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COMPARATIVE CHARACTERISTICS OF PERT AND CPM PERT For management of new projects Model under uncertainty Time Event oriented CPM For management of repetitive projects. Model under certainty Time versus cost trade-off Activity oriented.
DEFINITION  :  These are the methods to minimize trouble spots such as production bottlenecks, delays, interruptions etc. by identifying the key/critical activities before they occur so that the over-all project can be coordinated more effectively. NETWORK TECHNIQUES PERT: PROGRAM  EVALUATION AND REVIEW  TECHNIQUE CPM: CRITICAL PATH METHOD GERT: GRAPH  EVALUATION AND REVIEW TECHNIQUE PDM: PRECEDENCE DIAGRAMMING METHOD DCPM: DECISION CRITICAL PATH METHOD
A GANTT MILESTONE CHART JOB A JOB B JOB C  M  T  W  T  F  S  S  M  T  W  T  F  S REVIEW LIMITATIONS FAILURE TO SHOW  INTER-RELATIONS FAILURE TO PREDICT THE LIKELIHOOD OF MEETING THE  DUE DATE .
3 1 2 4 6 5 1 2 4 6 5 3 1 2 4 6 5 3 JOB  A JOB  B JOB  C STAGE I STAGE II 1 2 4 6 5 3 2 3 3 1 2 6 5 2 STAGE III TIME TIME JOB  A JOB  B JOB  C TIME
STEPS INVOLVED IN USING THE NETWORK TECHNIQUES Divide the given project into independent activities. Estimate their times/and costs. Identify the immediate  predecessor(s). Check and remove redundant predecessor(s). Draw the network. Analysis and calculations.
ACTIVITY   ACTIVITY   IMMEDIATE IDENTIFICATION   DESCRIPTION   PREDECESSOR{S} a   CUT THE TOP    - b  MAKE THE LEGS     - c  LAMINATION   a d   MAKE THE STAND   b   e   FINAL ASSEMBLY   c,d f    FINAL POLISHING ETC.   e MAKING A DINING TABLE
START a b f e d c FINISH 3 2 5 4 6 e f AN ARROW  DIAGRAM a b c d 1 AON  DIAGRAM
BUDGETING PROJECT – ABC COMPANY JOB   JOB   IMMEDIATE IDENTIFICATION   DESCRIPTION   PREDECESSOR(S)   a   FORECASTING SALES  -   b  PRICING     a c   PREPARING PRODUCTION  a   SCHEDULES   d   COSTING THE PRODUCTION   c e   PREPARING THE BUDGET  b,d
4 5 2 3 1 a b c d e
BUDGETING PROJECT – (REVISED) JOB   JOB   IMMEDIATE IDENTIFICATION   DESCRIPTION   PREDECESSOR(S)   a   FORECASTING SALES   -   a /   SURVEYING COMPETITIVE   -   PRICING   b  PRICING     a,a / c   PREPARING PRODUCTION  a   SCHEDULES   d   COSTING THE PRODUCTION   c e   PREPARING THE BUDGET   b,d
Whenever there are two or more jobs which  have some but not all  their predecessors in common, the use of dummy activity/activities will be necessitated. Two or more jobs cannot start and end at the same events respectively.
