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CHAPTER 8
AGGREGATE PLANNING
IN THE SUPPLY CHAIN
8-1
OUTLINE
 Role of aggregate planning in a supply chain
 The aggregate planning problem
 Aggregate planning strategies
 Implementing aggregate planning in practice
8-2
ROLE OF AGGREGATE PLANNING
IN A SUPPLY CHAIN
 Capacity has a cost, lead times are greater than zero
 Aggregate planning:
 process by which a company determines levels of capacity,
production, subcontracting, inventory, stockouts, and pricing
over a specified time horizon
 goal is to maximize profit
 decisions made at a product family (not SKU) level
 time frame of 3 to 18 months
 how can a firm best use the facilities it has?
8-3
ROLE OF AGGREGATE PLANNING
IN A SUPPLY CHAIN
 Specify operational parameters over the time horizon:
 production rate
 workforce
 overtime
 machine capacity level
 subcontracting
 backlog
 inventory on hand
 All supply chain stages should work together on an
aggregate plan that will optimize supply chain
performance
8-4
THE AGGREGATE PLANNING
PROBLEM
 Given the demand forecast for each period in the
planning horizon, determine the production level,
inventory level, and the capacity level for each period
that maximizes the firm’s (supply chain’s) profit over
the planning horizon
 Specify the planning horizon (typically 3-18 months)
 Specify the duration of each period
 Specify key information required to develop an
aggregate plan
8-5
INFORMATION NEEDED FOR
AN AGGREGATE PLAN
 Demand forecast in each period
 Production costs
 labor costs, regular time ($/hr) and overtime ($/hr)
 subcontracting costs ($/hr or $/unit)
 cost of changing capacity: hiring or layoff ($/worker) and cost of
adding or reducing machine capacity ($/machine)
 Labor/machine hours required per unit
 Inventory holding cost ($/unit/period)
 Stockout or backlog cost ($/unit/period)
 Constraints: limits on overtime, layoffs, capital available,
stockouts and backlogs
8-6
OUTPUTS OF AGGREGATE PLAN
 Production quantity from regular time, overtime, and
subcontracted time: used to determine number of workers
and supplier purchase levels
 Inventory held: used to determine how much warehouse
space and working capital is needed
 Backlog/stockout quantity: used to determine what
customer service levels will be
 Machine capacity increase/decrease: used to determine if
new production equipment needs to be purchased
 A poor aggregate plan can result in lost sales, lost profits,
excess inventory, or excess capacity
8-7
AGGREGATE PLANNING
STRATEGIES
 Trade-off between capacity, inventory, backlog/lost
sales
 Chase strategy – using capacity as the lever
 Time flexibility from workforce or capacity strategy
– using utilization as the lever
 Level strategy – using inventory as the lever
 Mixed strategy – a combination of one or more of
the first three strategies
8-8
CHASE STRATEGY
 Production rate is synchronized with demand by
varying machine capacity or hiring and laying off
workers as the demand rate varies
 However, in practice, it is often difficult to vary
capacity and workforce on short notice
 Expensive if cost of varying capacity is high
 Negative effect on workforce morale
 Results in low levels of inventory
 Should be used when inventory holding costs are high
and costs of changing capacity are low
8-9
TIME FLEXIBILITY STRATEGY
 Can be used if there is excess machine capacity
 Workforce is kept stable, but the number of hours
worked is varied over time to synchronize production
and demand
 Can use overtime or a flexible work schedule
 Requires flexible workforce, but avoids morale
