aggregate planning objective is to minimize cost over the planning period by adjusting production...
TRANSCRIPT
Aggregate PlanningAggregate Planning
Objective is to minimize cost over the Objective is to minimize cost over the planning period by adjustingplanning period by adjusting Production ratesProduction rates
Labor levelsLabor levels
Inventory levelsInventory levels
Overtime workOvertime work
SubcontractingSubcontracting
Other controllable variablesOther controllable variables
Determine the quantity and timing of Determine the quantity and timing of production for the immediate futureproduction for the immediate future
Aggregate PlanningAggregate Planning
A logical overall unit for measuring A logical overall unit for measuring sales and outputsales and output
A forecast of demand for intermediate A forecast of demand for intermediate planning period in these aggregate unitsplanning period in these aggregate units
A method for determining costsA method for determining costs
A model that combines forecasts and A model that combines forecasts and costs so that scheduling decisions can costs so that scheduling decisions can be made for the planning periodbe made for the planning period
Required for aggregate planningRequired for aggregate planning
Master production
schedule and MRP
systems
Detailed work
schedules
Process planning and
capacity decisions
Aggregateplan for
production
Aggregate PlanningAggregate Planning
Figure 13.2Figure 13.2
Product decisions
Demand forecasts,
orders
Marketplace and
demand
Researchand
technology
Raw materials available
Externalcapacity
(subcontractors)
Workforce
Inventoryon
hand
Aggregate PlanningAggregate Planning
Combines appropriate resources Combines appropriate resources into general termsinto general terms
Part of a larger production planning Part of a larger production planning systemsystem
Disaggregation breaks the plan Disaggregation breaks the plan down into greater detaildown into greater detail
Disaggregation results in a master Disaggregation results in a master production scheduleproduction schedule
Aggregate Planning StrategiesAggregate Planning Strategies
1.1. Use inventories to absorb changes in Use inventories to absorb changes in demanddemand
2.2. Accommodate changes by varying Accommodate changes by varying workforce sizeworkforce size
3.3. Use part-timers, overtime, or idle time to Use part-timers, overtime, or idle time to absorb changesabsorb changes
4.4. Use subcontractors and maintain a stable Use subcontractors and maintain a stable workforceworkforce
5.5. Change prices or other factors to Change prices or other factors to influence demandinfluence demand
Capacity OptionsCapacity Options
Changing inventory levelsChanging inventory levels Increase inventory in low demand Increase inventory in low demand
periods to meet high demand in periods to meet high demand in the futurethe future
Increases costs associated with Increases costs associated with storage, insurance, handling, storage, insurance, handling, obsolescence, and capital obsolescence, and capital investmentinvestment
Shortages can mean lost sales due Shortages can mean lost sales due to long lead times and poor to long lead times and poor customer servicecustomer service
Capacity OptionsCapacity Options
Varying workforce size by hiring Varying workforce size by hiring or layoffsor layoffs Match production rate to demandMatch production rate to demand
Training and separation costs for Training and separation costs for hiring and laying off workers hiring and laying off workers
New workers may have lower New workers may have lower productivityproductivity
Laying off workers may lower Laying off workers may lower morale and productivitymorale and productivity
Capacity OptionsCapacity Options
Varying production rate through Varying production rate through overtime or idle timeovertime or idle time Allows constant workforceAllows constant workforce
May be difficult to meet large May be difficult to meet large increases in demandincreases in demand
Overtime can be costly and may Overtime can be costly and may drive down productivitydrive down productivity
Absorbing idle time may be Absorbing idle time may be difficultdifficult
Capacity OptionsCapacity Options
SubcontractingSubcontracting Temporary measure during Temporary measure during
periods of peak demandperiods of peak demand
May be costlyMay be costly
Assuring quality and timely Assuring quality and timely delivery may be difficultdelivery may be difficult
Exposes your customers to a Exposes your customers to a possible competitorpossible competitor
Capacity OptionsCapacity Options
Using part-time workersUsing part-time workers Useful for filling unskilled or low Useful for filling unskilled or low
skilled positions, especially in skilled positions, especially in servicesservices
Demand OptionsDemand Options
Influencing demandInfluencing demand Use advertising or promotion to Use advertising or promotion to
increase demand in low periodsincrease demand in low periods
Attempt to shift demand to slow Attempt to shift demand to slow periodsperiods
May not be sufficient to balance May not be sufficient to balance demand and capacitydemand and capacity
Demand OptionsDemand Options
Back ordering during high- Back ordering during high- demand periodsdemand periods Requires customers to wait for an Requires customers to wait for an
order without loss of goodwill or order without loss of goodwill or the orderthe order
Most effective when there are few Most effective when there are few if any substitutes for the product if any substitutes for the product or serviceor service
Often results in lost salesOften results in lost sales
Demand OptionsDemand Options
Counterseasonal product and Counterseasonal product and service mixingservice mixing Develop a product mix of Develop a product mix of
counterseasonal itemscounterseasonal items
May lead to products or services May lead to products or services outside the company’s areas of outside the company’s areas of expertiseexpertise
Aggregate Planning OptionsAggregate Planning Options
OptionOption AdvantagesAdvantages DisadvantagesDisadvantages Some Some CommentsComments
Changing Changing inventory inventory levelslevels
Changes in Changes in human human resources are resources are gradual or gradual or none; no none; no abrupt abrupt production production changeschanges
Inventory Inventory holding cost holding cost may increase. may increase. Shortages may Shortages may result in lost result in lost sales.sales.