3 7 6 5 1 a a' c b D 1 D 2 d e 3 6 5 a a’ b d e c 1 2 2 4 4 D 1
3 a b D 1 e c 2 1 4 2 5 a b d e c 3 1 5 6 D 2 d 3 a b e c 2 1 4 5 D 2 d D 1 D 1 D 2 4
T-3 (6, 4) T-4 (18, 3) T-5 (13, 1) T-6 (16, 3) T-7 (17, 3) T-8 (14, 1) T-9 (20, 1) T-10 (21, 3) T-11 (10, -) T-12 (21, 6) T-13 (15, 5) T-14 (16, 3)
2 6 2 3 1 1 4 5 8 5 4 7 1 1 3 3½ 2 ½ 1½ 0 0 5 7 13½ 8 11 1 ½ 13½ 4 9.½ 9½ 4 7 8 CRITICAL PATH IS  6½ 8½ 6 6 LEGEND/KEY T E T L EV.NO 1  1
EARLIEST EVENT TIME AT AN EVENT IS THE EARLIEST TIME AT WHICH THE WORK ON THE ACITIVITY/ACTIVITIES ORIGINATING FROM THAT EVENT CAN BE  STARTED. LATEST EVENT TIME AT AN EVENT IS THE LATEST TIME AT WHICH THE WORK ON THE ACTIVITY/ ACTIVITIES CONVERGING AT THAT EVENT MUST BE FULLY ACCOMPLISHED.
TOTAL FLOAT IS THE MAXIMUM DURATION BY WHICH A NON-CRITICAL ACTIVITY CAN BE EXTENDED WITHOUT  DELAYING THE PROJECT.  FREE FLOAT (EARLY) IS THE LEEWAY AVAILABLE TO A NON-CRITICAL ACTIVITY IF EVERY OPERATION IN THE PROJECT IS BEING SCHEDULED AT THE EARLIEST POSSIBLE POINT IN TIME.
INDEPENDENT FLOAT MAY BE DEFINED AS MINIMUM ACTIVITY FLOAT OR FLOAT AVAILABLE UNDER WORST CONDITIONS. FREE FLOAT (LATE) IS THE LEEWAY AVAILABLE TO A NON-CRITICAL ACTIVITY IF EVERY  OPERATION IN THE PROJECT IS BEING SCHEDULED AT THE LATEST POSSIBLE POINT IN TIME.
4 6 2 3 1 5 7 8 t e  = 4 t e  = 2 t e  = 3 t e  = 1 t e  = 7 t e  = 10 t e  = 2 t e  = 9 t e  = 6 t e  = 5 v t  = 1 v t  = 1 v t  = 1 v t  = 1 v t  = 1 v t  = 1 v t  = 16 v t = 8 v t  = 2 v t  = 5
COSTS ASSOCIATED WITH A PROJECT INDIRECT COSTS 1. MANAGERIAL SERVICES 2. EQUIPMENT RENTALS 3. ALLOCATION OF FIXED COSTS 4. UTILITY COSTS 5. STORAGE COSTS CRASH NORMAL JOB DURATION PROJECT DURATION INDIRECT COSTS DIRECT COST OF JOB
THE PRESIDENT OF ABC MANUFACTURING COMPANY HAS AN OPPORTUNITY TO PARTICIPATE IN A PROJECT THAT HAS A SALES PRICE OF RS.90,000 BUT IT MUST BE COMPLETED WITHIN 8 WEEKS. THE LETTER OF INTENT WAS RECEIVED FRIDAY AFTERNOON. BOTH THE PRODUCTION MANAGER AND THE COST ACCOUNTANT CAME IN ON SATURDAY AND COMPLETED THE APPROPRIATE TIME AND COST FOR YOU BASED UPON PAST JOBS. SINCE THE PRESIDENT NEEDS AN ANSWER AT 8:30 A.M. ON MONDAY (START  OF THE 8 WEEKS), YOU HAVE BEEN REQUESTED TO DETERMINE THE PROFITABILITY OF THE PROJECT ON AN 8 WEEKS BASIS. AN ANSWER AT 8:30 A.M. ON MONDAY ALLOWS THE FIRM TO START THE PRODUCTION ORDER AT 10:00 A.M. IN ORDER TO STAY WITHIN THE 8 WEEKS DEMANDED BY THE CUSTOMER. THE TIME AND COST UNDER NORMAL CONDITIONS WITHOUT CRASHING THE PROJECT IS BASED UPON ON 11 WEEKS BASIS. WHAT ANSWER SHOULD THE PRESIDENT GIVE TO THE CUSTOMER ON MONDAY MORNING? A TABLE OF TIMES AND COSTS IS AS FOLLOWS:
