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Aggregate Planning
(Sales and Operations Planning )
Framework for
Operations
Planning for
Goods and
Services
Chapter 13 Resource Management
   Aggregate Planning Process
• Aggregate planning is the development of a long-
  term output and resource plan in aggregate units of
  measure.
• These typically define output levels over a planning
  horizon of 1 to 2 years, focusing on product families
  or total capacity requirements.
• Aggregate planning later translates into monthly or
  quarterly production plans, taking into account
  capacity limitations such as supply availability,
  equipment, and labour.
Stages in Operations Planning Process.
• Level 2 planning, or disaggregation, is the process of
  translating aggregate plans into short-term
  operational plans that provide the basis for weekly
  and daily schedules and detailed resource
  requirements.
• Level 3 focuses on execution, moving work from
  one workstation to another, assigning people to
  tasks, setting priorities for jobs, scheduling
  equipment, and controlling processes.
Required Inputs to the Production
        Planning System
t Aggregate Planning Decisions and Strategies

 • Demand Management:
Management
     The cooperation between marketing and manufacturing to
        create more feasible aggregate demands.
 • Production-Rate Changes:
     Utilizing overtime, subcontracting during peak months.
 • Work-Force Changes:
     Hiring and firing employees—often not a feasible
        alternative.
 • Inventory Smoothing:
     Building inventories or carrying back orders.
 • Facilities and Equipment,
     Typically a long-term investment, although companies
        can rent equipment for peak seasons.
Aggregate Planning Process
1. Chase Approach: The capacities and output levels are
    adjusted to match demand requirements over the
    planning horizon
• Advantages: Investment in inventory is low and Labour
    utilization is high
   Disadvantage: The cost adjusting output and capacities
2. Level Approach: Capacities are kept constant over the
    planning horizon.
• Advantages:Stable output rate and work force levels
   Disadvantage: Greater inventory cost, Increased
    overtime and idle time and varying resource utilization
Relevant Costs
1. Basic production costs
  • The fixed and variable costs incurred in
    producing a given product type in a given time
    period
2. Costs associated with changes in the
   production rate
  • Hiring, training, and laying off personnel
3. Inventory holding costs
4. Backorder costs
General Procedure for Aggregate
                Planning
1. Determine the demand for each period
2. Determine the capacities (regular time, overtime,
   subcontracting) for each period
3. Identify pertinent company policies such as level of
   safety stock, stable workforce etc.
4. Determine unit costs for regular time, overtime,
   subcontracting, holding inventories, back orders, layoffs
   etc.
5. Develop alternative plans and compute the cost of each
6. If satisfactory plans emerge, select the one that best
   satisfies the objectives. Otherwise, return to step 5
Techniques
• Trial and error Techniques using
  graphs and spreadsheets
• Linear Programming:
  Transportation model
• Simulation Models
Yield Management
• Yield management: the process of allocating the right type
  of capacity to the right type of customer at the right price
  and time to maximize revenue or yield
   – Can be a powerful approach to making demand more predictable
• Has existed as long as there has been limited capacity for
  serving customers
• Its widespread scientific application began with American
  Airlines’ computerized reservation system (SABRE)
Yield Management Most Effective
             When
1. Demand can be segmented by customer
2. Fixed costs are high and variable costs are
   low
3. Inventory is perishable
4. Product can be sold in advance
5. Demand is highly variable
Chapter 13 Resource Management

Disaggregation in Manufacturing
•   Disaggregation (Level 2) provides the link between
    aggregate plans developed at Level 1 and detailed
    execution at Level 3
•   This provides the basis for detailed purchasing and
    production schedules for all of the components that
    comprise the finished good or support service delivery.
•   There are three major components for disaggregating
    aggregate plans into Level 2 plans.
        Master production scheduling (MPS)
        Materials requirement planning (MRP)
        Capacity requirement planning (CRP)
Disaggregation
Framework for
Manufacturing
Plans and
Schedules
Material Requirements Planning (MRP)


• MRP is a technique that has been employed since the
  1940s and 1950s.
• Joe Orlicky is known as the Father of MRP
• The use and application of MRP grew through the
  1970s and 1980s as the power of computer hardware
  and software increased.
• MRP gradually evolved into a broader system called
  manufacturing resource planning (MRP II).
What is MRP?


