Operations Management: Sustainability and Supply Chain Management
Third Canadian Edition
Chapter 13
Aggregate Planning and Sales and Operations Planning
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1
Outline
Global Company Profile: Frito-Lay
The Planning Process
The Nature of Aggregate Planning
Aggregate Planning Strategies
Methods for Aggregate Planning
Aggregate Planning in Services
Yield Management
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Learning Objectives (1 of 2)
When you complete this chapter you should be able to:
Define aggregate planning and sales and operations planning
Identify optional strategies for developing an aggregate plan
Prepare a graphical aggregate plan
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Learning Objectives (2 of 2)
When you complete this chapter you should be able to:
Solve an aggregate plan via the transportation method of linear programming
Understand and solve a yield management problem
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Frito-Lay (1 of 2)
More than three dozen brands, 15 brands sell more than $100 million annually, 7 sell over $1 billion
Planning processes covers 3 to 18 months
Unique processes and specially designed equipment
High fixed costs require high volumes and high utilization
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Frito-Lay (2 of 2)
Demand profile based on historical sales, forecasts, innovations, promotion, local demand data
Match total demand to capacity, expansion plans, and costs
Quarterly aggregate plan goes to 38 plants in 18 regions
Each plant develops 4-week plan for product lines and production runs
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Aggregate Planning (1 of 4)
The objective of aggregate planning is to meet forecasted demand while minimizing cost over the planning period
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Aggregate planning covers intermediate-range decisions, usually 3 to 18 months ahead.
LO 1: Define aggregate planning.
7
The Planning Process
Determine the quantity and timing of production for the intermediate future
Objective is to minimize cost over the planning period by adjusting
Production rates
Labour levels
Inventory levels
Overtime work
Subcontracting rates
Other controllable variables
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This slide provides the list of the major decisions undertaken in aggregate planning. Notice that scheduling of specific workers and products is not done in aggregate planning—such decisions represent short-term scheduling (Chapter 15) that will be based at the appropriate time on the constraints produced from the aggregate plan. The aggregate plan helps the firm prepare for any necessary hiring and layoffs of workers to come in the intermediate future. It also signals when to set up subcontracting relationships and orders.
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Aggregate Planning (2 of 4)
Required for aggregate planning
A logical overall unit for measuring sales and output
A forecast of demand for an intermediate planning period in these aggregate terms
A method for determining costs
A model that combines forecasts and costs so that scheduling decisions can be made for the planning period
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This slide identifies the four things needed for aggregate planning.
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Planning Horizons
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This slide (Figure 13.1) helps to distinguish the various planning horizons and associated tasks and personnel responsible for the decisions. Aggregate planning provides the link between long-range capacity decisions (Supplement 7) and short-range scheduling of workers and jobs (Chapter 15). Long-range capacity decisions certainly impact the flexibility of aggregate plans.
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Aggregate Planning (3 of 4)
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This slide (Figure 13.2) shows how aggregate planning fits into the larger production planning system.
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Aggregate Planning (4 of 4)
Combines appropriate resources into general terms
Part of a larger production planning system
Disaggregation breaks the plan down into greater detail
Disaggregation results in a master production schedule
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The aggregate plan is described in general terms. Disaggregation of the plan breaks it down into more detail for more specific planning such as the master production schedule, which is a timetable that specifies what is to be made and when (Chapter 14).
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Aggregate Planning Strategies
Use inventories to absorb changes in demand
Accommodate changes by varying workforce size
Use part-timers, overtime, or idle time to absorb changes
Use subcontractors and maintain a stable workforce
Change prices or other factors to influence demand
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This list presents legitimate planning strategies. The aggregate plan may suggest one or a combination of the strategies.
LO 2: Identify optional strategies for developing an aggregate plan.
