FormulaList - P – purchasing price per unit. EOQ = r 2 RK...

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Operations Management: Final Exam Formula List Fall 2008 Time to Produce X Units : Discrete process : Time to produce X units = Rush order flow time + ( X - 1) × Cycle time Continuous process : Time to produce X units = Rush order flow time + X × Cycle time Capacity of a Batch Flow : Capacity of a given batch size = Batch size Setup time + Batch size × Time per unit Waiting Time Problem : T q – average waiting time in bu er, a – average interarrival time, CV a – coe cient of variation of a , p – average service time, CV p – coe cient of variation of p , u – implied utilization. u = p ma I p = p a = mu T q = p m × u 2( m + 1) - 1 1 - u × CV 2 a + CV 2 p 2 Newsvendor Model : Q – order quantity, Pr ( D )– probability that the demand equals D , F ( D ) the cumulative probability. F ( Q ) = Type I Service Level = underage cost underage cost + overage cost EOQ Model : R – demand rate, K – fixed cost per order, H – holding cost per unit per time,
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Unformatted text preview: P – purchasing price per unit. EOQ = r 2 RK H Total cost = KR Q + HQ 2 + PR . Quality Control : Mean chart ( ¯ x chart): ¯ ¯ x ± z σ √ n or ¯ ¯ x ± A 2 ¯ R ¯ ¯ x = sample mean σ = process standard deviation n = number of observations z = standard normal deviate ¯ R = sample range A 2 = can be found in the table below Range chart ( ¯ R chart): UCL = D 4 ¯ R and LCL = D 3 ¯ R D 4 , D 3 = can be found in the table below Table A number of observations Factor for Factors for R chart in subgroup ¯ x chart Lower control limit Upper control limit n A 2 D 3 D 4 2 1.88 3.27 3 1.02 2.57 4 0.73 2.28 5 0.58 2.11 6 0.48 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86...
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This note was uploaded on 08/18/2011 for the course OM 335 taught by Professor Jonnalagedda during the Fall '08 term at University of Texas.

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