  PRECEDING    NORMAL  CRASH EVENT   EVENT ________________   ________________ TIME   COST   TIME  COST   (WEEKS)   (RS.)   (WEEKS)  (RS.)   4   1 2 8,000   1   13,000   2  1 3 7,000   1   19,000   3   1 6  11,000   5   13,000   4   2 4 6,000   3   10,000   3   2   2 9,000   1   10,000   5   2 7 8,500   6   11,000   5   4 4  10,000   3   16,000   5   3 3 5,000   2   7,000
INDIRECT COST PER DAY IS RS.30. DETERMINE THE OPTIMAL TIME VERSUS COST SCHEDULE.   FOR THE FOLLOWING PROJECT ACTIVITY  PREDECESSOR    NORMAL  CRASH IDENTIFI-  ACTIVITIES  ________________   ________________ CATION  TIME   COST   TIME  COST   (DAYS)   (RS.)   (DAYS)  (RS.)   a   - 2 30   1   50   b  - 4 50   3   70   c   - 4 40    2   100   d   a,b 4 35   4   35   e   b,c  8 75   6   150   f   c 2 60   1   90   g   d 6 40   4   90   h   g,e,f 12 160   7   260   i   h  6 100   4   200
LIMITATIONS OF NETWORK TECHNIQUES. BREAKING THE PROJECT INTO INDEPENDENT ACTIVITIES. TECHNIQUES ARE BASED ON NON-CYCLIC NETWORKS  I.E. CAN NOT ACCOUNT FOR FAILURES. ACTIVITY TIME ESTIMATES ARE ASSUMED TO BE INDEPENDENT. NO RESOURCE LIMITATION.
3 5 A B E D 1 2 10 4 10/10 0/0 15/15 25/25 6 10 5 C 9 days B 6 1 2 3 A C E 10 5 10 4 D 11 DAYS 4 V V V
BASIC CONCEPTS OF NETWORK COST SYSTEMS THE BASIC CONCEPT OF PERT AND CPM COST SYSTEMS (PERT/COST) IS THAT THE COSTS ARE TO BE  MEASURED AND CONTROLLED PRIMARILY ON A PROJECT BASIS RATHER THAN ACCORDING TO THE FUNCTIONAL ORGANISATION OF A FIRM. INDIVIDUAL ACTIVITIES OR GROUPS OF ACTIVITIES FORM MICRO COST CENTRES FOR ACCOUNTING AND MANAGEMENT CONTROL PURPOSES, RATHER THAN  ORGANISATIONAL UNITS, i.e. DIVISIONS, DEPARTMENTS, SECTIONS ETC. PROJECT MANAGERS AND SUB-MANAGERS ARE ORDINARILY CHOSEN FOR SUPERVISING ACTIVITIES OR GROUPS OF ACTIVITIES. THE RATIONALE BEING THAT RESPONSIBILITY FOR EXPENDITURE SHOULD COINCIDE WITH RESPONSIBILITY FOR MANAGING WHICH GIVES RISE TO THE EXPENDITURE AND SINCE THEY ARE RESPONSIBLE FOR SEEING THAT ACTIVITIES ARE COMPLETED ON SCHEDULE, THEY SHOULD ALSO BE RESPONSIBLE FOR CONTROLLABLE COSTS ASSOCIATED WITH ACTIVITIES. COST OVERRUNS ARE MORE EASILY DETECTED AND CORRECTIVE ACTION MORE READILY TAKEN.
