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52 lines
2.0 KiB
52 lines
2.0 KiB
// Properties based on those from [HHK00]
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// left_operational_i : left_n>=i & toleft_n
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// right_operational_i : right_n>=i & toright_n
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// operational_i : (left_n+right_n)>=i & toleft_n & line_n & toright_n
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// minimum_k : left_operational_k | right_operational_k | operational_k
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// premium = minimum_N
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label "minimum" = (left_n>=k & toleft_n) | (right_n>=k & toright_n) | ((left_n+right_n)>=k & toleft_n & line_n & toright_n);
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label "premium" = (left_n>=left_mx & toleft_n) | (right_n>=right_mx & toright_n) | ((left_n+right_n)>=left_mx & toleft_n & line_n & toright_n);
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const double T;
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// In the long run, the probability that premium QoS will be delivered
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S=? [ "premium" ]
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// In the long run, the chance that QoS is below minimum
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S=? [ !"minimum" ]
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// The system will always be able to offer premium QoS at some point in the future
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P>=1 [ true U "premium" ]
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// The chance that QoS drops below minimum quality within T time units
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// (from the initial state)
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P=? [ true U<=T !"minimum" ]
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// If facing insufficient QoS, the maximum probability of facing
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// the same problem after T time units
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P=? [ true U[T,T] !"minimum" {!"minimum"}{max} ]
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// The minimum probability of going from minimum QoS to premium QoS
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// within T time units
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P=? [ true U<=T "premium" {"minimum"}{min} ]
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// The minimum probability of going from minimum QoS to premium QoS
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// within T time units without violating the minimum QoS constraint along the way
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P=? [ "minimum" U<=T "premium" {"minimum"}{min} ]
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// The maximum probability that it takes more than T time units
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// to recover from insufficient QoS
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P=? [ !"minimum" U>=T "minimum" {!"minimum"}{max} ]
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// The minimum percentage of operational workstations at time T
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// when starting from below minimum QoS
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R{"percent_op"}=?[ I=T {!"minimum"}{min} ]
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// The expected time (from the initial state)
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// that the system spends below minimum QoS until time T
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R{"time_not_min"}=?[ C<=T ]
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// The expected number of repairs by time T (starting in the initial state)
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R{"num_repairs"}=?[ C<=T ]
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