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Lin/Operations/Process Analysis & Apps 1
Process Analysis and Applications Module Operational Measures: Time T, Inventory I, Throughput rate R
» Link to Financial Measures
» Link through Little’s Law
» CRU Computer Rentals
Capacity and Flow Time Analysis» Pizza Pazza Company
» Levers for Improvement
» Optimal Capacity Investment
» Multi-product Capacity Management
» National Cranberry Cooperative
Lin/Operations/Process Analysis & Apps 2
Operational Performance Measures
Flow time T
Throughput rate R
Inventory I
Process Cost
Quality
Lin/Operations/Process Analysis & Apps 3
Price
Quantity
Material
Labor
Energy
Overhead
PP&E
Inventory
Other
Revenues
Costs
Capital invested
Weighted average cost of capital
x
+
+
+
+
+x
Profit
Opportunity cost
-
Economic value added (EVA)
Financial metrics Operational metrics
1. Increase price2. Increase
throughput
Improvement levers
3. Reduce costs4. Improve quality
5. Reduce capital intensity6. Reduce inventory
Reduce time
-
The business imperative: creating economic value
Lin/Operations/Process Analysis & Apps 4
Relating operational measures (flow time T, throughput R & inventory I) with Little’s Law
Inventory = Throughput x Flow Time
I = R x T
Turnover = Throughput / Inventory
= 1/ T
Inventory I[units]
Flow rate/Throughput R
[units/hr]... ...... ......
Flow Time T [hrs]
Lin/Operations/Process Analysis & Apps 5
Process Flow ExamplesMonetary Flow: Wim Duisenberg must decide how many Euro notes to print by
2002. Euroland’s central banks’ cash handling is estimated at €2,400 billion per year. The average cash holding time by consumers and businesses is estimated at 2 months. How many Euro notes should Duisenberg print?
Customer Flow: Taco Bell processes on average 1,500 customers per day (15 hours). On average there are 75 customers in the restaurant (waiting to place the order, waiting for the order to arrive, eating etc.). How long does an average customer spend at Taco Bell and what is the average customer turnover?
Job Flow: The Travelers Insurance Company processes 10,000 claims per year. The average processing time is 3 weeks. Assuming 50 weeks in a year, what is the average number of claims “in process”.
Lin/Operations/Process Analysis & Apps 6
Process Flow Examples
Material Flow: Wendy’s processes an average of 5,000 lb. of hamburgers per week. The typical inventory of raw meat is 2,500 lb. What is the average hamburger’s cycle time and Wendy’s turnover?
Cash Flow: Motorola sells $300 million worth of cellular equipment per year. The average accounts receivable in the cellular group is $45 million. What is the average billing to collection process cycle time?
Question: A general manager at Baxter states that her inventory turns three times a year. She also states that everything that Baxter buys gets processed and leaves the docks within six weeks. Are these statements consistent?
CRU Computer Rentals
Linking Financial and Operational Flows&
Targeting Areas for Improvement
Lin/Operations/Process Analysis & Apps 8
Learning ObjectivesBasic Process Analysis
Process Measures: time, inventory, and throughput
What is an improvement?– Link financial measures to operational ones
– Good operational measures are leading indicators of financial performance
Using Little’s law for process flow analysis
Lin/Operations/Process Analysis & Apps 9
Process Analysis and Applications Module Operational Measures: Time T, Inventory I, Throughput rate R
» Link to Financial Measures» Link through Little’s Law» CRU Computer Rentals
Capacity and Flow Time Analysis» Pizza Pazza Company
» Levers for Improvement
» Optimal Capacity Investment
» Multi-product Capacity Management
» National Cranberry Cooperative
Lin/Operations/Process Analysis & Apps 10
Pizza Pazza Flow Chart
Lin/Operations/Process Analysis & Apps 11
Process Architecture is defined and represented by a process flow chart:Process = network of activities performed by resources
1. Process Boundaries:– input
– output
2. Flow unit: the unit of analysis
3. Network of Activities & Storage/Buffers– activities with activity times
– routes: precedence relationships (solid lines)
4. Resources & Allocation
5. Information Structure & flow (dashed lines)
Lin/Operations/Process Analysis & Apps 12
Pizza Pazza: Flow Time vs. Throughput/Capacity
1. Flow Time: What is the minimum time to fill a rush order, assuming that all steps
of the process are started only after the order is received?
Without spending money, how would you reduce this response time?
2. Maximal throughput = capacity: What is the maximum number of orders that PP can fill per hour in
steady state?
Lin/Operations/Process Analysis & Apps 13
Operational Measure: Flow TimeDriver: Activity Times
Flow Time: Theoretical vs. Average
Critical Activity
Flow Time efficiency
Lin/Operations/Process Analysis & Apps 14
Industry Process Average Flow Time
Theoretical Flow Time
Flow Time Efficiency
Life Insurance New Policy Application
72 hrs. 7 min. 0.16%
Consumer Packaging
New Graphic Design
18 days 2 hrs. 0.14%
Commercial Bank Consumer Loan
24 hrs. 34 min. 2.36%
Hospital Patient Billing 10 days 3 hrs. 3.75%
Automobile Manufacture
Financial Closing
11 days 5 hrs 5.60%
Most Time Inefficiency Comes from Waiting: Flow Times in White Collar Processes
Lin/Operations/Process Analysis & Apps 15
Levers for Reducing Flow Time
Decrease the work content of critical activities.