Applies mainly Applies mainly to production, to production, not service, not service, operationsoperations
Varying Varying workforce workforce size by size by hiring or hiring or layoffslayoffs
Avoids the Avoids the costs of other costs of other alternativesalternatives
Hiring, layoff, Hiring, layoff, and training and training costs may be costs may be significantsignificant
Used where size Used where size of labor pool is of labor pool is largelarge
Aggregate Planning OptionsAggregate Planning Options
OptionOption AdvantagesAdvantages DisadvantagesDisadvantages Some Some CommentsComments
Varying Varying production production rates rates through through overtime overtime or idle or idle timetime
Matches Matches seasonal seasonal fluctuations fluctuations without hiring/ without hiring/ training coststraining costs
Overtime Overtime premiums; premiums; tired workers; tired workers; may not meet may not meet demanddemand
Allows flexibility Allows flexibility within the within the aggregate planaggregate plan
Sub-Sub-contractingcontracting
Permits Permits flexibility and flexibility and smoothing of smoothing of the firm’s the firm’s outputoutput
Loss of quality Loss of quality control; control; reduced reduced profits; loss of profits; loss of future businessfuture business
Applies mainly Applies mainly in production in production settingssettings
Aggregate Planning OptionsAggregate Planning Options
OptionOption AdvantagesAdvantages DisadvantagesDisadvantages Some Some CommentsComments
Using part-Using part-time time workersworkers
Is less costly Is less costly and more and more flexible than flexible than full-time full-time workersworkers
High turnover/ High turnover/ training costs; training costs; quality suffers; quality suffers; scheduling scheduling difficultdifficult
Good for Good for unskilled jobs unskilled jobs in areas with in areas with large large temporary temporary labor poolslabor pools
Influencing Influencing demanddemand
Tries to use Tries to use excess excess capacity. capacity. Discounts Discounts draw new draw new customers.customers.
Uncertainty in Uncertainty in demand. Hard demand. Hard to match to match demand to demand to supply exactly.supply exactly.
Creates Creates marketing marketing ideas. ideas. Overbooking Overbooking used in some used in some businesses.businesses.
Aggregate Planning OptionsAggregate Planning Options
OptionOption AdvantagesAdvantages DisadvantagesDisadvantages Some Some CommentsComments
Back Back ordering ordering during during high-high-demand demand periodsperiods
May avoid May avoid overtime. overtime. Keeps capacity Keeps capacity constant.constant.
Customer must Customer must be willing to be willing to wait, but wait, but goodwill is lost.goodwill is lost.
Allows flexibility Allows flexibility within the within the aggregate planaggregate plan
Counter-Counter-seasonal seasonal product product and and service service mixingmixing
Fully utilizes Fully utilizes resources; resources; allows stable allows stable workforceworkforce
May require May require skills or skills or equipment equipment outside the outside the firm’s areas of firm’s areas of expertiseexpertise
Risky finding Risky finding products or products or services with services with opposite opposite demand demand patternspatterns
Quantitative Techniques For Quantitative Techniques For APPAPP
Pure StrategiesPure Strategies Mixed StrategiesMixed Strategies Linear ProgrammingLinear Programming Transportation Transportation
MethodMethod Other Quantitative Other Quantitative
TechniquesTechniques
Pure StrategiesPure Strategies
Hiring costHiring cost = $100 per worker= $100 per worker
Firing costFiring cost = $500 per worker= $500 per worker
Regular production cost per pound = $2.00Regular production cost per pound = $2.00
Inventory carrying costInventory carrying cost = $0.50 pound per quarter= $0.50 pound per quarter
Production per employeeProduction per employee = 1,000 pounds per quarter= 1,000 pounds per quarter
Beginning work forceBeginning work force = 100 workers= 100 workers
QUARTERQUARTER SALES FORECAST (LB)SALES FORECAST (LB)
SpringSpring 80,00080,000SummerSummer 50,00050,000FallFall 120,000120,000WinterWinter 150,000150,000
