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Introduction to Operations Management - I B Mahadevan Week 2 © All Rights Reserved, Indian Institute of Management Bangalore Capacity Issues in Operations Section 2, Sub-section 2.1

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Introduction to Operations Management - IB MahadevanWeek 2

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Capacity Issues in Operations

Section 2, Sub-section 2.1

Introduction to Operations Management - IB MahadevanWeek 2

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Module 1 Highlights…

• Three broad flow patterns in the overall configuration of manufacturing & service organizations

– Streamlined flow

– Intermittent flow

– Jumbled flow

• Complexity of Operations Management varies on account of these differences

• It is important to choose appropriate measures for operations so that we can increase the propensity to succeed in the market

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Options for Improving Operations…

Improving the operations requires addressing some of the core aspects of operations.

• Capacity in the system

• Productivity Initiatives

• Supply Chain choices that we need to make

• Quality Assurance in Operations

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The Notion of Capacity in organizations

Section 2, Sub-section 2.2

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Some examples of capacity in organizations

• Associated Cements Corporation (ACC) has an installed capacity of 17.65 million tons.

• Bharat Petroleum Corporation Limited (BPCL) has a refining capacity of 260,000 barrels of crude every day.

• Recently Tata Consultancy Services (TCS), India's leading software firm announced that it will double its capacity at its largest delivery center, Hyderabad, with an addition of 28,000 employees over a period of three to four years.

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Importance of Capacity

Capacity and its relationship to competitiveness of business firms.

• In the Executive health check-up unit in a multi-specialty hospital many people wait in the system for their turn and some may choose to post-pone or abandon the idea.

• Firms find it difficult to deliver products and services on the promised date simply because of a huge backlog in customer orders.

• In a manufacturing shop floor components pile up in front of some machines while some other machines downstream starve for want of components for processing.

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Importance of Capacity (cont.)

• When capacity choices have not been made appropriately it can result in:

– Market share loss

– Loss of goodwill

– Customer dissatisfaction etc.

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Definition of Capacity

Capacity directly relates to the quantum of these resources that an operating system has:

• In the case of a garment manufacturer the number of cutting and sewing machines, the number of people employed in the shop for production, quality assurance etc. will all determine the capacity of the system.

• In a restaurant the number of dining spaces, the capacity of various machines used for cooking, the number of servers and chefs, availability of utensils, plates, cups etc. will all determine the capacity in the system.

• It also denotes the maximum output of products and services one can achieve using these resources.

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Measuring Capacity

Capacity is measured in two ways in any organization:

• On the basis of output: An automobile manufacturer such as Toyota will measure capacity on the basis of daily production of vehicles, say 20,000 vehicles per day.

• In terms of input resources: A software service provider or a management consulting firm can measure capacity in terms of the number of professionals that they have.

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Process Design & Capacity Analysis

Section 2, Sub-section 2.3

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Capacity Planning Issues

What is of interest to us are the following:

• How do these multiple resources in an operating system eventually determine the capacity of the system?

• How do they affect the outcomes and customer oriented measures such as output, and delivery promises?

• How to make an assessment of the capacity in my organization?

• What kind of data are required in order to estimate the capacity in an organization?

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Capacity Planning IssuesA Healthcare example

• Issues affecting capacity in a typical hospital:

– Doctors, para-medical staff who are involved in the treatment of the patients.

– The hospital uses certain equipments, diagnostic gadgets such as scanners.

– The hospital may also have a certain number of waiting spaces, operating theaters etc.

• Given a certain number of each of these resources,

– How it will affect the outcome in terms patient waiting, residence time in the hospital?

– These are determined by the design of the process deployed to deliver health care.

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Process Analysis

Process Analysis is a method by which:

• We can incorporate details pertaining to resources and other process related data.

• Use some logic to analyze these aspects pertaining to the capacity in the system.

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Process Analysis Building Blocks

1. Activities: These are the building blocks that make up a process – let us look at one manufacturing and one service example to understand this.

2. Technological & Logical Constraints: Dictates the order in which the steps are carried out. This is important because only then we will know the flow of activities.