• MRP: a computer-based system that develops
  plans for ordering and producing dependent
  demand items.
• Material requirements plan: a plan that
  specifies the timing and size of new production
  orders, adjustments to existing order
  quantities, and expediting or delay of late/early
  orders
MRP Inputs
MRP utilizes two basic principles:
    1. Requirements for dependent demand items are
       derived from the production schedule for their
       parents the items that are assembled from
       component parts).
    2. The production order is offset to account for the lead
       time.
•    Developed through a combination of three inputs:
       1.   The Master Production Schedule
       2.   The Bill of Materials
       3.   Inventory Records
Aggregate            Forecasts
           Firm orders
                                  product            of demand
           from known
                                    plan            from random
            customers
                                                      customers


Engineering              Master production
                         Schedule (MPS)                                Inventory
  design
                                                                     transactions
 changes

                                  Material
                                  planning
 Bill of                           (MRP                                Inventory
material                         computer                              record file
  file                            program)
                                             Secondary reports
Primary reports
                                             Exception reports
Planned order schedule for                   Planning reports
inventory and production                     Reports for performance
control                                      control
                                                       ©The McGraw-Hill Companies, Inc., 2004
Master Production Schedule for a Family of Bicycles
Key Aspects of Master Production
             Scheduling
• The sums of the quantities in the MPS must equal
  those in the aggregate production plan.
• Aggregate production quantities should be planned
  efficiently over time in order to minimize setup,
  production, and inventory costs.
• Capacity limitations must be considered before
  finalizing the MPS, including labour and machine
  capacity, storage space, transportation equipment,
  and other factors.
The Bill of Materials


• Bill of materials (BOM): a document that
  specifies all assemblies, subassemblies, parts,
  and raw materials that are required to produce
  one unit of the finished product. It is also called
  the Product Structure
Partial Bill
of Materials for a Bicycle
Inventory Records
• Inventory record: a document that specifies
  order/lot size policy and lead time and records
  all transactions made for parts, assemblies,
  and components
  – Includes: transactions made for parts, assemblies,
    and components both from manufacturing within
    an organization and from purchasing items from
    external suppliers
MRP Terminology
• Gross requirements: the total number of units of a
  part or material derived from all parent production
  plans
• Scheduled receipts: orders that have been placed
  but not yet received or completed
• Projected on-hand inventory: the estimated
  inventory that will be available after the gross
  requirements have been satisfied, plus any planned
  or scheduled receipts for that time bucket
MRP Terminology
• Planned order receipts: future orders that which have not yet been
  released but are planned in order to avoid a shortage or backlog of
  inventory
• Planned order release: when an order must be released in order to
  offset for the lead time so that the order will be received when
  planned
• The difference between a planned and a scheduled receipt: a planned
  receipt is not firmly committed to and can be changed relatively easily
  up until the time the order is released.
• As soon as the order is released, it becomes a scheduled order, which
  is much harder to change.
MRP Computer Program
• Begins with number of end items needed
• Add service parts not included in MPS
• Explode MPS into gross requirements by consulting
  bill of materials file
• Modify gross requirements to get net requirements:
• Net Requirements = Gross Requirements
                           + Allocated Inventory
  (scheduled receipts)
                           + Safety Stock
                           - Inventory On Hand
• Offset orders to allow for lead time
Outputs of MRP
• Planned order schedule - quantity of material
  to be ordered in each time period
• Changes to planned orders - modifications to
  previous planned orders
• Secondary outputs:
  – Exception reports
  – Performance reports
  – Planning reports
Lot Size
• Lot size rules determine:
  – the size of the order placed, and by
    extension the timing of orders,
  – the frequency of set-ups, and
  – the inventory holding costs for an item.