Example:Example:
Level Production StrategyLevel Production Strategy
Level production
= 100,000 pounds(50,000 + 120,000 + 150,000 + 80,000)
4
SpringSpring 80,00080,000 100,000100,000 20,00020,000SummerSummer 50,00050,000 100,000100,000 70,00070,000FallFall 120,000120,000 100,000100,000 50,00050,000WinterWinter 150,000150,000 100,000100,000 00
400,000400,000 140,000140,000Cost of Level Production Strategy
(400,000 X $2.00) + (140,00 X $.50) = $870,000
SALESSALES PRODUCTIONPRODUCTIONQUARTERQUARTER FORECASTFORECAST PLANPLAN INVENTORYINVENTORY
Chase Demand StrategyChase Demand Strategy
SpringSpring 80,00080,000 80,00080,000 8080 00 2020SummerSummer 50,00050,000 50,00050,000 5050 00 3030FallFall 120,000120,000 120,000120,000 120120 7070 00WinterWinter 150,000150,000 150,000150,000 150150 3030 00
100100 5050
SALESSALES PRODUCTIONPRODUCTION WORKERSWORKERS WORKERSWORKERS WORKERSWORKERSQUARTERQUARTER FORECASTFORECAST PLANPLAN NEEDEDNEEDED HIREDHIRED FIREDFIRED
Cost of Chase Demand StrategyCost of Chase Demand Strategy
(400,000 X $2.00) + (100 x $100) + (50 x $500) = $835,000 (400,000 X $2.00) + (100 x $100) + (50 x $500) = $835,000
Mixed StrategyMixed Strategy
Combination of Level Production and Combination of Level Production and Chase Demand strategiesChase Demand strategies
Examples of management policiesExamples of management policies no more than x% of the workforce can be laid
off in one quarter inventory levels cannot exceed x dollars
Many industries may simply shut down Many industries may simply shut down manufacturing during the low demand manufacturing during the low demand season and schedule employee vacations season and schedule employee vacations during that timeduring that time
Mixing Options to Develop a PlanMixing Options to Develop a Plan
Chase strategyChase strategy Match output rates to demand forecast Match output rates to demand forecast
for each periodfor each period
Vary workforce levels or vary Vary workforce levels or vary production rateproduction rate
Favored by many service Favored by many service organizationsorganizations
Level strategyLevel strategy Daily production is uniformDaily production is uniform
Use inventory or idle time as bufferUse inventory or idle time as buffer
Stable production leads to better Stable production leads to better quality and productivityquality and productivity
Some combination of capacity Some combination of capacity options, a mixed strategy, might be options, a mixed strategy, might be the best solutionthe best solution
Mixing Options to Develop a PlanMixing Options to Develop a Plan
Graphical and Charting MethodsGraphical and Charting Methods
Popular techniquesPopular techniques
Easy to understand and useEasy to understand and use
Trial-and-error approaches that do Trial-and-error approaches that do not guarantee an optimal solutionnot guarantee an optimal solution
Require only limited computationsRequire only limited computations
1.1. Determine the demand for each periodDetermine the demand for each period
2.2. Determine the capacity for regular time, Determine the capacity for regular time, overtime, and subcontracting each periodovertime, and subcontracting each period
3.3. Find labor costs, hiring and layoff costs, Find labor costs, hiring and layoff costs, and inventory holding costsand inventory holding costs
4.4. Consider company policy on workers and Consider company policy on workers and stock levelsstock levels
5.5. Develop alternative plans and examine Develop alternative plans and examine their total coststheir total costs
Graphical and Charting MethodsGraphical and Charting Methods
Planning - Example 1Planning - Example 1
MonthMonth Expected DemandExpected DemandProduction Production
DaysDaysDemand Per Day Demand Per Day
(computed)(computed)
JanJan 900900 2222 4141
FebFeb 700700 1818 3939
MarMar 800800 2121 3838
AprApr 1,2001,200 2121 5757
MayMay 1,5001,500 2222 6868
JuneJune 1,1001,100 2020 5555
6,2006,200 124124
= = 50= = 50 units per day units per day6,2006,200
124124
Average Average requirementrequirement ==
Total expected demandTotal expected demand
Number of production daysNumber of production days