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Capacity Options (1 of 5)
Changing inventory levels
Increase inventory in low demand periods to meet high demand in the future
Increases costs associated with storage, insurance, handling, obsolescence, and capital investment
Shortages may mean lost sales due to long lead times and poor customer service
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These slides describe the five capacity options, named so because they do not try to change demand but attempt to absorb demand fluctuations. Firms can change inventory levels, building up anticipatory inventory during periods of low demand. We know from Chapter 12 that inventory is expensive, so this can be a costly approach for firms experiencing very seasonal demand.
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Capacity Options (2 of 5)
Varying workforce size by hiring or layoffs
Match production rate to demand
Training and separation costs for hiring and laying off workers
New workers may have lower productivity
Laying off workers may lower morale and productivity
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Firms can vary the workforce size as demand conditions change. This strategy may work well if hiring and firing costs are not too high and significant training of new employees is not necessary. The human resource implications of this strategy need to be carefully considered.
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Capacity Options (3 of 5)
Varying production rate through overtime or idle time
Allows constant workforce
May be difficult to meet large increases in demand
Overtime can be costly and may drive down productivity
Absorbing idle time may be difficult
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Firms can vary production rates using overtime and idle time. This strategy may work well for short-term or relatively small demand changes, but it becomes expensive and potentially unmanageable for reacting to major demand shifts.
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Capacity Options (4 of 5)
Subcontracting
Temporary measure during periods of peak demand
May be costly
Assuring quality and timely delivery may be difficult
Exposes your customers to a possible competitor
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Firms can subcontract out excess demand that they cannot handle internally. The unit cost of this strategy is typically higher than the internal production cost, and the strategy carries with it the usually risks of delegating any task.
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Capacity Options (5 of 5)
Using part-time workers
Useful for filling unskilled or low skilled positions, especially in services
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Firms can use temporary or part-time workers during peak demand periods. This practice may work well, particularly in service industries. However, there have been concerns in recent years that big companies are hiring too many temporary employees and avoiding paying benefits such as health insurance in the process. Concerns like this can damage a firm’s reputation as a good corporate citizen.
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Demand Options (1 of 3)
Influencing demand
Use advertising or promotion to increase demand in low periods
Attempt to shift demand to slow periods
May not be sufficient to balance demand and capacity
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These slides cover demand options, through which firms try to smooth out changes in the demand pattern over the planning period. A smoother demand pattern implies less necessity for implementing one of the expensive capacity options. Instructors can present examples showing that sometimes a smooth demand pattern can result in higher overall profit than a varying pattern with higher total demand (i.e., the varying pattern might have more revenue but the additional costs of meeting that varying demand might outweigh the revenue gain).
This slide shows that firms can influence demand through the use of advertising and promotions in low-demand periods. Such strategies are also known as off-peak pricing, and we see them all the time in the form of matinee movie specials, cheap rates at ski resorts during the summer, etc. Some of this generated demand may be new customers enticed by the promotion, but the rest may be shifted demand (customers moving from high-demand periods to low-demand periods). Shifted demand produces a smoother demand pattern overall.
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Demand Options (2 of 3)
Back ordering during high-demand periods
Requires customers to wait for an order without loss of goodwill or the order
Most effective when there are few if any substitutes for the product or service
Often results in lost sales
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Firms sometimes intentionally plan backorders during high-demand periods. These come at a cost and assume that customers will be willing to wait to receive the product (a potentially dangerous assumption). Firms with some sort of monopoly power are often in a better position to employ this strategy.
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Demand Options (3 of 3)
Counterseasonal product and service mixing
Develop a product mix of counterseasonal items
May lead to products or services outside the company’s areas of expertise
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Firms sometimes employ the strategy of counterseasonal products and service mixing. Producing products with different high-demand seasons such as snowmobiles and jet skis can smooth out demand over the year. Another form of this technique sells seasonal products to markets in the Northern Hemisphere for part of the year and to markets in the Southern Hemisphere for the other part of the year.