• Three types:
  – Fixed order quantity
  – Periodic order quantity
  – Lot for lot
MRP Lots
• Fixed order quantity (FOQ): a lot size rule
  with a constant order size where the same
  quantity is ordered every time
• Periodic order quantity (POQ): a lot size rule
  with a variable lot size designed to order
  exactly the amount required for a specified
  period of time
• Lot for lot (L4L): a lot size rule that is a special
  case of the periodic order quantity with the
  period equal to 1
MRP Record for Item C Using
the Lot-for-Lot (LFL) Rule
Capacity Requirements Planning (CRP)

• Tests MPS for feasibility
• Utilizes routings to determine labour/machine
  loads
• If schedule feasible, recommends freezing
• If schedule overloads resources, points out
  processes that are overscheduled
MRP to MRP II
• MRP simply exploded demand (MPS) into
  required materials
• MRP II became Manufacturing Resource
  Planning which provides a closed-loop
  business management system that
  integrates the material database with other
  functions
Evolution of MRP to
          Enterprise Resource Planning

• Manufacturing resource planning (MRP II): a
  system that links the basic MRP system to other
  company systems, including finance, accounting,
  purchasing, and logistics
• Enterprise resource planning (ERP): a system
  that provides a complete linkage of all functional
  areas of a business
   – Allows manufacturing to see new orders as soon as
     marketing or sales enters them into the system.
Enterprise Resource Planning
• Integration of all aspects of a business –
  accounting, customer relationship
  management, SCM, manufacturing, sales,
  human resources – into a unified information
  system.
• Principal vendors: SAP, Oracle, i2 Technologies
Operations Scheduling
Sequencing & Scheduling
• Sequencing refers to determining the order in
  which jobs or tasks are processed
• Scheduling refers to the assignment of start
  and completion times to particular jobs, people,
  or equipment.
Work-Center Scheduling Objectives



• Meet due dates

• Minimize lead time

• Minimize setup time or cost

• Minimize work-in-process inventory

• Maximize machine utilization
Priority Rules for Job Sequencing
Lateness & Tardiness
• Lateness and tardiness measure performance related to
  customer-focused due-date criteria.
• Lateness is the difference between the completion time and the
  due date (either positive or negative).
• Tardiness is the amount of time by which the completion time
  exceeds the due date. (Tardiness is defined as zero if the job is
  completed before the due date, and therefore no credit is given
  for completing a job early).
                       Li = Ci - Di
                       Ti = Max (0, Li)
where Li = lateness of job i
      Ti = tardiness of job i
      Di = due date of job i.
Chapter 14 Operations Scheduling and Sequencing


Single-Resource Sequencing Problem
•   In a serial manufacturing process, a bottleneck
    workstation controls the output of the entire process.
    Therefore, it is critical to schedule it efficiently.
•   With different processing times, SPT sequencing
    maximizes workstation utilization and minimizes average
    job flow time.
•   When processing times are relatively equal, first-come-
    first-serve sequencing is applied.
•   Using Earliest Due Date (EDD), the maximum job
    tardiness and lateness are minimized.
Example of Job Sequencing: First-Come First-Served

                                     Jobs (in order   Processing    Due Date
Suppose you have the four jobs         of arrival)    Time (days) (days hence)
to the right arrive for processing          A             4             5
on one machine                              B             7            10
                                            C             3             6
                                            D             1             4
What is the FCFS schedule?
                                           Do all the jobs get done on time?

    Answer: FCFS Schedule                                        No, Jobs B, C, and
                                                                 D are going to be
 Jobs (in order   Processing    Due Date Flow Time
                                                                 late
   of arrival)    Time (days) (days hence) (days)
        A             4             5        4
        B             7            10        11
        C             3             6        14
        D             1             4        15
Example of Job Sequencing: Shortest Operating Time


                                       Jobs (in order   Processing    Due Date
Suppose you have the four jobs           of arrival)    Time (days) (days hence)
to the right arrive for processing            A             4             5
on one machine                                B             7            10
                                              C             3             6
                                              D             1             4

What is the SOT schedule?                  Do all the jobs get done on time?

    Answer: Shortest Processing Time Schedule
 Jobs (in order    Processing    Due Date Flow Time             No, Jobs A and B
   of arrival)     Time (days) (days hence) (days)              are going to be
        D              1             4        1                 late
        C              3             6        4
        A              4             5        8
        B              7            10        15
Example of Job Sequencing: Earliest Due Date First


                                       Jobs (in order   Processing    Due Date
Suppose you have the four jobs           of arrival)    Time (days) (days hence)
to the right arrive for processing            A             4             5
on one machine                                B             7            10
                                              C             3             6
                                              D             1             4
What is the earliest due date first
schedule?                                  Do all the jobs get done on time?