70 70 –
60 60 –
50 50 –
40 40 –
30 30 –
0 0 –JanJan FebFeb MarMar AprApr MayMay JuneJune == MonthMonth
2222 1818 2121 2121 2222 2020 == Number ofNumber ofworking daysworking days
Pro
du
ctio
n r
ate
per
wo
rkin
g d
ayP
rod
uct
ion
rat
e p
er w
ork
ing
day
Level production using average Level production using average monthly forecast demandmonthly forecast demand
Forecast demandForecast demand
Planning - Example 1Planning - Example 1
Cost InformationCost Information
Inventory carrying costInventory carrying cost $ 5$ 5 per unit per month per unit per month
Subcontracting cost per unitSubcontracting cost per unit $10$10 per unit per unit
Average pay rateAverage pay rate $ 5$ 5 per hour per hour ($40($40 per per dayday))
Overtime pay rateOvertime pay rate$ 7$ 7 per hour per hour
((above above 88 hours per hours per dayday))
Labor-hours to produce a unitLabor-hours to produce a unit 1.61.6 hours per unit hours per unit
Cost of increasing daily production rate Cost of increasing daily production rate (hiring and training)(hiring and training)
$300$300 per unit per unit
Cost of decreasing daily production Cost of decreasing daily production rate (layoffs)rate (layoffs)
$600$600 per unit per unit
Planning - Example 1Planning - Example 1
Table 13.3Table 13.3
Month
Production at 50 Units per
DayDemand Forecast
Monthly Inventory Change
Ending Inventory
Jan 1,100 900 +200 200
Feb 900 700 +200 400
Mar 1,050 800 +250 650
Apr 1,050 1,200 -150 500
May 1,100 1,500 -400 100
June 1,000 1,100 -100 0
1,850
Total units of inventory carried over from onemonth to the next = 1,850 units
Workforce required to produce 50 units per day = 10 workers
Planning - Example 1Planning - Example 1
Table 13.3Table 13.3Total units of inventory carried over from onemonth to the next = 1,850 units
Workforce required to produce 50 units per day = 10 workers
Costs Calculations
Inventory carrying $9,250 (= 1,850 units carried x $5 per unit)
Regular-time labor 49,600 (= 10 workers x $40 per day x 124 days)
Other costs (overtime, hiring, layoffs, subcontracting) 0
Total cost $58,850
Planning - Example 1Planning - Example 1
Cu
mu
lati
ve d
eman
d u
nit
sC
um
ula
tive
dem
and
un
its
7,000 7,000 –
6,000 6,000 –
5,000 5,000 –
4,000 4,000 –
3,000 3,000 –
2,000 –
1,000 –
–JanJan FebFeb MarMar AprApr MayMay JuneJune
Cumulative forecast Cumulative forecast requirementsrequirements
Cumulative level Cumulative level production using production using average monthly average monthly
forecast forecast requirementsrequirements
Reduction Reduction of inventoryof inventory
Excess inventoryExcess inventory
Planning - Example 1Planning - Example 1
MonthMonth Expected DemandExpected DemandProduction Production
DaysDaysDemand Per Day Demand Per Day
(computed)(computed)
JanJan 900900 2222 4141
FebFeb 700700 1818 3939
MarMar 800800 2121 3838
AprApr 1,2001,200 2121 5757
MayMay 1,5001,500 2222 6868
JuneJune 1,1001,100 2020 5555
6,2006,200 124124
Minimum requirementMinimum requirement = 38 = 38 units per day units per day
Planning - Example 2Planning - Example 2
70 70 –
60 60 –
50 50 –
40 40 –
30 30 –
0 0 –JanJan FebFeb MarMar AprApr MayMay JuneJune == MonthMonth
2222 1818 2121 2121 2222 2020 == Number ofNumber ofworking daysworking days
Pro
du
ctio
n r
ate
per
wo
rkin
g d
ayP
rod
uct
ion
rat
e p
er w
ork
ing
day
Level production Level production using lowest using lowest
monthly forecast monthly forecast demanddemand
Forecast demandForecast demand
Planning - Example 2Planning - Example 2
Cost InformationCost Information
Inventory carrying costInventory carrying cost $ 5$ 5 per unit per month per unit per month
Subcontracting cost per unitSubcontracting cost per unit $10$10 per unit per unit
Average pay rateAverage pay rate $ 5$ 5 per hour per hour ($40($40 per per dayday))
Overtime pay rateOvertime pay rate$ 7$ 7 per hour per hour
((above above 88 hours per hours per dayday))
Labor-hours to produce a unitLabor-hours to produce a unit 1.61.6 hours per unit hours per unit
Cost of increasing daily production rate Cost of increasing daily production rate (hiring and training)(hiring and training)
$300$300 per unit per unit
