Service Levels of a datacenter, assigning probabilities

In summary, the conversation discusses the role of a CIO in managing computing and network services for business applications from two centers. The average costs of each center for providing services are given, and the total service levels are calculated by adding the service levels from each center. The first question asks for the optimal quantities of services to be delivered from each center if the total service level is 12 and the goal is to minimize cost. The second question considers the possibility of shutting down one center and delivering all services from the other, taking into account the probability distribution of service levels. Finally, the conversation asks for a decision rule to determine which center should continue operating and which one should be closed in order to minimize the cost of services.
  • #1
Hello people !

As a CIO, you have been supporting the computing and network services of business applications from 2 centers I and II. Suppose either center is capable of providing all of the service needs, that S1, S2>=0 is the level (quantity) of services delivered from each center and that the average costs of each per period is:

AC1=f(S1)=5S12 - 70 S1 + 300


AC2=f(S2)=SII2 - 32 S2 + 300

where the total service levels is S= S1+ S2

a) You have agreements totalling S=12. if you want to deliver services at min cosy, what quantities of services (S1 and/or S2) shud be delivered from each data center?

b)Suppose you have decided to shut one center and meet all service needs from only one. You also have enough information on the distribution of service levels per period. The probability density function of service levels per period is symmetric and unimodal with the probability of service levels

0<= P(S)<=1 and integral from 0 to inifinity of P(S) = 1

where P(S) is probability of service levels S

Write an equation for each center's avg cost that adjusts for the likelihood of all possible service levels. Since all services flow from one facility S1=S or S2=S ...

S= S1 (S2=0) OR S=S2 (S1=0)

c) Using result of b), Formulate and specify precisely a decision rule that wud determine whcih center wud continue to operate and which one wud be closed, where the decision criterion is to minimise cost of services.


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  • #2
are you a student at texas a&m university? just curious because i have the same question

1. What are the service levels of a datacenter?

The service levels of a datacenter refer to the level of availability and reliability of the services offered by the datacenter. This includes factors such as uptime, response time, and disaster recovery protocols.

2. How are service levels determined in a datacenter?

Service levels are typically determined through a Service Level Agreement (SLA) between the datacenter provider and their clients. This agreement outlines the expected levels of service and the consequences if those levels are not met.

3. What is the importance of assigning probabilities to service levels in a datacenter?

Assigning probabilities to service levels allows for a more accurate assessment of the datacenter's capabilities and potential risks. This information can be used to make informed decisions about resource allocation and planning for potential disruptions.

4. How are probabilities assigned to service levels?

Probabilities are typically assigned based on historical data and performance metrics. This can include factors such as past uptime, response time, and any incidents or outages that have occurred.

5. Can service levels in a datacenter be improved?

Yes, service levels in a datacenter can be improved through regular monitoring and analysis of performance metrics. By identifying areas for improvement and implementing strategies to address them, datacenters can continuously strive for higher service levels.

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