            Answer: Earliest Due Date First
Jobs (in order     Processing    Due Date Flow Time                No, Jobs C and B
  of arrival)      Time (days) (days hence) (days)                 are going to be
       D               1             4        1                    late
       A               4             5        5
       C               3             6        8
       B               7            10        15
Example of Job Sequencing: Johnson’s Rule (Part 1)


Suppose you have the following five jobs with time requirements
in two stages of production. What is the job sequence using
Johnson’s Rule?

                                 Time in Hours
                 Jobs         Stage 1      Stage 2
                  A            1.50         1.25
                  B            2.00         3.00
                  C            2.50         2.00
                  D            1.00         2.00
Example of Job Sequencing: Johnson’s Rule (Part 2)

First, select the job with the
                                                                 Time in Hours
smallest time in either stage.
                                              Jobs            Stage 1      Stage 2
That is Job D with the smallest time           A               1.50         1.25
in the first stage. Place that job as          B               2.00         3.00
early as possible in the unfilled job          C               2.50         2.00
sequence below.                                D               1.00         2.00

Drop D out, select the next smallest time (Job A), and place it 4th in the job
sequence.
Drop A out, select the next smallest time. There is a tie in two stages for two
different jobs. In this case, place the job with the smallest time in the first stage
as early as possible in the unfilled job sequence.
Then place the job with the smallest time in the second stage as late as possible
in the unfilled sequence.
                   Job Sequence         1     2       3           4
                   Job Assigned         D         B       C        A
Make Span Time
• Make span time is the time needed to
  process a given set of jobs; a short make
  span aims to achieve high equipment
  utilization.
       M= C -S
where
M = makespan time of a group of jobs,
C = completion time of last job i in the
  group,
S = start time of first job i in the group.
Chapter 14 Operations Scheduling and Sequencing
Johnson’s Rule Exercise
•   In the following example, we assume that each job must
    be processed first on Resource #1 and then on Resource
    #2.
•   Hirsch Products manufactures custom parts that first
    require a shearing operation and then a punch-press
    operation. Order information is provided below.
                       Shear        Punch
             Job       (days)       (days)
              1           4            5
              2           4            1
              3          10            4
              4          6            10
              5           2            3
Gantt Chart for Hirsch Product Sequence By-
    the-Numbers Rule 1-2-3-4-5


If jobs are completed by order number, the punch press
oftentimes experiences idle time awaiting the next job as shown
below The makespan is 37 days.
Gantt Chart for Hirsch Product Sequence 5-1-4-3-2 Using
Johnson’s Rule

    Johnson’s Rule results in a reduction in makespan
    from 37 days to 27 days, as shown in the Gantt chart
    below.
Jobs A, B, C, D and E must go through Processes
 1 and 2 in that sequence. Use Johnson’s rule
to determine the optimal sequence in which to schedule
the jobs so as to minimize the total time required.


      Jobs         Process 1 time   Process 2 time

      A            4                5

      B            16               14

      C            8                7

      D            12               11

      E            3                9

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Aggregate Planning and Disaggregation for Operations