Cost of decreasing daily production Cost of decreasing daily production rate (layoffs)rate (layoffs)
$600$600 per unit per unit
Planning - Example 2Planning - Example 2
In-house production = 38 units per day x 124 days
= 4,712 units
Subcontract units = 6,200 - 4,712= 1,488 units
Planning - Example 2Planning - Example 2
Table 13.3Table 13.3
Cost InformationCost Information
Inventory carry costInventory carry cost $ 5$ 5 per unit per month per unit per month
Subcontracting cost per unitSubcontracting cost per unit $10$10 per unit per unit
Average pay rateAverage pay rate $ 5$ 5 per hour per hour ($40($40 per per dayday))
Overtime pay rateOvertime pay rate$ 7$ 7 per hour per hour
((above above 88 hours per hours per dayday))
Labor-hours to produce a unitLabor-hours to produce a unit 1.61.6 hours per unit hours per unit
Cost of increasing daily production rate Cost of increasing daily production rate (hiring and training)(hiring and training)
$300$300 per unit per unit
Cost of decreasing daily production Cost of decreasing daily production rate (layoffs)rate (layoffs)
$600$600 per unit per unit
In-house production = 38 units per day x 124 days
= 4,712 units
Subcontract units = 6,200 - 4,712= 1,488 units
Costs Calculations
Regular-time labor $37,696 (= 7.6 workers x $40 per day x 124 days)
Subcontracting 14,880 (= 1,488 units x $10 per unit)
Total cost $52,576
Planning - Example 2Planning - Example 2
MonthMonth Expected DemandExpected DemandProduction Production
DaysDaysDemand Per Day Demand Per Day
(computed)(computed)
JanJan 900900 2222 4141
FebFeb 700700 1818 3939
MarMar 800800 2121 3838
AprApr 1,2001,200 2121 5757
MayMay 1,5001,500 2222 6868
JuneJune 1,1001,100 2020 5555
6,2006,200 124124
Production = Expected DemandProduction = Expected Demand
Planning - Example 3Planning - Example 3
70 70 –
60 60 –
50 50 –
40 40 –
30 30 –
0 0 –JanJan FebFeb MarMar AprApr MayMay JuneJune == MonthMonth
2222 1818 2121 2121 2222 2020 == Number ofNumber ofworking daysworking days
Pro
du
ctio
n r
ate
per
wo
rkin
g d
ayP
rod
uct
ion
rat
e p
er w
ork
ing
day Forecast demand and Forecast demand and
monthly productionmonthly production
Planning - Example 3Planning - Example 3
Cost InformationCost Information
Inventory carrying costInventory carrying cost $ 5$ 5 per unit per month per unit per month
Subcontracting cost per unitSubcontracting cost per unit $10$10 per unit per unit
Average pay rateAverage pay rate $ 5$ 5 per hour per hour ($40($40 per per dayday))
Overtime pay rateOvertime pay rate$ 7$ 7 per hour per hour
((above above 88 hours per hours per dayday))
Labor-hours to produce a unitLabor-hours to produce a unit 1.61.6 hours per unit hours per unit
Cost of increasing daily production rate Cost of increasing daily production rate (hiring and training)(hiring and training)
$300$300 per unit per unit
Cost of decreasing daily production Cost of decreasing daily production rate (layoffs)rate (layoffs)
$600$600 per unit per unit
Planning - Example 3Planning - Example 3
Table 13.3Table 13.3
Cost InformationCost Information
Inventory carrying costInventory carrying cost $ 5$ 5 per unit per month per unit per month
Subcontracting cost per unitSubcontracting cost per unit $10$10 per unit per unit
Average pay rateAverage pay rate $ 5$ 5 per hour per hour ($40($40 per per dayday))
Overtime pay rateOvertime pay rate$ 7$ 7 per hour per hour
((above above 88 hours per hours per dayday))
Labor-hours to produce a unitLabor-hours to produce a unit 1.61.6 hours per unit hours per unit
Cost of increasing daily production rate Cost of increasing daily production rate (hiring and training)(hiring and training)
$300$300 per unit per unit
Cost of decreasing daily production Cost of decreasing daily production rate (layoffs)rate (layoffs)
$600$600 per unit per unit
MonthForecast (units)
Daily Prod Rate
Basic Production
Cost (demand x 1.6 hrs/unit
x $5/hr)
Extra Cost of Increasing Production
(hiring cost)
Extra Cost of Decreasing Production (layoff cost)
Total Cost
Jan 900 41 $ 7,200 — — $ 7,200
Feb 700 39 5,600 —$1,200
(= 2 x $600)6,800
Mar 800 38 6,400 —$600
(= 1 x $600)7,000
Apr 1,200 57 9,600$5,700
(= 19 x $300)— 15,300
May 1,500 68 12,000$3,300
(= 11 x $300)— 15,300
June 1,100 55 8,800 —$7,800
