3 = 900, q3 = 750 In case of a low violation term configuration parameter the quota violation is the only reference. Response time Weight C V m2 = 500, q2 = 500 m1 = 1500, q1 = 1000 m3 = 900, q3 = 750 m2 = 500, q2 = 500 In case of a high value, the quota violation is not important any more. Consequently the response time converges. Thus there is no performance isolation. Configurable Importance of guarantee Importance of quota C V 2014 SAP AG or an SAP affiliate company. All rights reserved. 17
17 Optimization - Configurability (Penalty Term) m2 = 500, q2 = 500 In case of a low penalty term configuration parameter the guarantee violation is the only important reference. Response time Weight C P m3 = 900, q3 = 750 m1 = 1500, q1 = 1000 m1 = 1500, q1 = 1000 m3 = 900, q3 = 750 m2 = 500, q2 = 500 In case of a high value, the guarantee violation becomes irrelevant. Consequently the response time depends only on the quota violation. Configurable Importance of guarantee Importance of quota C P 2014 SAP AG or an SAP affiliate company. All rights reserved. 18
18 Optimization performance is not affected Optimization Easily optimizeable Convex Minimum within the plane w 1 + +w n = 1 within their quotas Configurable 2014 SAP AG or an SAP affiliate company. All rights reserved. 19
19 Validation Optimization m3 = 900, q3 = 750 m2 = 500, q2 = 500 Validation Simulation Numerical optimizer Random samples of R i compared with real system running TPC-W, error below 20%. Response time Weight #Users tenant 1 variable q1 = 1000 variable q1 = 1000 m3 = 900, q3 = 750 m2 = 500, q2 = 500 #Users tenant SAP AG or an SAP affiliate company. All rights reserved. 20
20 Validation performance is not affected Optimization Easily optimizeable Convex Minimum within the plane w 1 + +w n = 1 within their quotas Configurable 2014 SAP AG or an SAP affiliate company. All rights reserved. 21
21 Related Work Zhang [5] and Fehling [2] are representatives of approaches where isolation is tried to be achieved by placing tenants. Control theory in general [1] dynamically optimize the system which is prone to need some time and comes along with the risk of oscillating. The SPIN environment [4] interprets the ratio of the mean arrival rate and mean service rate to detect performance anomalies/overload of the system. The aggressive tenant request flow is adopted. In our former work [3], we introduced static request admission mechanisms like Round Robin or Black Lists. However, static approach are not suitable with regards to efficiency SAP AG or an SAP affiliate company. All rights reserved. 22
22 References [1] J. Hellerstein, Y. Diao, S. Parekh, and D. Tilbury. Feedback Control of Computing Systems. Wiley, [2] C. Fehling, F. Leymann, and R. Mietzner. A framework for optimized distribution of tenants in cloud applications. In CLOUD 2010 IEEE 3 rd International Conference on Cloud Computing, [3] R. Krebs, C. Momm, and S. Kounev. Metrics and Techniques for Quantifying Performance Isolation in Cloud Environments. Elsevier Science of Computer Programming Journal (SciCo), [4] X. Li, T. Liu, Y. Li, and Y. Chen. SPIN: Service performance isolation infrastructure in multi-tenancy environment. Service-Oriented Computing,SICSOC 2008, pages , [5] Y. Zhang, Z. Wang, B. Gao, C. Guo, W. Sun, and X. Li. An effective heuristic for on-line tenant placement problem in SaaS. Web Services, IEEE International Conference on, 0: , SAP AG or an SAP affiliate company. All rights reserved. 23
23 Recap Problem Performance Isolation in multi-tenant applications is a challenge Request admission control mechanisms are one approach How to determine the weights for the admission control Approach and Contribution Derive a violation function describing the difference between each tenants response time guarantee and the observed one Derive a penalty function to remove a tenant from the optimization if he exceeds the quota Integrate both into one function Benefit Opportunity to provide better guarantees in multi-tenant applications 2014 SAP AG or an SAP affiliate company. All rights reserved. 24
24 SAP AG or an SAP affiliate company. All rights reserved. cloudscale-project.eu descartes.ipd.kit.edu
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