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Activities & Process Constraints: The Case of Shirt Manufacturing

Cut

Attach S Sew HemAttach Co

Collar Sleeve Front Back ShoulderCuff

Iron Fold & PackInspect

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Activities & Process Constraints: The Case of Insurance Services

Review

Request

Under

WritingRating

Policy

Writing

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Process AnalysisBuilding Blocks

3. Process time for each activity: This is going to give us an idea of the extent to which resources are consumed in each activity.

4. Resources available: May include the skills of labor, types of machines, special storages, fixtures, other tools, computers etc.

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Process Times & Resource Availability: The Case of Shirt Manufacturing

No. Operation Process time/shirt (min)

1 Cutting 1.25

2 Make collar 1.48

3 Make cuffs 0.50

4 Make Sleeves 2.30

5 Make front 1.41

6 Make back 2.45

7 Join Shoulders 0.33

8 Attach collar 1.45

9 Attach Sleeves 1.38

10 Sew side seam 1.45

11 Hem Bottom 1.42

12 Inspect 2.35

13 Iron 0.48

14 Fold, Package 1.45

For example, we may have 3 cutting machines, 12 sewing machines, 7 labor in each stage of stitching the shirt, 6 inspector and so on…

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Process Times & Resource Availability: The Case of Insurance Services

Review

Request

Under

WritingRating

Policy

Writing

35 mins 26 mins 70 mins 45 mins

(4) (2) (6) (5)

Number of people for under writing

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Process Analysis FundamentalsSummary

The basic information required for process and capacity analysis:

• Activities that make up a process

• Technological & Logical Constraints

• Process Times

• Resources available at each stage of processing

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Process Analysis Toy Manufacturing Example

A toy manufacturer receives crafted toys from local carpenters and performs the final operations before stocking it for sale. The process consists of five steps.

• Step 1: Arrange a set of four toys in a pallet (8 minutes).

• Step 2: The pallet moves to the next station where the toys are pre-treated (12 Minutes).

• Step 3: Send it to the spray-painting chamber, where it is painted as per the specifications (there is one spray-painting machine) (20 minutes).

• Step 4: It is left in an open area for drying (10 minutes).

• Step 5: The toys are inspected and packed (5 minutes).

Source: Mahadevan , B. (2015), “Operations Management: Theory & Practice, Pearson Education, 3rd Edition, pp 186 – 189.

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Process Analysis Toy Manufacturing Example (Process Flow Diagram)

Prepare8 mins

Pre-treat12 mins

Paint20 mins

Dry10 mins

Inspect &Pack

5 mins

55 minutes

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 186.

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Process Analysis Throughput or Lead Time

The measure 55 minutes is the throughput time or manufacturing lead time for the process.

• There is no way we will be able to roll out a batch of toys before 55 minutes from the time we started.

• This is the response time for a rush order assuming we have nothing in stock.

• organizations need to know this number so that they can make meaningful promise to the customer as to how soon an emergency requirement could be met.

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Process Analysis Toy Manufacturing Example (A graphical representation)

Prepare8 mins

Pre-treat12 mins

Paint 20 mins

Dry10 mins

Inspect & Pack5 mins

0-8

8-20

20-28 40-48

28-40 48-60

20 - 40 40 - 60 60 - 80

80-90

90-95

40-50 60-70

70-7550-55

Every pallet of toys come out exactly in an interval of 20 minutes, which is the cycle time for the process.

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 187.

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Process Analysis Cycle Time & Bottleneck

• The measure 20 minutes is known as cycle time.

– If we manufacture these toys continuously, we will notice that a batch of toys will come out of the system every 20 minutes.

• The stage of processing which determines the cycle time controls the output from the system.

– In our example, the painting station dictates the output from the system. This is known as the bottleneck in the system.

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Process Analysis Toy Manufacturing Example (Summary of key measures)

Prepare8 mins

Pre-treat12 mins

Paint20 mins

Dry10 mins

Inspect &Pack

5 mins

• The throughput time for the process is 55 minutes.

• Cycle time is 20 minutes. The implication of this is that when the process operates in a

continuous manner, a pallet of finished toys come out every 20 minutes.

• The spray painting is the bottleneck in the process.

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 186.

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Process Analysis Some more measures of Interest

• What is the daily output of this toy manufacturing process if they have 8 hours working schedule?

• What is the utilization of each work station?

• What is the idle time in each work station?