(= 13 x $600)16,600
$49,600 $9,000 $9,600 $68,200
Planning - Example 3Planning - Example 3
Comparison of Three PlansComparison of Three Plans
CostCost Plan 1Plan 1 Plan 2Plan 2 Plan 3Plan 3
Inventory carryingInventory carrying $ 9,250$ 9,250 $ 0$ 0 $ 0$ 0
Regular laborRegular labor 49,60049,600 37,69637,696 49,60049,600
Overtime laborOvertime labor 00 00 00
HiringHiring 00 00 9,0009,000
LayoffsLayoffs 00 00 9,6009,600
SubcontractingSubcontracting 00 00 00
Total costTotal cost $58,850$58,850 $52,576$52,576 $68,200$68,200
Plan 2 is the lowest cost optionPlan 2 is the lowest cost option
Mathematical ApproachesMathematical Approaches
Useful for generating strategiesUseful for generating strategies Transportation Method of Linear Transportation Method of Linear
ProgrammingProgramming Produces an optimal planProduces an optimal plan
Management Coefficients ModelManagement Coefficients Model Model built around manager’s Model built around manager’s
experience and performanceexperience and performance
Other ModelsOther Models Linear Decision RuleLinear Decision Rule
SimulationSimulation
General Linear Programming (LP) Model
LP gives an optimal solution, but demand and costs must be linear
Let Wt = workforce size for period t Pt =units produced in period t It =units in inventory at the end of
period t Ft =number of workers fired for period t Ht = number of workers hired for period
t
LP MODELMinimize Z = $100 (H1 + H2 + H3 + H4)
+ $500 (F1 + F2 + F3 + F4)
+ $0.50 (I1 + I2 + I3 + I4)
Subject to
P1 - I1 = 80,000 (1)
Demand I1 + P2 - I2 = 50,000 (2)
constraints I2 + P3 - I3 = 120,000 (3)
I3 + P4 - I4 = 150,000 (4)
Production 1000 W1 = P1 (5)
constraints 1000 W2 = P2 (6)
1000 W3 = P3 (7)
1000 W4 = P4 (8)
100 + H1 - F1 = W1 (9)
Work force W1 + H2 - F2 = W2 (10)
constraints W2 + H3 - F3 = W3 (11)
W3 + H4 - F4 = W4 (12)
Transportation Method- Example Transportation Method- Example 11
11 900900 10001000 100100 50050022 15001500 12001200 150150 50050033 16001600 13001300 200200 50050044 30003000 13001300 200200 500500
Regular production cost per unitRegular production cost per unit $20$20Overtime production cost per unitOvertime production cost per unit $25$25Subcontracting cost per unitSubcontracting cost per unit $28$28Inventory holding cost per unit per periodInventory holding cost per unit per period $3$3Beginning inventoryBeginning inventory 300 units300 units
EXPECTEDEXPECTED REGULARREGULAR OVERTIMEOVERTIME SUBCONTRACTSUBCONTRACTQUARTERQUARTER DEMANDDEMAND CAPACITYCAPACITY CAPACITYCAPACITY CAPACITYCAPACITY
Transportation TableauTransportation Tableau
UnusedPERIOD OF PRODUCTION 1 2 3 4 Capacity Capacity
Beginning 0 3 6 9
Inventory 300 — — — 300
Regular 600 300 100 — 1000
Overtime 100 100
Subcontract 500
Regular 1200 — — 1200
Overtime 150 150
Subcontract 250 250 500
Regular 1300 — 1300
Overtime 200 — 200
Subcontract 500 500
Regular 1300 1300
Overtime 200 200
Subcontract 500 500
Demand 900 1500 1600 3000 250
1
2
3
4
PERIOD OF USE
20 23 26 29
25 28 31 34
28 31 34 37
20 23 26
25 28 31
28 31 34
20 23
25 28
28 31
20
25
28
11 900900 10001000 100100 00 50050022 15001500 12001200 150150 250250 60060033 16001600 13001300 200200 500500 1000100044 30003000 13001300 200200 500500 00
TotalTotal 70007000 48004800 650650 12501250 21002100
REGULARREGULAR SUB-SUB- ENDINGENDINGPERIODPERIOD DEMANDDEMAND PRODUCTIONPRODUCTION OVERTIMEOVERTIME CONTRACTCONTRACT INVENTORYINVENTORY
Transportation Method- Example Transportation Method- Example 11
Sales PeriodSales PeriodMarMar AprApr MayMay
DemandDemand 800800 1,0001,000 750750Capacity:Capacity: RegularRegular 700700 700700 700700 OvertimeOvertime 5050 5050 5050 SubcontractingSubcontracting 150150 150150 130130Beginning inventoryBeginning inventory 100100 tires tires
CostsCostsRegular timeRegular time $40$40 per tireper tireOvertimeOvertime $50$50 per tireper tireSubcontractingSubcontracting $70$70 per tireper tireCarryingCarrying $ 2$ 2 per tireper tire
Transportation Method- Example Transportation Method- Example 22
Important pointsImportant points
1.1. Carrying costs are Carrying costs are $2$2/tire/month. If /tire/month. If goods are made in one period and held goods are made in one period and held over to the next, holding costs are over to the next, holding costs are incurredincurred