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Methods for Aggregate Planning
A mixed strategy may be the best way to achieve minimum costs
There are many possible mixed strategies
Finding the optimal plan is not always possible
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A combination of the different aggregate planning options may turn out to be the best strategy. There are also two extreme strategies: chase and level.
LO 3: Prepare a graphical aggregate plan.
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Mixing Options to Develop a Plan (1 of 2)
Chase strategy
Match output rates to demand forecast for each period
Vary workforce levels or vary production rate
Favoured by many service organizations
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This slide describes the chase strategy, where demand is “chased” by production. Little or no inventory is held, and the strategy may result in a significant amount of hiring and worker layoffs.
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Mixing Options to Develop a Plan (2 of 2)
Level strategy
Daily production is uniform
Use inventory or idle time as buffer
Stable production leads to better quality and productivity
Some combination of capacity options, a mixed strategy, might be the best solution
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This slide describes the level strategy, where workforce levels and production rates remain constant over time. The changing inventory levels option applies here. Human resource difficulties are usually minimized using a level strategy, but the inventory costs may be significant.
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Graphical Methods (1 of 2)
Popular techniques
Easy to understand and use
Trial-and-error approaches that do not guarantee an optimal solution
Require only limited computations
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Graphical methods represent trial-and-error approaches to the aggregate planning problem. Slide 25 identifies the five steps involved. And, actually, Steps 1–4 are required for any of the aggregate planning solution methods.
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Graphical Methods (2 of 2)
Determine the demand for each period
Determine the capacity for regular time, overtime, and subcontracting each period
Find labour costs, hiring and layoff costs, and inventory holding costs
Consider company policy on workers and stock levels
Develop alternative plans and examine their total costs
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Graphical methods represent trial-and-error approaches to the aggregate planning problem. Slide 25 identifies the five steps involved. And, actually, Steps 1–4 are required for any of the aggregate planning solution methods.
LO 3: Prepare a graphical aggregate plan.
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Roofing Supplier Example 1 (1 of 2)
Table 13.2 Monthly Forecasts
Month Expected Demand Production Days Demand Per Day (computed)
Jan 900 22 41
Feb 700 18 39
Mar 800 21 38
Apr 1200 21 57
May 1500 22 68
June 1100 20 55
6200 124 Blank
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These slides cover continuing Examples 1–4 from the text. Slide 26 presents the demand data for the examples. Note that the daily demand is based on the number of production days per month, which varies for this firm. Slide 27 graphs the average forecasted monthly demand per day as compared to the average daily demand overall of 50 units. The ensuing three examples present three different strategies for meeting the forecasted demand. Slides 28–31 present the raw data along with Example 2—a level strategy with constant workforce. This strategy builds anticipatory inventory in the first few months to be drawn down in later months. The only costs incurred are regular labour and inventory costs.
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Roofing Supplier Example 1 (2 of 2)
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Roofing Supplier Example 2 (1 of 4)
Table 13.3
Cost Information Blank
Inventory carrying cost $ 5 per unit per month
Subcontracting cost per unit $20 per unit
Average pay rate $10 per hour ($80 per day)
Overtime pay rate $17 per hour (above 8 hours per day)
Labour-hours to produce a unit 1.6 hours per unit
Cost of increasing daily production rate (hiring and training) $300 per unit
Cost of decreasing daily production rate (layoffs) $600 per unit
Plan 1 – constant workforce
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Roofing Supplier Example 2 (2 of 4)
Month Production Days Production at 50 Units per Day Demand Forecast Monthly Inventory Change Ending Inventory
Jan 22 1100 900 +200 200
Feb 18 900 700 +200 400
Mar 21 1050 800 +250 650
Apr 21 1050 1200 -150 500
May 22 1100 1500 -400 100
June 20 1000 1100 -100 0
1,850
Total units of inventory carried over from one month to the next = 1850 units
Workforce required to produce 50 units per day = 10 workers
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Roofing Supplier Example 2 (3 of 4)
Costs Calculations
Inventory carrying $9250 (= 1850 units carried x $5 per unit)
Regular-time labour 99 200 (= 10 workers x $80 per day x 124 days)
Other costs (overtime, hiring, layoffs, subcontracting) 0
Total cost $108 450
Total units of inventory carried over from one month to the next = 1850 units
Workforce required to produce 50 units per day = 10 workers
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Roofing Supplier Example 2 (4 of 4)
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Roofing Supplier Example 3 (1 of 5)
Table 13.2 Monthly Forecasts
Month Expected Demand Production Days Demand Per Day (computed)
Jan 900 22 41
Feb 700 18 39
Mar 800 21 38
Apr 1200 21 57
May 1500 22 68
June 1100 20 55
Blank 6200 124 Blank
Plan 2 – subcontracting
Minimum requirement = 38 units per day
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Slides 32–36 present Example 3—a level strategy to cover the lowest-demand period along with subcontracting for all other months. The only costs incurred are regular labour (lower than Example 2) and subcontracting.