If the indirect cost per week is Rs.400, determine the optimal project duration.   NEW PRODUCT LAUNCH In planning a project to introduce a new product in the market, a company lists the various activities, their normal times and costs and their crash times and costs as shown in the table below:  Activity Description  Immediate  Normal  Crash     predecessor(s)      Time  Cost  Time  Cost   (weeks)  (Rs.)  (weeks)  (Rs.)   A Product  - 5 1000  4  1200 design    B Market  - 2   600  2  600 research   C Product  A 4   800  3  1000  analysis   D Product A  4 1000  3  1500 model   E Sales A  3 1100  1  1600 brochure   F Cost C 1   700  1  700 accounting   G Product D 4   800  2  1260 testing   H Sales  B,E 5   900  3  1200 survey     I Price an H  2   850  2  850 demand report   J Project F,G,I  3   750  2  1000 report

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Comparative characteristics of pert and cpm

  • 1. COMPARATIVE CHARACTERISTICS OF PERT AND CPM PERT For management of new projects Model under uncertainty Time Event oriented CPM For management of repetitive projects. Model under certainty Time versus cost trade-off Activity oriented.
  • 2. DEFINITION : These are the methods to minimize trouble spots such as production bottlenecks, delays, interruptions etc. by identifying the key/critical activities before they occur so that the over-all project can be coordinated more effectively. NETWORK TECHNIQUES PERT: PROGRAM EVALUATION AND REVIEW TECHNIQUE CPM: CRITICAL PATH METHOD GERT: GRAPH EVALUATION AND REVIEW TECHNIQUE PDM: PRECEDENCE DIAGRAMMING METHOD DCPM: DECISION CRITICAL PATH METHOD
  • 3. A GANTT MILESTONE CHART JOB A JOB B JOB C M T W T F S S M T W T F S REVIEW LIMITATIONS FAILURE TO SHOW INTER-RELATIONS FAILURE TO PREDICT THE LIKELIHOOD OF MEETING THE DUE DATE .
  • 4. 3 1 2 4 6 5 1 2 4 6 5 3 1 2 4 6 5 3 JOB A JOB B JOB C STAGE I STAGE II 1 2 4 6 5 3 2 3 3 1 2 6 5 2 STAGE III TIME TIME JOB A JOB B JOB C TIME
  • 5. STEPS INVOLVED IN USING THE NETWORK TECHNIQUES Divide the given project into independent activities. Estimate their times/and costs. Identify the immediate predecessor(s). Check and remove redundant predecessor(s). Draw the network. Analysis and calculations.
  • 6. ACTIVITY ACTIVITY IMMEDIATE IDENTIFICATION DESCRIPTION PREDECESSOR{S} a CUT THE TOP - b MAKE THE LEGS - c LAMINATION a d MAKE THE STAND b e FINAL ASSEMBLY c,d f FINAL POLISHING ETC. e MAKING A DINING TABLE
  • 7. START a b f e d c FINISH 3 2 5 4 6 e f AN ARROW DIAGRAM a b c d 1 AON DIAGRAM
  • 8. BUDGETING PROJECT – ABC COMPANY JOB JOB IMMEDIATE IDENTIFICATION DESCRIPTION PREDECESSOR(S) a FORECASTING SALES - b PRICING a c PREPARING PRODUCTION a SCHEDULES d COSTING THE PRODUCTION c e PREPARING THE BUDGET b,d
  • 9. 4 5 2 3 1 a b c d e
  • 10. BUDGETING PROJECT – (REVISED) JOB JOB IMMEDIATE IDENTIFICATION DESCRIPTION PREDECESSOR(S) a FORECASTING SALES - a / SURVEYING COMPETITIVE - PRICING b PRICING a,a / c PREPARING PRODUCTION a SCHEDULES d COSTING THE PRODUCTION c e PREPARING THE BUDGET b,d
  • 11. Whenever there are two or more jobs which have some but not all their predecessors in common, the use of dummy activity/activities will be necessitated. Two or more jobs cannot start and end at the same events respectively.