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Process Analysis Toy Manufacturing Example (Station Output)

Prepare8 mins

Pre-treat12 mins

Paint20 mins

Dry10 mins

Inspect &Pack

5 mins

7.5 pallets/hr 5 pallets/hr 3 pallets/hr 12 pallets/hrNot relevant

The capacity calculation at “Dry” is not meaningful. This is called a non-capacity constrained resource.

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 188.

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Process Analysis Toy Manufacturing Example (Process Utilizations)

Prepare8 mins

Pre-treat12 mins

Paint20 mins

Dry10 mins

Inspect &Pack

5 mins

7.5 pallets/hour 5 pallets/hour 3 pallets/hour 12 pallets/hourNot relevant

Station Station Output per hour

Line Output per hour

Utilization

Prepare 7.5 3.0 3.0/7.5 = 40%

Pre-Treat 5.0 3.0 3.0/5.0 = 60%

Paint 3.0 3.0 3.0/3.0 = 100%

Dry Not Relevant

Inspect & Pack 12.0 3.0 3.0/12.0 = 25%

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 188.

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Process Analysis Toy Manufacturing Example (Station Idle Times)

Prepare8 mins

Pre-treat12 mins

Paint20 mins

Dry10 mins

Inspect &Pack

5 mins

7.5 pallets/hour 5 pallets/hour 3 pallets/hour 12 pallets/hourNot relevant

Station Cycle Time (min) Station ProcessTime (min)

Idle Time (min)

Prepare 20 8 12

Pre-Treat 20 12 8

Paint 20 20 0

Dry Not Relevant

Inspect & Pack 20 5 15

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 188.

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Capacity Estimation & Debottlenecking

Section 2, Sub-section 2.4

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Process Analysis Toy Manufacturing Example (Additional Information)

Let us include some more information pertaining to our toy manufacturing example.

• The Preparation stage has two parts to it:

– Part 1 is to set up the pallets, which takes 4 minutes.

– Part 2 is arranging a set of four toys into each pallet, which takes 4 minutes per pallet.

• Further, the painting booth can hold up to 3 pallets at a time.

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Process Analysis Toy Manufacturing Example (Options for Increasing the output)

There are two choices to improve the output from the system:

• Adding more units of capacity at the stations to increase the output.

• Increasing the number of pallets processed at a time from one up to a maximum of three (because the paint booth can accommodate that many).

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Process Analysis Toy Manufacturing Example (Impact of 2 painting booths)

Scenario 1: Batch Size of the Process = 1 pallet, 2 painting units

Prepare(8 mins)

7.5 pallets/hour

Pre-treat(12 mins)

5 pallets/hour

Paint(20 mins)

3 pallets/hour

DryInspect & Pack

(5 mins)12 pallets/hour

Prepare(8 mins)

7.5 pallets/hour

Pre-treat(12 mins)

5 pallets/hour

Paint(20 mins)

3 pallets/hourDry

Inspect & Pack(5 mins)

12 pallets/hour

Existing Scenario: Batch Size of the Process = 1 pallet, 1 painting booth

Paint(20 mins)

3 pallets/hour

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Process Analysis Impact of Debottlenecking option

The output did not double when we added the second painting booth. In fact the line output went up from 3 to 5 only.

• Bottleneck shifted out of Painting. Pre-treatment now becomes the bottleneck. This is known as wandering bottleneck.

• This has important implication in investment justification when new capacity is added at a bottleneck station.

• We may not be able to calculate the net increase in production unless we locate where the new bottleneck is.

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Process Analysis Toy Manufacturing Example (Impact of Policy Changes)

• It is also important to know that certain operating policies can help us alter the output from the system.

• In our example, it is possible to accommodate up to 3 batches of pallets in the paint booth.

• Therefore, we shall increase the pallets processed at the painting booth and see its impact on output.