problems of the chase strategy
 Low levels of inventory, lower utilization
 Should be used when inventory holding costs are high
and capacity is relatively inexpensive
8-10
LEVEL STRATEGY
 Maintain stable machine capacity and workforce levels
with a constant output rate
 Shortages and surpluses result in fluctuations in
inventory levels over time
 Inventories that are built up in anticipation of future
demand or backlogs are carried over from high to low
demand periods
 Better for worker morale
 Large inventories and backlogs may accumulate
 Should be used when inventory holding and backlog
costs are relatively low
8-11
AGGREGATE PLANNING AT
RED TOMATO TOOLS
Month Demand Forecast
January 1,600
February 3,000
March 3,200
April 3,800
May 2,200
June 2,200
8-12
FUNDAMENTAL TRADEOFFS IN
AGGREGATE PLANNING
 Capacity (regular time, overtime, subcontract)
 Inventory
 Backlog / lost sales
Basic Strategies
 Chase strategy
 Time flexibility from workforce or capacity
 Level strategy
8-13
AGGREGATE PLANNING
Item Cost
Materials $10/unit
Inventory holding cost $2/unit/month
Marginal cost of a stockout $5/unit/month
Hiring and training costs $300/worker
Layoff cost $500/worker
Labor hours required 4/unit
Regular time cost $4/hour
Over time cost $6/hour
Cost of subcontracting $30/unit
8-14
AGGREGATE PLANNING
(DEFINE DECISION VARIABLES)
Wt = Workforce size for month t, t = 1, ..., 6
Ht = Number of employees hired at the beginning of month t,
t = 1, ..., 6
Lt = Number of employees laid off at the beginning of month
t,
t = 1, ..., 6
Pt = Production in month t, t = 1, ..., 6
It = Inventory at the end of month t, t = 1, ..., 6
St = Number of units stocked out at the end of month t,
t = 1, ..., 6
Ct = Number of units subcontracted for month t, t = 1, ..., 6
Ot = Number of overtime hours worked in month t, t = 1, ..., 6
8-15
AGGREGATE PLANNING
(DEFINE OBJECTIVE FUNCTION)
∑+∑+∑+
∑+∑+∑+
∑+∑
===
===
==
6
1
6
1
6
1
6
1
6
1
6
1
6
1
6
1
30105
26500
300640
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
t
CPS
IOL
HWMin
8-16
AGGREGATE PLANNING (DEFINE
CONSTRAINTS LINKING
VARIABLES)
 Workforce size for each month is based on hiring
and layoffs
8-17
.80,6,...,1
0
,
0
1
1
==
=+−−
−+=
−
−
Wwheretfor
LHWW
orLHWW
tttt
tttt
AGGREGATE PLANNING
(CONSTRAINTS)
 Production for each month cannot exceed capacity
8-18
.6,...,1
,0440
,440
=
≥−+
+≤
tfor
POW
OWP
ttt
ttt
AGGREGATE PLANNING
(CONSTRAINTS)
 Inventory balance for each month
8-19
.500,0
,000,1,6,...,1
,0
,
60
0
11
11
≥=
==
=+−−−++
−++=++
−−
−−
IandS
Iwheretfor
SISDCPI
SISDCPI
ttttttt
ttttttt
AGGREGATE PLANNING
(CONSTRAINTS)
 Over time for each month
8-20
.6,...,1
,010
,10
=
≥−
≤
tfor
OW
WO
tt
tt
SCENARIOS
 Increase in holding cost (from $2 to $6)
 Overtime cost drops to $4.1 per hour
 Increased demand fluctuation
8-21
INCREASED DEMAND
FLUCTUATION
Month Demand Forecast
January 1,000
February 3,000
March 3,800
April 4,800
May 2,000
June 1,400
8-22
AGGREGATE PLANNING IN
PRACTICE
 Think beyond the enterprise to the entire supply chain
 Make plans flexible because forecasts are always wrong
 Rerun the aggregate plan as new information emerges
 Use aggregate planning as capacity utilization
increases
8-23
SUMMARY OF LEARNING
OBJECTIVES
 What types of decisions are best solved by aggregate
planning?
 What is the importance of aggregate planning as a
supply chain activity?
 What kinds of information are needed to produce an
aggregate plan?
 What are the basic trade-offs a manager makes to
produce an aggregate plan?
 How are aggregate planning problems formulated and
solved using Microsoft Excel?