2.2. Supply must equal demand, so a Supply must equal demand, so a dummy column called “unused dummy column called “unused capacity” is addedcapacity” is added
3.3. Because back ordering is not viable in Because back ordering is not viable in this example, cells that might be used to this example, cells that might be used to satisfy earlier demand are not availablesatisfy earlier demand are not available
Transportation Method- Example Transportation Method- Example 22
Important pointsImportant points
4.4. Quantities in each column designate the Quantities in each column designate the levels of inventory needed to meet levels of inventory needed to meet demand requirementsdemand requirements
5.5. In general, production should be In general, production should be allocated to the lowest cost cell allocated to the lowest cost cell available without exceeding unused available without exceeding unused capacity in the row or demand in the capacity in the row or demand in the columncolumn
Transportation Method- Example 2Transportation Method- Example 2
Management Coefficients Management Coefficients ModelModel
Builds a model based on manager’s Builds a model based on manager’s experience and performanceexperience and performance
A regression model is constructed A regression model is constructed to define the relationships between to define the relationships between decision variablesdecision variables
Objective is to remove Objective is to remove inconsistencies in decision makinginconsistencies in decision making
Other Quantitative Other Quantitative TechniquesTechniques
Linear decision rule (LDR)Linear decision rule (LDR) Search decision rule (SDR)Search decision rule (SDR) Management coefficients modelManagement coefficients model
Hierarchical Nature of Planning
ItemsItems
Product lines Product lines or familiesor families
Individual Individual productsproducts
ComponentsComponents
Manufacturing Manufacturing operationsoperations
Resource Resource LevelLevel
PlantsPlants
Individual Individual machinesmachines
Critical Critical work work
centerscenters
Production Production PlanningPlanning
Capacity Capacity PlanningPlanning
Resource requirements
plan
Rough-cut capacity
plan
Capacity requirements
plan
Input/ output control
Aggregate production
plan
Master production schedule
Material requirements
plan
Shop floor
schedule
All All work work
centerscenters
Available-to-Promise (ATP)
Quantity of items that can be promised to Quantity of items that can be promised to the customerthe customer
Difference between planned production Difference between planned production and customer orders already receivedand customer orders already received
AT in period 1 = (On-hand quantity + MPS in period 1) –
- (CO until the next period of planned production)
ATP in period n = (MPS in period n) –
- (CO until the next period of planned production)
ATP: ExampleATP: Example (cont.) (cont.)
ATP in April = (10+100) – 70 = 40ATP in April = (10+100) – 70 = 40
ATP in May = 100 – 110 = -10ATP in May = 100 – 110 = -10
ATP in June = 100 – 50 = 50ATP in June = 100 – 50 = 50
= 30= 30
= 0= 0
Take excess units from April
Rule Based ATPRule Based ATPProduct Request
Is the product available at
this location?
Is an alternative product available
at an alternate location?
Is an alternative product available at this location?
Is this product available at a
different location?
Available-to-promise
Allocate inventory
Capable-to-promise date
Is the customer willing to wait for
the product?
Available-to-promise
Allocate inventory
Revise master schedule
Trigger production
Lose sale
YesYes
NoNo
YesYes
NoNo
YesYes
NoNo
YesYes
NoNo
YesYes
NoNo
Summary of Aggregate Planning Summary of Aggregate Planning MethodsMethods
TechniquesTechniquesSolution Solution
ApproachesApproaches Important AspectsImportant Aspects
Graphical/charting Graphical/charting methodsmethods
Trial and errorTrial and error Simple to understand and Simple to understand and easy to use. Many easy to use. Many solutions; one chosen may solutions; one chosen may not be optimal.not be optimal.
