Designing a system
What are the questions that comes into mind when designing a system?
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• What is the average waiting?
• Determine the number of customers waiting on an average?
• How long is average service time?
• What are the chances of one or more servers being idle?
• Determine the average utilization of the servers?
Simplified demonstration of Little’s Law: Q : Explain Queuing theory Queuing theory : Queuing theory: • Queuing theory deals with the analysis of lines where customers wait to receive a service: Q : Define Utilization Law Utilization Law Utilization Law: • ρk = XK . SK = X . DK • Utilization of a resource is the fraction
Queuing theory: • Queuing theory deals with the analysis of lines where customers wait to receive a service: Q : Define Utilization Law Utilization Law Utilization Law: • ρk = XK . SK = X . DK • Utilization of a resource is the fraction
Utilization Law: • ρk = XK . SK = X . DK • Utilization of a resource is the fraction
Solve Linear Programming Questions A producer manufactures 3 models (I, II and III) of a particular product. He uses 2 raw materials A and B of which 4000 and 6000 units respectively are obtainable. The raw materials per unit of 3
Activity 10: MANOVA and Reflection 4Comparison of Multiple Outcome Variables This activity introduces you to a very common technique - MANOVA. MANOVA is simply an extension of an ANOV
Service Demand Law:• Dk = SKVK, Average time spent by a typical request obtaining service from resource k• DK = (ρk/X
The grade point averages of 61 students who completed a college course in financial accounting have a standard deviation of .790. The grade point averages of 17 students who dropped out of the same course have a standard deviation of .940. Do the data indicate a
Derived quantities in Queuing system: • λ = A / T, Arrival rate • X = C / T, Throughput or completion rate • ρ =U= B / T, Utilization &bu
Interactive Response Time Law: • R = (L/X) - Z• Applies to closed systems.• Z is the think time. The time elapsed since&nb
Networks of queues • Typically, the flow of customers/request through a system may involve a number of different processing nodes.– IP packets through a computer network– Orders through a manufactur
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