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Process Analysis Toy Manufacturing Example (Impact of Policy Changes)

Prepare(8 mins)

7.5 pallets/hour

Pre-treat(12 mins)

5 pallets/hour

Paint(20 mins)

3 pallets/hour

DryInspect & Pack

(5 mins)12 pallets/hour

Existing Scenario: Batch Size of the Process = 1 pallet

Scenario 1: Batch Size of the Process = 2 pallets

Prepare(4+ (2*4) =

12 mins)10 pallets/hour

Pre-treat(12 mins)

5 pallets/hour

Paint(20 mins)

6 pallets/hourDry

Inspect & Pack(5 mins)

12 pallets/hour

Scenario 2: Batch Size of the Process = 3 pallets

Prepare(4+ (3*4) =

16 mins)11.25 pallets/hour

Pre-treat(12 mins)

5 pallets/hour

Paint(20 mins)

9 pallets/hour

DryInspect & Pack

(5 mins)12 pallets/hour

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 188.

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Process Analysis Impact of Policy Change Option

• The bottleneck shifted out of Painting. Pre-treatment now becomes the bottleneck.

• By changing the operating policy at the process, we have been able to increase the output from the line from 3 pallets per hour to 5 pallets per hour.

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Process Analysis Toy Manufacturing Example (Hybrid Option)

Hybrid Option: We can simultaneously implement operational policy change and capacity addition alternatives

• We shall add one more pre-treatment unit and,

• Also implement a policy of processing three pallets at a time

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Process Analysis Toy Manufacturing Example (Hybrid Option)

Scenario 1: Batch Size of the Process = 3 pallets, 2 pre-treatment units

Prepare(4+ (3*4) =

16 mins)

11.25 pallets/hour

Paint(20 mins)

9 pallets/hour

Pre-treat(12 mins)

5 pallets/hour

DryInspect & Pack

(5 mins)12 pallets/hour

Prepare(8 mins)

7.5 pallets/hour

Pre-treat(12 mins)

5 pallets/hour

Paint(20 mins)

3 pallets/hourDry

Inspect & Pack(5 mins)

12 pallets/hour

Existing Scenario: Batch Size of the Process = 1 pallet, 1 painting booth

Pre-treat(12 mins)

5 pallets/hour

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 189.

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Process Analysis Toy Manufacturing Example (Summary of Findings)

• When we added one more painting booth, the capacity went up from 3 pallets per hour to 5 pallets per hour.

• We could have achieved the same increase in output by avoiding the capacity investment and instead changing the operating policy.

• When we used a combination of both of these, the output could indeed go up to 9 pallets per hour.

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Process Analysis Toy Manufacturing Example (Key Inferences)

The above examples point to us certain important issues related to capacity improvement & addressing bottlenecks.

• Capacity is not increased merely by adding more units at the bottleneck stage.

• Process choices can also contribute to improving the output.

• A judicious combination can provide innovative options for organizations to increase their output at least cost of capacity addition.

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Capacity Estimation (Multiple Jobs)

Section 2, Sub-section 2.4

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Process Analysis in the case of Multiple JobsA Health Diagnostics Example (cont.)

• Suppose there is a health diagnostic center which provides services to the arriving patients.

– Three types of patients arrive and they undergo a preliminary investigation before further tests are done.

– There are dedicated preliminary investigation facilities available for each of the three types of customers.

– Patient Type 1 compulsorily have to undergo tests in the Coronary Unit and the Radiology departments in the diagnostics center in that order.

– Patient Type 2 generally require some tests in the Radiology Department. After Preliminary Investigation, 20% of them will be asked to go the Coronary Unit first for some tests and from there they will proceed to the Radiology Department.

– Patient Type 3 undergo Gynecology related tests.

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Process Analysis in the case of Multiple JobsA Health Diagnostics Example

• After all tests are done, all the three types of patients visit a common facility in which a pool of doctors is available.

• One of the doctors meets with the patient, reviews the reports and provides further advice wherever required.

• Irrespective of the patient type, they meet any of the available doctor for this final review.

• Based on some historical trends, the diagnostic center expects the potential daily arrivals of the three patient types as follows:

– Patient Type 1: 100

– Patient Type 2: 200

– Patient Type 3: 220

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Process Analysis in the case of Multiple JobsA Health Diagnostics Example (Process Details)

DepartmentProcess Time

(Minutes)

No. of Resources

Available

Preliminary Investigation

(Patient Type 1)20 5

Preliminary Investigation

(Patient Type 2)15 6

Preliminary Investigation

(Patient Type 3)10 5

Coronary Unit 30 5

Radiology Department 10 6

Gynecology Department 20 8

Final Review 10 10

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Process Analysis in the case of Multiple JobsA Health Diagnostics Example (Process Flow Diagram)