Transportation Transportation method of linear method of linear programmingprogramming
OptimizationOptimization LP software available; LP software available; permits sensitivity analysis permits sensitivity analysis and new constraints; linear and new constraints; linear functions may not be functions may not be realisticrealistic
Management Management coefficients coefficients modelmodel
HeuristicHeuristic Simple, easy to implement; Simple, easy to implement; tries to mimic manager’s tries to mimic manager’s decision process; uses decision process; uses regressionregression
Aggregate Planning for ServicesAggregate Planning for Services
1.1. Most services can’t be inventoriedMost services can’t be inventoried
2.2. Demand for services is difficult to predictDemand for services is difficult to predict
3.3. Capacity is also difficult to predictCapacity is also difficult to predict
4.4. Service capacity must be provided at the Service capacity must be provided at the appropriate place and timeappropriate place and time
5.5. Labor is usually the most constraining Labor is usually the most constraining resource for servicesresource for services
Controlling the cost of labor is criticalControlling the cost of labor is critical
1.1. Close scheduling of labor-hours to Close scheduling of labor-hours to assure quick response to customer assure quick response to customer demanddemand
2.2. Some form of on-call labor resourceSome form of on-call labor resource
3.3. Flexibility of individual worker skillsFlexibility of individual worker skills
4.4. Individual worker flexibility in rate of Individual worker flexibility in rate of output or hoursoutput or hours
Aggregate Planning for Aggregate Planning for ServicesServices
Law Firm ExampleLaw Firm Example
(3)(3) (4)(4) (5)(5) (6)(6)(1)(1) (2)(2) LikelyLikely WorstWorst MaximumMaximum Number ofNumber of
Category ofCategory of Best CaseBest Case CaseCase CaseCase Demand inDemand in QualifiedQualifiedLegal BusinessLegal Business (hours)(hours) (hours)(hours) (hours)(hours) PeoplePeople PersonnelPersonnel
Trial workTrial work 1,8001,800 1,5001,500 1,2001,200 3.63.6 44Legal researchLegal research 4,5004,500 4,0004,000 3,5003,500 9.09.0 3232Corporate lawCorporate law 8,0008,000 7,0007,000 6,5006,500 16.016.0 1515Real estate lawReal estate law 1,7001,700 1,5001,500 1,3001,300 3.43.4 66Criminal lawCriminal law 3,5003,500 3,0003,000 2,5002,500 7.07.0 1212
Total hoursTotal hours 19,50019,500 17,00017,000 15,00015,000Lawyers neededLawyers needed 3939 3434 3030
Yield ManagementYield Management
Allocating resources to customers at Allocating resources to customers at prices that will maximize yield or prices that will maximize yield or revenuerevenue
1.1. Service or product can be sold in advance of Service or product can be sold in advance of consumptionconsumption
2.2. Demand fluctuatesDemand fluctuates
3.3. Capacity is relatively fixedCapacity is relatively fixed
4.4. Demand can be segmentedDemand can be segmented
5.5. Variable costs are low and fixed costs are highVariable costs are low and fixed costs are high
Yield Management:Yield Management: Example-1Example-1
NO-SHOWSNO-SHOWS PROBABILITYPROBABILITY PP((NN < < XX))
00 .15.15 .00.0011 .25.25 .15.1522 .30.30 .40.4033 .30.30 .70.70
Optimal probability of no-showsOptimal probability of no-shows
P(P(nn < < xx) ) = = .517 = = .517CCuu
CCuu + + CCoo
757575 + 7075 + 70
.517.517
Hotel should be overbooked by two rooms
Demand Demand CurveCurve
Yield ManagementYield Management : Example- : Example-22
Passed-up contribution
Money left on the table
Potential customers exist who Potential customers exist who are willing to pay more than the are willing to pay more than the $15$15 variable cost of the room variable cost of the room
Some customers who paid Some customers who paid $150$150 were actually willing were actually willing to pay more for the roomto pay more for the room
$ $ marginmargin ==((PricePrice)) x x (50(50roomsrooms))==($150 - $15)($150 - $15)x x (50)(50)==$6,750$6,750
PricePrice
Room salesRoom sales
100100
5050
$150$150Price charged Price charged
for room for room
$15$15Variable costVariable cost
of roomof room
Total $ margin =Total $ margin =(1(1st pricest price) x 30 ) x 30 roomsrooms + (2 + (2ndnd price) x 30 rooms = price) x 30 rooms =
($100 - $15) x 30 + ($200 - $15) x 30 =($100 - $15) x 30 + ($200 - $15) x 30 =$2,550 + $5,550 = $8,100$2,550 + $5,550 = $8,100
Demand Demand CurveCurve
PricePrice
Room salesRoom sales
100100
6060
3030
$100$100Price 1Price 1
for roomfor room
$200$200Price 2Price 2
for roomfor room
$15$15Variable costVariable cost
of roomof room
Yield ManagementYield Management : Example- : Example-22
Yield Management MatrixYield Management Matrix
Du
rati
on
of
use
Un
pre
dic
tab
le
Pre
dic
tab
le
Price
Tend to be fixed Tend to be variable
Quadrant 1: Quadrant 2:
Movies HotelsStadiums/arenas Airlines
Convention centers Rental carsHotel meeting space Cruise lines
Quadrant 3: Quadrant 4:
Restaurants Continuing careGolf courses hospitals
Internet serviceproviders
72
Making Yield Management WorkMaking Yield Management Work
1.1. Multiple pricing structures must be Multiple pricing structures must be feasible and appear logical to the feasible and appear logical to the customercustomer
2.2. Forecasts of the use and duration of Forecasts of the use and duration of useuse
3.3. Changes in demandChanges in demand