– work smarter.
– work faster.
– do it right the first time.
Move work content from critical to non-critical activities.
– to non-critical path or to “outer loop.’’
Reduce waiting time.
Lin/Operations/Process Analysis & Apps 16
Operational Measure: CapacityDrivers: Resource Loads
(Theoretical) Capacity of a Resource
Bottleneck Resource
(Theoretical) Capacity of the Process
Capacity Utilization of a Resource/Process = throughput [units/hr]
capacity [units/hr]
Lin/Operations/Process Analysis & Apps 17
A Recipe for Capacity Measurements
Resource Unit Load Resource Capacity Process Resource(time/job) Unit Capacity # of units Total Capacity Utilization*
* assuming system is processing at full capacity
Lin/Operations/Process Analysis & Apps 18
Pizza Pazza: Flow Rate/Capacity Analysis
1. What is the minimum number of pizza pans needed to ensure that no order has to wait for a pan?
2. If the Jacqueline calls in sick one day, what is the maximum number of orders that PP can fill?
Pizza Pazza:What if demand changes over time?
After operating for a few weeks, Jean realizes that hourly orders follow a predictable pattern: 1. during a 2 hour busy period in the evening, the restaurant
receives 6 orders/hr and some customers have to wait a little for their pizza.
2. After this peak period, the order rate falls to 2 orders/hr. Draw a build-up diagram showing how the backlog (unfilled
orders) changes throughout the evening. What is the maximum backlog during the day? When is the backlog cleared?
Pizza Pazza’s Backlog Diagram
# of unfilled orders
Lin/Operations/Process Analysis & Apps 21
Pricing: Wages and Quantity Discounts
1. Assume Jean and Jacqueline decide to hire two employees to perform their respective tasks; each paid €8 per hour. What is the contribution margin (revenue - variable costs) generated per hour of operation of the process if pizzas sell for €5 each? What is the minimum amount that Jean can charge per pizza, and still make a profit?
– Resource cost =– Material cost =– Contribution margin if sale price is €5 =– Minimum sale price =
2. Is it worth offering any discount to encourage all orders to be for three pizzas? If so, how much?
Lin/Operations/Process Analysis & Apps 22
Capacity Investments: Another oven? Task reallocation
1. The pizzas have become wildly popular and Jean feels that they can easily sell twenty pizzas per hour. To increase capacity, he is thinking of renting another industrial oven, which would cost €10 for each hour that the oven is used. Do you think it is worthwhile for Jean to rent the oven if the rest of the process is kept as is (assume that Jean and Jacqueline are doing the tasks)? What would be the contribution margin from each hour of operation of the process?
– Resource cost =– Material cost =– Contribution margin if sale price is €5 =
2. Can you think of ways to increase profits by reallocating tasks between the employees?
Lin/Operations/Process Analysis & Apps 23
Levers for Increasing Process Capacity
Decrease the work content of bottleneck activities– work smarter– work faster– do it right the first time
Move work content from bottlenecks to non-bottlenecks– create flexibility to handle tasks originally assigned to bottleneck– to non-critical resource or to third party
Increase Net Availability– work longer: increase scheduled availability– increase scale (invest)– increase size of load batches/reduce or eliminate setups & changeovers– eliminate availability waste
Lin/Operations/Process Analysis & Apps 24
Product Mix Decisions:Pizza Pazza offers 2 pizza types
Sale Price of thin crust: €5
Cost of Materials: €1.40
Sale Price of deep dish: €7.50
Cost of Materials: €1.90
Which of these two products should Jean push to customers that call in and are undecided?
Suppose they take the same processing except that deep dish require 5 min (vs 2) in sauce prep and 29 min (vs 15) in baking.
Lin/Operations/Process Analysis & Apps 25
Product Mix Decisions
Margin of thin crust pizza = €3.60
Margin of deep dish pizza = €5.60
Margin per oven minute from thin crust
= €3.60 / 16 min = € 0.225/min
Margin per oven minute from deep dish
= €5.60 / 30 min = € 0.180/min
Lin/Operations/Process Analysis & Apps 26
Solver Model for Optimal Product Mix Selection
xt: Number of thin crust pizzas sold.
xd: Number of deep dish pizzas sold.
Max 3.60 xt + 5.60 xd
subject to
16 xt + 30 xd < 1200
… < …
… < …
xt < 100
xd < 50
Technology/Resource Constraints
Market/Demand Constraints
Assume we work 20 hrs = 1200min per week
Assume this is maximal weeklydemand
Lin/Operations/Process Analysis & Apps 27
National Cranberry Cooperative