Expected number of units per period(λ)=0.75unit per period
Cost of waiting per period(C_W)=$3.20
Facility cost per unit per period(C_f)=$5.15
The formula for calculating expected service rate is as follows
= λ+√((λC_W)/C_f )
= 0.75 + √([(0.75)($3.20)]/$5.15) = 1.4326 units per period
TC_m = [($3.20 × 0.75)/(1.455 – 0.75)] + ($5.15 × 1.455) = $10.8975
The number of arrivals per period is distributed according to the poisson with the expected value of 0.75 unit per period. the cost of waiting per unit per period is $3.20. The facility cost for serving one unit per period is $5.15. What expected service rate should be established if the service duration is distributed exponentially? What is the expected total system cost?
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1 answer