  • 12. 3 7 6 5 1 a a' c b D 1 D 2 d e 3 6 5 a a’ b d e c 1 2 2 4 4 D 1
  • 13. 3 a b D 1 e c 2 1 4 2 5 a b d e c 3 1 5 6 D 2 d 3 a b e c 2 1 4 5 D 2 d D 1 D 1 D 2 4
  • 14. T-3 (6, 4) T-4 (18, 3) T-5 (13, 1) T-6 (16, 3) T-7 (17, 3) T-8 (14, 1) T-9 (20, 1) T-10 (21, 3) T-11 (10, -) T-12 (21, 6) T-13 (15, 5) T-14 (16, 3)
  • 15. 2 6 2 3 1 1 4 5 8 5 4 7 1 1 3 3½ 2 ½ 1½ 0 0 5 7 13½ 8 11 1 ½ 13½ 4 9.½ 9½ 4 7 8 CRITICAL PATH IS 6½ 8½ 6 6 LEGEND/KEY T E T L EV.NO 1 1
  • 16. EARLIEST EVENT TIME AT AN EVENT IS THE EARLIEST TIME AT WHICH THE WORK ON THE ACITIVITY/ACTIVITIES ORIGINATING FROM THAT EVENT CAN BE STARTED. LATEST EVENT TIME AT AN EVENT IS THE LATEST TIME AT WHICH THE WORK ON THE ACTIVITY/ ACTIVITIES CONVERGING AT THAT EVENT MUST BE FULLY ACCOMPLISHED.
  • 17. TOTAL FLOAT IS THE MAXIMUM DURATION BY WHICH A NON-CRITICAL ACTIVITY CAN BE EXTENDED WITHOUT DELAYING THE PROJECT. FREE FLOAT (EARLY) IS THE LEEWAY AVAILABLE TO A NON-CRITICAL ACTIVITY IF EVERY OPERATION IN THE PROJECT IS BEING SCHEDULED AT THE EARLIEST POSSIBLE POINT IN TIME.
  • 18. INDEPENDENT FLOAT MAY BE DEFINED AS MINIMUM ACTIVITY FLOAT OR FLOAT AVAILABLE UNDER WORST CONDITIONS. FREE FLOAT (LATE) IS THE LEEWAY AVAILABLE TO A NON-CRITICAL ACTIVITY IF EVERY OPERATION IN THE PROJECT IS BEING SCHEDULED AT THE LATEST POSSIBLE POINT IN TIME.
  • 19. 4 6 2 3 1 5 7 8 t e = 4 t e = 2 t e = 3 t e = 1 t e = 7 t e = 10 t e = 2 t e = 9 t e = 6 t e = 5 v t = 1 v t = 1 v t = 1 v t = 1 v t = 1 v t = 1 v t = 16 v t = 8 v t = 2 v t = 5
  • 20. COSTS ASSOCIATED WITH A PROJECT INDIRECT COSTS 1. MANAGERIAL SERVICES 2. EQUIPMENT RENTALS 3. ALLOCATION OF FIXED COSTS 4. UTILITY COSTS 5. STORAGE COSTS CRASH NORMAL JOB DURATION PROJECT DURATION INDIRECT COSTS DIRECT COST OF JOB
  • 21. THE PRESIDENT OF ABC MANUFACTURING COMPANY HAS AN OPPORTUNITY TO PARTICIPATE IN A PROJECT THAT HAS A SALES PRICE OF RS.90,000 BUT IT MUST BE COMPLETED WITHIN 8 WEEKS. THE LETTER OF INTENT WAS RECEIVED FRIDAY AFTERNOON. BOTH THE PRODUCTION MANAGER AND THE COST ACCOUNTANT CAME IN ON SATURDAY AND COMPLETED THE APPROPRIATE TIME AND COST FOR YOU BASED UPON PAST JOBS. SINCE THE PRESIDENT NEEDS AN ANSWER AT 8:30 A.M. ON MONDAY (START OF THE 8 WEEKS), YOU HAVE BEEN REQUESTED TO DETERMINE THE PROFITABILITY OF THE PROJECT ON AN 8 WEEKS BASIS. AN ANSWER AT 8:30 