8-24

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aggregate planning in the supply chain

  • 1. CHAPTER 8 AGGREGATE PLANNING IN THE SUPPLY CHAIN 8-1
  • 2. OUTLINE  Role of aggregate planning in a supply chain  The aggregate planning problem  Aggregate planning strategies  Implementing aggregate planning in practice 8-2
  • 3. ROLE OF AGGREGATE PLANNING IN A SUPPLY CHAIN  Capacity has a cost, lead times are greater than zero  Aggregate planning:  process by which a company determines levels of capacity, production, subcontracting, inventory, stockouts, and pricing over a specified time horizon  goal is to maximize profit  decisions made at a product family (not SKU) level  time frame of 3 to 18 months  how can a firm best use the facilities it has? 8-3
  • 4. ROLE OF AGGREGATE PLANNING IN A SUPPLY CHAIN  Specify operational parameters over the time horizon:  production rate  workforce  overtime  machine capacity level  subcontracting  backlog  inventory on hand  All supply chain stages should work together on an aggregate plan that will optimize supply chain performance 8-4
  • 5. THE AGGREGATE PLANNING PROBLEM  Given the demand forecast for each period in the planning horizon, determine the production level, inventory level, and the capacity level for each period that maximizes the firm’s (supply chain’s) profit over the planning horizon  Specify the planning horizon (typically 3-18 months)  Specify the duration of each period  Specify key information required to develop an aggregate plan 8-5
  • 6. INFORMATION NEEDED FOR AN AGGREGATE PLAN  Demand forecast in each period  Production costs  labor costs, regular time ($/hr) and overtime ($/hr)  subcontracting costs ($/hr or $/unit)  cost of changing capacity: hiring or layoff ($/worker) and cost of adding or reducing machine capacity ($/machine)  Labor/machine hours required per unit  Inventory holding cost ($/unit/period)  Stockout or backlog cost ($/unit/period)  Constraints: limits on overtime, layoffs, capital available, stockouts and backlogs 8-6
  • 7. OUTPUTS OF AGGREGATE PLAN  Production quantity from regular time, overtime, and subcontracted time: used to determine number of workers and supplier purchase levels  Inventory held: used to determine how much warehouse space and working capital is needed  Backlog/stockout quantity: used to determine what customer service levels will be  Machine capacity increase/decrease: used to determine if new production equipment needs to be purchased  A poor aggregate plan can result in lost sales, lost profits, excess inventory, or excess capacity 8-7
  • 8. AGGREGATE PLANNING STRATEGIES  Trade-off between capacity, inventory, backlog/lost sales  Chase strategy – using capacity as the lever  Time flexibility from workforce or capacity strategy – using utilization as the lever  Level strategy – using inventory as the lever  Mixed strategy – a combination of one or more of the first three strategies 8-8
  • 9. CHASE STRATEGY  Production rate is synchronized with demand by varying machine capacity or hiring and laying off workers as the demand rate varies  However, in practice, it is often difficult to vary capacity and workforce on short notice  Expensive if cost of varying capacity is high  Negative effect on workforce morale  Results in low levels of inventory  Should be used when inventory holding costs are high and costs of changing capacity are low 8-9
  • 10. TIME FLEXIBILITY STRATEGY  Can be used if there is excess machine capacity  Workforce is kept stable, but the number of hours worked is varied over time to synchronize production and demand  Can use overtime or a flexible work schedule  Requires flexible workforce, but avoids morale problems of the chase strategy  Low levels of inventory, lower utilization  Should be used when inventory holding costs are high and capacity is relatively inexpensive 8-10
