Operation Management Formular Sheet
CHAPTER 1:
Productivity = Units producedInput used (1-1)
Multifactor productivity (total factor) = ductivity) qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqOutputLabor+Material+Energy+Capital+Miscellaneous (1-2)
CHAPTER 7:
Value-added time = Operation time/total time (H-B)
SUPPLEMENT 7:
Utilization = Actual OutputDesign Capacity (S7-1)
Efficiency = Actual OutputEffective Capacity (S7-2)
Actual (Expected) output = (Effective Capacity)×(Efficiency) (S7-3)
Break-even Analysis Notation:
BEPx = break-even point in units
BEP$ = break-even point in dollars
P = price per unit x = # of units produced
TR = total revenue = Px
F = fixed costs
V = variable costs per unit
TC = total costs = F + Vx
TR = TC or Px = F+Vx * BEPx = FP-V BEP$ = F1-V/P Profit = TR – TC = (P – V)x – F
Break-even in units = Total fixed costPrice-Variable cost (S7-4)
Break-even in dollars = Total fixed cost1-Variable costSelling price (S7-5)
(Multifactor) BEPUniti = BEP$ ×Fraction of TRSelling Price
Multiproduct Break-even in dollars (BEP$) = F1-ViPi ×(Wi) (S7-6) where i = each product W = percent ea. product is of TR
MODULE D:
Poisson distribution: P(x) = e-λλxx! for x = 0,1,2,3,4,… (D-1) where P(x) = probability of x arrivals x = # of arrivals per unit of time λ = average arrival rate e = 2.7183 (which is the base of the natural logarithms)
Table D.2: Queuing Models Described in Module D Model | Name (technical name in parentheses) | Example | Number of Channels | Number of Phases | Arrival Rate Pattern | Service Time Pattern | Population Size | Queue Discipline | A | Single-channel system (M/M/1) | Information counter at department store | Single | Single | Poisson | Exponential | Unlimited | FIFO | B | Multichannel (M/M/S) | Airline ticket counter | Multi-channel | Single | Poisson | Exponential | Unlimited | FIFO | C | Constant Service (M/D/1) | Automated car wash |
Productivity = Units producedInput used (1-1)
Multifactor productivity (total factor) = ductivity) qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqOutputLabor+Material+Energy+Capital+Miscellaneous (1-2)
CHAPTER 7:
Value-added time = Operation time/total time (H-B)
SUPPLEMENT 7:
Utilization = Actual OutputDesign Capacity (S7-1)
Efficiency = Actual OutputEffective Capacity (S7-2)
Actual (Expected) output = (Effective Capacity)×(Efficiency) (S7-3)
Break-even Analysis Notation:
BEPx = break-even point in units
BEP$ = break-even point in dollars
P = price per unit x = # of units produced
TR = total revenue = Px
F = fixed costs
V = variable costs per unit
TC = total costs = F + Vx
TR = TC or Px = F+Vx * BEPx = FP-V BEP$ = F1-V/P Profit = TR – TC = (P – V)x – F
Break-even in units = Total fixed costPrice-Variable cost (S7-4)
Break-even in dollars = Total fixed cost1-Variable costSelling price (S7-5)
(Multifactor) BEPUniti = BEP$ ×Fraction of TRSelling Price
Multiproduct Break-even in dollars (BEP$) = F1-ViPi ×(Wi) (S7-6) where i = each product W = percent ea. product is of TR
MODULE D:
Poisson distribution: P(x) = e-λλxx! for x = 0,1,2,3,4,… (D-1) where P(x) = probability of x arrivals x = # of arrivals per unit of time λ = average arrival rate e = 2.7183 (which is the base of the natural logarithms)
Table D.2: Queuing Models Described in Module D Model | Name (technical name in parentheses) | Example | Number of Channels | Number of Phases | Arrival Rate Pattern | Service Time Pattern | Population Size | Queue Discipline | A | Single-channel system (M/M/1) | Information counter at department store | Single | Single | Poisson | Exponential | Unlimited | FIFO | B | Multichannel (M/M/S) | Airline ticket counter | Multi-channel | Single | Poisson | Exponential | Unlimited | FIFO | C | Constant Service (M/D/1) | Automated car wash |