Preliminary Investigation (P1)

Preliminary Investigation (P2)

Preliminary Investigation (P3)

Coronary Unit

Radiology Unit

Final Review

Gynecology Unit

20%

80%

Patient (Type 1)

Patient (Type 2)

Patient (Type 3)

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Process Analysis in the case of Multiple JobsA Health Diagnostics Example (Capacity Calculations)

Process StepProcess

Time (min)

Capacityper hour

per available resource

Number of Resources Available

Potential Daily

Station Output

Demand at the

Station

Actual Station Output

Preliminary Investigation (P1) 20 3 5 120 100 100

Preliminary Investigation(P2) 15 4 6 192 200 192

Preliminary Investigation(P3) 10 6 5 240 220 220

Coronary Unit 30 2 5 80 138.4 80

Radiology Department 10 6 6 288 233.6 233.6

Gynecology Department 20 3 8 192 220 192

Final Review 10 6 10 480 425.6 425.6

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Process Analysis in the case of Multiple JobsA Health Diagnostics Example (Inferences)

• Even though 520 patients can potentially make use of the diagnostic center services, the center can handle only 425.60 patients every day.

• There is a foregone opportunity on account of bottlenecks in the system.

– Coronary Unit is a bottleneck in the system as it controls the output of type 1 and type 2 patients coming into the system.

– Therefore, efforts to improve the system output will invariably need some capacity additions in this stage of the processing.

– The gynecology department constraints the flow of type 3 patients in the system as it is the bottleneck in the current state of the process.

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Process StepProcess

Time (min)

Capacityper hour

per available resource

Number of Resources Available

Potential Daily

Station Output

Demand at the

Station

Actual Station Output

Preliminary Investigation (P1) 20 3 5 120 100 100

Preliminary Investigation(P2) 15 4 6 192 200 192

Preliminary Investigation(P3) 10 6 5 240 220 220

Coronary Unit 30 2 6 96 138.4 96

Radiology Department 10 6 6 288 249.6 249.6

Gynecology Department 20 3 8 192 220 192

Final Review 10 6 10 480 441.60 441.60

Process Analysis in the case of Multiple JobsA Health Diagnostics Example (Output – 6 Coronary Units)

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Process Analysis in the case of Multiple JobsA Health Diagnostics Example (Output – 9 Coronary Units)

Process StepProcess

Time (min)

Capacityper hour

per available resource

Number of Resources Available

Potential Daily

Station Output

Demand at the

Station

Actual Station Output

Preliminary Investigation (P1) 20 3 5 120 100 100

Preliminary Investigation(P2) 15 4 6 192 200 192

Preliminary Investigation(P3) 10 6 5 240 220 220

Coronary Unit 30 2 9 144 138.4 138.4

Radiology Department 10 6 6 288 292 288.0

Gynecology Department 20 3 8 192 220 192

Final Review 10 6 10 480 480.00 480.00

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Process Analysis in the case of Multiple JobsA Health Diagnostics Example (Inferences)

• As more number of units are added to the coronary unit the wandering bottleneck phenomenon sets in.

• At a capacity of 9 in the coronary units, the bottleneck shifts to radiology department for the type 1 and type 2 patients.

• The output at the coronary unit can be increased not merely by adding more units.

• There may be other process choices and improvement opportunities which may bring down the process time and thereby increase the capacity.

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Capacity Estimation (Worker Paced Systems)

Section 2, Sub-section 2.4

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Capacity Estimation (Worker Paced Systems)

• Several situations in real life where the capacity decisions are made on the basis of certain targeted output from the operating system.

• Such systems are predominantly worker paced.

• Typically involve final assembly, finishing operations and delivery of the product or service to the customer.

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Capacity Estimation (Worker Paced Systems)Examples

• Maruti Suzuki Limited, India’s largest manufacturer of passenger cars produces about 1.35 million cars a year.

– Suppose Maruti works for 15 hours a day and 25 days a month.

– This would mean that every 12 seconds one car must roll out of its final assembly shop.

• Consider a fast food joint such as McDonalds or Hotel Saravana Bhavan.

– During peak hours, the number of customers that they need to serve is say 40 per hour.

– This would translate into a per customer serving time of 90 seconds.