  • 1. Aggregate Planning (Sales and Operations Planning )
  • 3. Chapter 13 Resource Management Aggregate Planning Process • Aggregate planning is the development of a long- term output and resource plan in aggregate units of measure. • These typically define output levels over a planning horizon of 1 to 2 years, focusing on product families or total capacity requirements. • Aggregate planning later translates into monthly or quarterly production plans, taking into account capacity limitations such as supply availability, equipment, and labour.
  • 4. Stages in Operations Planning Process. • Level 2 planning, or disaggregation, is the process of translating aggregate plans into short-term operational plans that provide the basis for weekly and daily schedules and detailed resource requirements. • Level 3 focuses on execution, moving work from one workstation to another, assigning people to tasks, setting priorities for jobs, scheduling equipment, and controlling processes.
  • 5. Required Inputs to the Production Planning System
  • 6. t Aggregate Planning Decisions and Strategies • Demand Management: Management  The cooperation between marketing and manufacturing to create more feasible aggregate demands. • Production-Rate Changes:  Utilizing overtime, subcontracting during peak months. • Work-Force Changes:  Hiring and firing employees—often not a feasible alternative. • Inventory Smoothing:  Building inventories or carrying back orders. • Facilities and Equipment,  Typically a long-term investment, although companies can rent equipment for peak seasons.
  • 7. Aggregate Planning Process 1. Chase Approach: The capacities and output levels are adjusted to match demand requirements over the planning horizon • Advantages: Investment in inventory is low and Labour utilization is high Disadvantage: The cost adjusting output and capacities 2. Level Approach: Capacities are kept constant over the planning horizon. • Advantages:Stable output rate and work force levels Disadvantage: Greater inventory cost, Increased overtime and idle time and varying resource utilization
  • 8. Relevant Costs 1. Basic production costs • The fixed and variable costs incurred in producing a given product type in a given time period 2. Costs associated with changes in the production rate • Hiring, training, and laying off personnel 3. Inventory holding costs 4. Backorder costs
  • 9. General Procedure for Aggregate Planning 1. Determine the demand for each period 2. Determine the capacities (regular time, overtime, subcontracting) for each period 3. Identify pertinent company policies such as level of safety stock, stable workforce etc. 4. Determine unit costs for regular time, overtime, subcontracting, holding inventories, back orders, layoffs etc. 5. Develop alternative plans and compute the cost of each 6. If satisfactory plans emerge, select the one that best satisfies the objectives. Otherwise, return to step 5
  • 10. Techniques • Trial and error Techniques using graphs and spreadsheets • Linear Programming: Transportation model • Simulation Models
  • 11. Yield Management • Yield management: the process of allocating the right type of capacity to the right type of customer at the right price and time to maximize revenue or yield – Can be a powerful approach to making demand more predictable • Has existed as long as there has been limited capacity for serving customers • Its widespread scientific application began with American Airlines’ computerized reservation system (SABRE)
  • 12. Yield Management Most Effective When 1. Demand can be segmented by customer 2. Fixed costs are high and variable costs are low 3. Inventory is perishable 4. Product can be sold in advance 5. Demand is highly variable
  • 13. Chapter 13 Resource Management Disaggregation in Manufacturing • Disaggregation (Level 2) provides the link between aggregate plans developed at Level 1 and detailed execution at Level 3 • This provides the basis for detailed purchasing and production schedules for all of the components that comprise the finished good or support service delivery. • There are three major components for disaggregating aggregate plans into Level 2 plans.  Master production scheduling (MPS)  Materials requirement planning (MRP)  Capacity requirement planning (CRP)
  • 15. Material Requirements Planning (MRP) • MRP is a technique that has been employed since the 1940s and 1950s. • Joe Orlicky is known as the Father of MRP • The use and application of MRP grew through the 1970s and 1980s as the power of computer hardware and software increased. • MRP gradually evolved into a broader system called manufacturing resource planning (MRP II).
  • 16. What is MRP? • MRP: a computer-based system that develops plans for ordering and producing dependent demand items. • Material requirements plan: a plan that specifies the timing and size of new production orders, adjustments to existing order quantities, and expediting or delay of late/early orders
  • 17. MRP Inputs MRP utilizes two basic principles: 1. Requirements for dependent demand items are derived from the production schedule for their parents the items that are assembled from component parts). 2. The production order is offset to account for the lead time. • Developed through a combination of three inputs: 1. The Master Production Schedule 2. The Bill of Materials 3. Inventory Records