  • 11. LEVEL STRATEGY  Maintain stable machine capacity and workforce levels with a constant output rate  Shortages and surpluses result in fluctuations in inventory levels over time  Inventories that are built up in anticipation of future demand or backlogs are carried over from high to low demand periods  Better for worker morale  Large inventories and backlogs may accumulate  Should be used when inventory holding and backlog costs are relatively low 8-11
  • 12. AGGREGATE PLANNING AT RED TOMATO TOOLS Month Demand Forecast January 1,600 February 3,000 March 3,200 April 3,800 May 2,200 June 2,200 8-12
  • 13. FUNDAMENTAL TRADEOFFS IN AGGREGATE PLANNING  Capacity (regular time, overtime, subcontract)  Inventory  Backlog / lost sales Basic Strategies  Chase strategy  Time flexibility from workforce or capacity  Level strategy 8-13
  • 14. AGGREGATE PLANNING Item Cost Materials $10/unit Inventory holding cost $2/unit/month Marginal cost of a stockout $5/unit/month Hiring and training costs $300/worker Layoff cost $500/worker Labor hours required 4/unit Regular time cost $4/hour Over time cost $6/hour Cost of subcontracting $30/unit 8-14
  • 15. AGGREGATE PLANNING (DEFINE DECISION VARIABLES) Wt = Workforce size for month t, t = 1, ..., 6 Ht = Number of employees hired at the beginning of month t, t = 1, ..., 6 Lt = Number of employees laid off at the beginning of month t, t = 1, ..., 6 Pt = Production in month t, t = 1, ..., 6 It = Inventory at the end of month t, t = 1, ..., 6 St = Number of units stocked out at the end of month t, t = 1, ..., 6 Ct = Number of units subcontracted for month t, t = 1, ..., 6 Ot = Number of overtime hours worked in month t, t = 1, ..., 6 8-15
  • 16. AGGREGATE PLANNING (DEFINE OBJECTIVE FUNCTION) ∑+∑+∑+ ∑+∑+∑+ ∑+∑ === === == 6 1 6 1 6 1 6 1 6 1 6 1 6 1 6 1 30105 26500 300640 t t t t t t t t t t t t t t t t CPS IOL HWMin 8-16
  • 17. AGGREGATE PLANNING (DEFINE CONSTRAINTS LINKING VARIABLES)  Workforce size for each month is based on hiring and layoffs 8-17 .80,6,...,1 0 , 0 1 1 == =+−− −+= − − Wwheretfor LHWW orLHWW tttt tttt
  • 18. AGGREGATE PLANNING (CONSTRAINTS)  Production for each month cannot exceed capacity 8-18 .6,...,1 ,0440 ,440 = ≥−+ +≤ tfor POW OWP ttt ttt
  • 19. AGGREGATE PLANNING (CONSTRAINTS)  Inventory balance for each month 8-19 .500,0 ,000,1,6,...,1 ,0 , 60 0 11 11 ≥= == =+−−−++ −++=++ −− −− IandS Iwheretfor SISDCPI SISDCPI ttttttt ttttttt
  • 20. AGGREGATE PLANNING (CONSTRAINTS)  Over time for each month 8-20 .6,...,1 ,010 ,10 = ≥− ≤ tfor OW WO tt tt
  • 21. SCENARIOS  Increase in holding cost (from $2 to $6)  Overtime cost drops to $4.1 per hour  Increased demand fluctuation 8-21
  • 22. INCREASED DEMAND FLUCTUATION Month Demand Forecast January 1,000 February 3,000 March 3,800 April 4,800 May 2,000 June 1,400 8-22
  • 23. AGGREGATE PLANNING IN PRACTICE  Think beyond the enterprise to the entire supply chain  Make plans flexible because forecasts are always wrong  Rerun the aggregate plan as new information emerges  Use aggregate planning as capacity utilization increases 8-23
  • 24. SUMMARY OF LEARNING OBJECTIVES  What types of decisions are best solved by aggregate planning?  What is the importance of aggregate planning as a supply chain activity?  What kinds of information are needed to produce an aggregate plan?  What are the basic trade-offs a manager makes to produce an aggregate plan?  How are aggregate planning problems formulated and solved using Microsoft Excel? 8-24

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