• In both the above examples the operations must be aligned to this aspect.

• The number of workers required & the process design are determined on the basis of the targeted output from the system.

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example

• The food delivery section of a fast food joint needs to be designed for a targeted daily service rate of 320 customer orders.

• The restaurant works for 8 hours. Irrespective of variations in the customer order, the delivery of the food as per customer order follows a standardized process.

• With this information we need to design the process and address capacity related issues for meeting the targeted daily requirement of 320 customer orders.

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example (Activities & Process Times)

It consists of 8 steps, the details and process times are as follows:

1. Deconstruct the order and identify the ingredients for the order – 70 seconds.

2. Prepare the main dish as per the order – 80 seconds.

3. Prepare the topping/additives for the main dish – 40 seconds.

4. Obtain Delivery tray – 20 seconds.

5. Prepare the beverages as per the order – 40 seconds.

6. Microwave the main dish along with toppings – 30 seconds.

7. Dish out side dishes for the menu – 50 seconds.

8. Verify and Assemble the order and handover – 50 seconds.

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example (Precedence Constraints)

Identify Ingredients

PrepareMain Dish

Topping/Additives

DeliveryTray

PrepareBeverages

Micro-wave

Main Dish

Add

Side Dishes

AssembleVerify

Deliver

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example (Targeted Cycle Time)

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example (Minimum No. of workstations required)

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example (Design of Workstations)

PrepareMain Dish

Additives & Toppings

Delivery Tray

BeverageMicro-wave

Side Dishes

Deliver

70 80 40 20 40 30 50 50

Station 1 2 3 4 5

TasksPrepare Main Dish Additives &

Toppings, Micro-wave

Beverage, Side Dishes

Delivery Tray, Deliver

ProcessTime

70 80 40 + 30 = 70

40 + 50 = 90

20 + 50 =70

Idle Time 20 10 20 0 20

Utilization 70/90 = 77.78%

80/90 = 88.89%

77.78% 100% 77.78%

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example (Inferences)

• The most important requirement is that the cycle time of the station should not exceed 90 seconds.

• As long as we are able to accommodate precedence constraints, we can group the activities in any fashion.

• We may want to use practical considerations for grouping the tasks.

• This will have implications for skill level, training, the extent of imbalance across stations etc.

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example (Impact of increased Demand)

Suppose if the daily demand is likely to increase to 400 from the current level of 320.

𝑇𝑎𝑟𝑔𝑒𝑡𝑒𝑑 𝐶𝑦𝑐𝑙𝑒 𝑇𝑖𝑚𝑒 =8 ∗ 60 ∗ 60

400= 72 𝑠𝑒𝑐𝑜𝑛𝑑𝑠

𝑀𝑖𝑛𝑖𝑚𝑢𝑚 𝑁𝑜. 𝑜𝑓 𝑤𝑜𝑟𝑘𝑠𝑡𝑎𝑡𝑖𝑜𝑛𝑠 𝑟𝑒𝑞𝑢𝑖𝑟𝑒𝑑 =380

72= 5.27 ≅ 6

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Capacity Estimation (Worker Paced Systems)Fast Food Joint Example (Impact of increased Demand)

• It is not possible to meet the demand with 5 work stations.

• We need to add a sixth workstation and accordingly redistribute the tasks among the six work stations.

• Main dish has a process time of 80 seconds. The only way to bring down this process time below 72 is to duplicate one more unit at this workstation.

• All these changes will reduce the average resource utilization but we will be able to meet the targeted daily demand of 400.

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Other Issues in Capacity Planning

Section 2, Sub-section 2.5

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Capacity Planning under uncertaintyUse of Queueing Theory

• In all the examples that we have seen so far demand and process times were assumed to be known and deterministic.

• However, in reality, both these information tend to be varying and quite uncertain. The question of interest is how will this impact the capacity?

• One way to address this is to incorporate these idiosyncrasies into our analysis and then compute measures such a delays, waiting times, utilization etc.

• Queueing Theory or Waiting Line Models provide a structured approach to address capacity issues under such conditions.

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Capacity Planning under uncertaintyComponents of a Queueing System

ArrivalsServer Served

customersWaiting Line

Population

This is a single server queue.

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 271.