  • 18. Aggregate Forecasts Firm orders product of demand from known plan from random customers customers Engineering Master production Schedule (MPS) Inventory design transactions changes Material planning Bill of (MRP Inventory material computer record file file program) Secondary reports Primary reports Exception reports Planned order schedule for Planning reports inventory and production Reports for performance control control ©The McGraw-Hill Companies, Inc., 2004
  • 19. Master Production Schedule for a Family of Bicycles
  • 20. Key Aspects of Master Production Scheduling • The sums of the quantities in the MPS must equal those in the aggregate production plan. • Aggregate production quantities should be planned efficiently over time in order to minimize setup, production, and inventory costs. • Capacity limitations must be considered before finalizing the MPS, including labour and machine capacity, storage space, transportation equipment, and other factors.
  • 21. The Bill of Materials • Bill of materials (BOM): a document that specifies all assemblies, subassemblies, parts, and raw materials that are required to produce one unit of the finished product. It is also called the Product Structure
  • 22. Partial Bill of Materials for a Bicycle
  • 23. Inventory Records • Inventory record: a document that specifies order/lot size policy and lead time and records all transactions made for parts, assemblies, and components – Includes: transactions made for parts, assemblies, and components both from manufacturing within an organization and from purchasing items from external suppliers
  • 24. MRP Terminology • Gross requirements: the total number of units of a part or material derived from all parent production plans • Scheduled receipts: orders that have been placed but not yet received or completed • Projected on-hand inventory: the estimated inventory that will be available after the gross requirements have been satisfied, plus any planned or scheduled receipts for that time bucket
  • 25. MRP Terminology • Planned order receipts: future orders that which have not yet been released but are planned in order to avoid a shortage or backlog of inventory • Planned order release: when an order must be released in order to offset for the lead time so that the order will be received when planned • The difference between a planned and a scheduled receipt: a planned receipt is not firmly committed to and can be changed relatively easily up until the time the order is released. • As soon as the order is released, it becomes a scheduled order, which is much harder to change.
  • 26. MRP Computer Program • Begins with number of end items needed • Add service parts not included in MPS • Explode MPS into gross requirements by consulting bill of materials file • Modify gross requirements to get net requirements: • Net Requirements = Gross Requirements + Allocated Inventory (scheduled receipts) + Safety Stock - Inventory On Hand • Offset orders to allow for lead time
  • 27. Outputs of MRP • Planned order schedule - quantity of material to be ordered in each time period • Changes to planned orders - modifications to previous planned orders • Secondary outputs: – Exception reports – Performance reports – Planning reports
  • 28. Lot Size • Lot size rules determine: – the size of the order placed, and by extension the timing of orders, – the frequency of set-ups, and – the inventory holding costs for an item. • Three types: – Fixed order quantity – Periodic order quantity – Lot for lot
  • 29. MRP Lots • Fixed order quantity (FOQ): a lot size rule with a constant order size where the same quantity is ordered every time • Periodic order quantity (POQ): a lot size rule with a variable lot size designed to order exactly the amount required for a specified period of time • Lot for lot (L4L): a lot size rule that is a special case of the periodic order quantity with the period equal to 1
  • 30. MRP Record for Item C Using the Lot-for-Lot (LFL) Rule
  • 31. Capacity Requirements Planning (CRP) • Tests MPS for feasibility • Utilizes routings to determine labour/machine loads • If schedule feasible, recommends freezing • If schedule overloads resources, points out processes that are overscheduled
  • 32. MRP to MRP II • MRP simply exploded demand (MPS) into required materials • MRP II became Manufacturing Resource Planning which provides a closed-loop business management system that integrates the material database with other functions
  • 33. Evolution of MRP to Enterprise Resource Planning • Manufacturing resource planning (MRP II): a system that links the basic MRP system to other company systems, including finance, accounting, purchasing, and logistics • Enterprise resource planning (ERP): a system that provides a complete linkage of all functional areas of a business – Allows manufacturing to see new orders as soon as marketing or sales enters them into the system.
  • 34. Enterprise Resource Planning • Integration of all aspects of a business – accounting, customer relationship management, SCM, manufacturing, sales, human resources – into a unified information system. • Principal vendors: SAP, Oracle, i2 Technologies
  • 36. Sequencing & Scheduling • Sequencing refers to determining the order in which jobs or tasks are processed • Scheduling refers to the assignment of start and completion times to particular jobs, people, or equipment.