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Roofing Supplier Example 3 (2 of 5)
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Roofing Supplier Example 3 (3 of 5)
Table 13.3
Cost Information
Inventory carrying cost $ 5 per unit per month
Subcontracting cost per unit $20 per unit
Average pay rate $10 per hour ($80 per day)
Overtime pay rate $17 per hour (above 8 hours per day)
Labour-hours to produce a unit 1.6 hours per unit
Cost of increasing daily production rate (hiring and training) $300 per unit
Cost of decreasing daily production rate (layoffs) $600 per unit
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Roofing Supplier Example 3 (4 of 5)
In-house production = 38 units per day × 124 days
= 4712 units
Subcontract units = 6200 – 4712
= 1488 units
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Roofing Supplier Example 3 (5 of 5)
Costs Calculations
Regular-time labour $75 392 (= 7.6 workers × $80 per day × 124 days)
Subcontracting 29 760 (= 1488 units × $20 per unit)
Total cost $105 152
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Roofing Supplier Example 4 (1 of 4)
Table 13.2 Monthly Forecasts
Month Expected Demand Production Days Demand Per Day (computed)
Jan 900 22 41
Feb 700 18 39
Mar 800 21 38
Apr 1200 21 57
May 1500 22 68
June 1100 20 55
Blank 6200 124 Blank
Plan 3 – hiring and layoffs
Production = Expected Demand
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Slides 37–40 present Example 4—a chase strategy via hiring and layoffs. The costs incurred in this plan are regular labour, hiring, and layoff costs.
38
Roofing Supplier Example 4 (2 of 4)
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Roofing Supplier Example 4 (3 of 4)
Table 13.3
Cost Information Blank
Inventory carrying cost $ 5 per unit per month
Subcontracting cost per unit $20 per unit
Average pay rate $10 per hour ($80 per day)
Overtime pay rate $17 per hour (above 8 hours per day)
Labour-hours to produce a unit 1.6 hours per unit
Cost of increasing daily production rate (hiring and training) $300 per unit
Cost of decreasing daily production rate (layoffs) $600 per unit
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Roofing Supplier Example 4 (4 of 4)
Table 13.4 Cost Computations for Plan 3
Month Forecast (units) Daily Prod Rate Basic Production Cost (demand × 1.6 hrs/unit × $10/hr) Extra Cost of Increasing Production (hiring cost) Extra Cost of Decreasing Production (layoff cost) Total Cost
Jan 900 41 $ 14 400 — — $ 14 400
Feb 700 39 11 200 — $1200 (= 2 × $600) 12 400
Mar 800 38 12 800 — $600 (= 1 × $600) 13 400
Apr 1200 57 19 200 $5 700 (= 19 × $300) — 24 900
May 1500 68 24 000 $3300 (= 11 × $300) — 27 300
June 1100 55 17 600 — $7,800 (= 13 × $600) 25 400
$99 200 $9000 $9,600 $117 800
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Comparison of Three Plans
Table 13.5 Comparison of the Three Plans
Cost Plan 1 Plan 2 Plan 3
Inventory carrying $ 9250 $ 0 $ 0
Regular labour 99 200 75 392 99 200
Overtime labour 0 0 0
Hiring 0 0 9000
Layoffs 0 0 9600
Subcontracting 0 29 760 0
Total cost $108 450 $105 152 $117 800
Plan 2 is the lowest cost option
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Slide 41 summarizes the costs of the three plans. In this problem, the subcontracting option was the best among the three options, although that would certainly not always be the case.