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Capacity Planning under uncertaintyRelevant Measures in Queueing Systems

Mean Arrival rate

Mean Service rate

𝜌 Utilization of the Server

Lq Average number of customers in the waiting line

(Length of the Queue)

Lq =

Single server Queue

(Exponential service time)

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Capacity Planning under uncertaintySome Managerial Implications

The formula for the length of the queue implies the following:

• As the difference between the service rate and arrival rate narrows down, the queue can build longer and longer.

• Since utilization is a ratio of these two numbers, at higher utilization the queue gets longer.

• When the service rate and the arrival rate are the same, the utilization is 100% and the queue length becomes infinite.

• This means that when we deal with uncertainties in demand and service times we should not design a process for 100% utilization of resources.

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Capacity Planning under uncertaintyEffect of reducing uncertainty

• Suppose we were able to automate the step in the process and reduce the variability in service time to zero.

– The mean remains at 𝜇, but the standard deviation 𝜎 is zero.

• The queue length has halved compared to the earlier case. This greatly motivates us to put efforts in process variability.

• Automation, better training, unambiguous policies, clear authorization, availability of right information and well-designed processes are ways by which we can reduce variability.

Lq =

Single server Queue

Deterministic service time

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Capacity Planning under uncertaintySome Managerial Implications

In real life situations involving complex network of queues, the following two results are invariable:

• Higher utilization leads to delays and huge pile ups.

• It pays to invest in reducing process time variability.

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Capacity Planning under uncertaintyFlexibility/Utilization Trade-off

Utilization 100%0

Opera

tional Perf

orm

ance

M

easu

res

High utilization

Low cost of operation

Poor service

Low utilization

High cost of operation

Good service

Source: Mahadevan, B. (2015), “Operations Management: Theory & Practice”, Pearson Education, 3rd Edition, pp 278.

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Capacity Planning under uncertaintyCost of the service

Exp

ecte

d c

osts

Level of service

Total cost

Service

cost

Waiting Costs

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Other Alternatives for increasing the capacity

• Let us consider a service system such as a restaurant:

– Peak Demand: Between 7.30 am and 9.30 am

– Non-Peak Demand: Between 3.00 pm and 5.00 pm

• Most service systems have peak hour and non-peak hour zones of demand.

• How do we address capacity requirements during peak hours?

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Increasing the capacity in the systemOther alternatives (Product Portfolio Choices)

• Narrow the service portfolio offered to the customers

– If we offer too many varieties, we lose capacity in changing over from one variety to the other, setting up the system for a new variety etc.

• Shift the excess demand from the peak zone to a non-peak zone.

– Introduce capacity reservation system & prior appointments – such as table reservations and doctor appointments.

– Use pricing strategies to address capacity problems.

• Offering discounts will help shift the demand from peak to non-peak.

• Offering premium pricing for the peak hour capacity will also adjust the demand.

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Increasing the capacity in the systemOther alternatives (Multi-skilling)

• Have multi-skilling of the work force so that one can utilize a flexible work force in various stages of the service delivery to address the demand.

– During the peak hour time, the order taking personnel can also double up as severs by addressing certain service requirements.

– In the kitchen area multi-skilled flexible workforce can address the surge in demand more effectively.

• One can also hire temporary workers to increase capacity.

– This will be limited to semi-skilled and unskilled trade.

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Increasing the capacity in the systemOther alternatives

• Use alternative planning premises to address capacity issues during peak-hour.

• There are three planning premises normally used in businesses.

– Made-to-Order (MTO)

– Made-to-Stock (MTS)

– Assemble-to-Order (ATO)

• In the case of MTS the requirement is fulfilled using what is already available in inventory as semi-configured.

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Increasing the capacity in the systemOther alternatives (Planning Modifications)

• In most cases, services cannot be inventoried. Therefore MTS has a limited use in service businesses.

• However, services make use of ATO.

– A planning premise in which part of the service is pre-processed.

– The preparatory work is done during the non-peak zone that precedes the peak hour.

– Capacity required for delivering service during peak hour is minimized.

– As soon as the customer arrives in the system, the balance work is done and service is delivered faster.

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Increasing the capacity in the systemOther alternatives (Planning Modifications)

• During non-peak hours a service system can resort to other process choices and offerings. These include:

– MTO method of handling service requests

– specialized work force

– Wide service portfolio