  • 37. Work-Center Scheduling Objectives • Meet due dates • Minimize lead time • Minimize setup time or cost • Minimize work-in-process inventory • Maximize machine utilization
  • 38. Priority Rules for Job Sequencing
  • 39. Lateness & Tardiness • Lateness and tardiness measure performance related to customer-focused due-date criteria. • Lateness is the difference between the completion time and the due date (either positive or negative). • Tardiness is the amount of time by which the completion time exceeds the due date. (Tardiness is defined as zero if the job is completed before the due date, and therefore no credit is given for completing a job early). Li = Ci - Di Ti = Max (0, Li) where Li = lateness of job i Ti = tardiness of job i Di = due date of job i.
  • 40. Chapter 14 Operations Scheduling and Sequencing Single-Resource Sequencing Problem • In a serial manufacturing process, a bottleneck workstation controls the output of the entire process. Therefore, it is critical to schedule it efficiently. • With different processing times, SPT sequencing maximizes workstation utilization and minimizes average job flow time. • When processing times are relatively equal, first-come- first-serve sequencing is applied. • Using Earliest Due Date (EDD), the maximum job tardiness and lateness are minimized.
  • 41. Example of Job Sequencing: First-Come First-Served Jobs (in order Processing Due Date Suppose you have the four jobs of arrival) Time (days) (days hence) to the right arrive for processing A 4 5 on one machine B 7 10 C 3 6 D 1 4 What is the FCFS schedule? Do all the jobs get done on time? Answer: FCFS Schedule No, Jobs B, C, and D are going to be Jobs (in order Processing Due Date Flow Time late of arrival) Time (days) (days hence) (days) A 4 5 4 B 7 10 11 C 3 6 14 D 1 4 15
  • 42. Example of Job Sequencing: Shortest Operating Time Jobs (in order Processing Due Date Suppose you have the four jobs of arrival) Time (days) (days hence) to the right arrive for processing A 4 5 on one machine B 7 10 C 3 6 D 1 4 What is the SOT schedule? Do all the jobs get done on time? Answer: Shortest Processing Time Schedule Jobs (in order Processing Due Date Flow Time No, Jobs A and B of arrival) Time (days) (days hence) (days) are going to be D 1 4 1 late C 3 6 4 A 4 5 8 B 7 10 15
  • 43. Example of Job Sequencing: Earliest Due Date First Jobs (in order Processing Due Date Suppose you have the four jobs of arrival) Time (days) (days hence) to the right arrive for processing A 4 5 on one machine B 7 10 C 3 6 D 1 4 What is the earliest due date first schedule? Do all the jobs get done on time? Answer: Earliest Due Date First Jobs (in order Processing Due Date Flow Time No, Jobs C and B of arrival) Time (days) (days hence) (days) are going to be D 1 4 1 late A 4 5 5 C 3 6 8 B 7 10 15
  • 44. Example of Job Sequencing: Johnson’s Rule (Part 1) Suppose you have the following five jobs with time requirements in two stages of production. What is the job sequence using Johnson’s Rule? Time in Hours Jobs Stage 1 Stage 2 A 1.50 1.25 B 2.00 3.00 C 2.50 2.00 D 1.00 2.00
  • 45. Example of Job Sequencing: Johnson’s Rule (Part 2) First, select the job with the Time in Hours smallest time in either stage. Jobs Stage 1 Stage 2 That is Job D with the smallest time A 1.50 1.25 in the first stage. Place that job as B 2.00 3.00 early as possible in the unfilled job C 2.50 2.00 sequence below. D 1.00 2.00 Drop D out, select the next smallest time (Job A), and place it 4th in the job sequence. Drop A out, select the next smallest time. There is a tie in two stages for two different jobs. In this case, place the job with the smallest time in the first stage as early as possible in the unfilled job sequence. Then place the job with the smallest time in the second stage as late as possible in the unfilled sequence. Job Sequence 1 2 3 4 Job Assigned D B C A
  • 46. Make Span Time • Make span time is the time needed to process a given set of jobs; a short make span aims to achieve high equipment utilization. M= C -S where M = makespan time of a group of jobs, C = completion time of last job i in the group, S = start time of first job i in the group.
  • 47. Chapter 14 Operations Scheduling and Sequencing Johnson’s Rule Exercise • In the following example, we assume that each job must be processed first on Resource #1 and then on Resource #2. • Hirsch Products manufactures custom parts that first require a shearing operation and then a punch-press operation. Order information is provided below. Shear Punch Job (days) (days) 1 4 5 2 4 1 3 10 4 4 6 10 5 2 3
  • 48. Gantt Chart for Hirsch Product Sequence By- the-Numbers Rule 1-2-3-4-5 If jobs are completed by order number, the punch press oftentimes experiences idle time awaiting the next job as shown below The makespan is 37 days.
  • 49. Gantt Chart for Hirsch Product Sequence 5-1-4-3-2 Using Johnson’s Rule Johnson’s Rule results in a reduction in makespan from 37 days to 27 days, as shown in the Gantt chart below.
  • 50. Jobs A, B, C, D and E must go through Processes 1 and 2 in that sequence. Use Johnson’s rule to determine the optimal sequence in which to schedule the jobs so as to minimize the total time required. Jobs Process 1 time Process 2 time A 4 5 B 16 14 C 8 7 D 12 11 E 3 9