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Mathematical Approaches
Useful for generating strategies
Transportation Method of Linear Programming
Produces an optimal plan
Management Coefficients Model
Model built around manager’s experience and performance
Other Models
Linear Decision Rule
Simulation
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This slide identifies the mathematical approaches for generating good strategies that are described in the text.
LO 4: Solve an aggregate plan via transportation method of linear programming.
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Management Coefficients Model
Builds a model based on manager’s experience and performance
A regression model is constructed to define the relationships between decision variables
Objective is to remove inconsistencies in decision making
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The idea behind the management coefficients model is quite different. We assume that previous decisions were good ones and so we create a regression model that relates certain input variables such as demand and labour to past aggregate planning decisions. Future decisions can be based on the resulting regression equations. This minimizes inconsistencies in future decision making.
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Other Models
Linear Decision Rule
Minimizes costs using quadratic cost curves
Operates over a particular time period
Simulation
Uses a search procedure to try different combinations of variables
Develops feasible but not necessarily optimal solutions
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Two other models are mentioned in this slide. One of the most important original foundational operations management models was the famous HMMS rule, developed by Holt, Modigliani, Muth, and Simon. This model handles quadratic cost curves, which in some situations may be more realistic than linear cost models.
Computer simulation, on the other hand, represents a high-volume trial-and-error method, searching for the best alternative among many possibilities. The main downside of simulation that that optimal solutions are not guaranteed.
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Summary of Aggregate Planning Methods (1 of 2)
Table 13.8 Summary of Four Major Aggregate Planning Methods
Techniques Solution Approaches Important Aspects
Graphical methods Trial and error Simple to understand and easy to use. Many solutions; one chosen may not be optimal
Transportation method of linear programming Optimization LP software available; permits sensitivity analysis and new constraints; linear functions may not be realistic
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These slides reproduce Table 13.8 from the text, comparing aggregate planning techniques.
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Summary of Aggregate Planning Methods (2 of 2)
Table 13.8 Continued
Techniques Solution Approaches Important Aspects
Management coefficients model Heuristic Simple, easy to implement; tries to mimic manager’s decision process; uses regression
Simulation Change parameters Complex; may be difficult to build and for managers to understand
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These slides reproduce Table 13.8 from the text, comparing aggregate planning techniques.
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Aggregate Planning in Services
Controlling the cost of labour is critical
Accurate scheduling of labour-hours to assure quick response to customer demand
An on-call labour resource to cover unexpected demand
Flexibility of individual worker skills
Flexibility in rate of output or hours of work
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Aggregate planning techniques apply equally as well in services as in manufacturing, but services often implement more demand management strategies. As the control of labour cost is critical in service firms, this slide identifies four successful techniques for doing that
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Five Service Scenarios (1 of 2)
Restaurants
Smoothing the production process
Determining the optimal workforce size
Hospitals
Responding to patient demand
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Five different service scenarios are described in these slides. Slide 52: For restaurants, some amounts of anticipatory inventory can be produced during slack periods (rapid inventory perishability is an important consideration), but most demand changes are accommodated by labour capacity changes. Hospitals may have floating staff positions capable of filling in for the very uncertain demand fluctuations in different departments.