A.M. ON MONDAY ALLOWS THE FIRM TO START THE PRODUCTION ORDER AT 10:00 A.M. IN ORDER TO STAY WITHIN THE 8 WEEKS DEMANDED BY THE CUSTOMER. THE TIME AND COST UNDER NORMAL CONDITIONS WITHOUT CRASHING THE PROJECT IS BASED UPON ON 11 WEEKS BASIS. WHAT ANSWER SHOULD THE PRESIDENT GIVE TO THE CUSTOMER ON MONDAY MORNING? A TABLE OF TIMES AND COSTS IS AS FOLLOWS:
  • 22. PRECEDING NORMAL CRASH EVENT EVENT ________________ ________________ TIME COST TIME COST (WEEKS) (RS.) (WEEKS) (RS.) 4 1 2 8,000 1 13,000 2 1 3 7,000 1 19,000 3 1 6 11,000 5 13,000 4 2 4 6,000 3 10,000 3 2 2 9,000 1 10,000 5 2 7 8,500 6 11,000 5 4 4 10,000 3 16,000 5 3 3 5,000 2 7,000
  • 23. INDIRECT COST PER DAY IS RS.30. DETERMINE THE OPTIMAL TIME VERSUS COST SCHEDULE. FOR THE FOLLOWING PROJECT ACTIVITY PREDECESSOR NORMAL CRASH IDENTIFI- ACTIVITIES ________________ ________________ CATION TIME COST TIME COST (DAYS) (RS.) (DAYS) (RS.) a - 2 30 1 50 b - 4 50 3 70 c - 4 40 2 100 d a,b 4 35 4 35 e b,c 8 75 6 150 f c 2 60 1 90 g d 6 40 4 90 h g,e,f 12 160 7 260 i h 6 100 4 200
  • 24. LIMITATIONS OF NETWORK TECHNIQUES. BREAKING THE PROJECT INTO INDEPENDENT ACTIVITIES. TECHNIQUES ARE BASED ON NON-CYCLIC NETWORKS I.E. CAN NOT ACCOUNT FOR FAILURES. ACTIVITY TIME ESTIMATES ARE ASSUMED TO BE INDEPENDENT. NO RESOURCE LIMITATION.
  • 25. 3 5 A B E D 1 2 10 4 10/10 0/0 15/15 25/25 6 10 5 C 9 days B 6 1 2 3 A C E 10 5 10 4 D 11 DAYS 4 V V V
  • 26. BASIC CONCEPTS OF NETWORK COST SYSTEMS THE BASIC CONCEPT OF PERT AND CPM COST SYSTEMS (PERT/COST) IS THAT THE COSTS ARE TO BE MEASURED AND CONTROLLED PRIMARILY ON A PROJECT BASIS RATHER THAN ACCORDING TO THE FUNCTIONAL ORGANISATION OF A FIRM. INDIVIDUAL ACTIVITIES OR GROUPS OF ACTIVITIES FORM MICRO COST CENTRES FOR ACCOUNTING AND MANAGEMENT CONTROL PURPOSES, RATHER THAN ORGANISATIONAL UNITS, i.e. DIVISIONS, DEPARTMENTS, SECTIONS ETC. PROJECT MANAGERS AND SUB-MANAGERS ARE ORDINARILY CHOSEN FOR SUPERVISING ACTIVITIES OR GROUPS OF ACTIVITIES. THE RATIONALE BEING THAT RESPONSIBILITY FOR EXPENDITURE SHOULD COINCIDE WITH RESPONSIBILITY FOR MANAGING WHICH GIVES RISE TO THE EXPENDITURE AND SINCE THEY ARE RESPONSIBLE FOR SEEING THAT ACTIVITIES ARE COMPLETED ON SCHEDULE, THEY SHOULD ALSO BE RESPONSIBLE FOR CONTROLLABLE COSTS ASSOCIATED WITH ACTIVITIES. COST OVERRUNS ARE MORE EASILY DETECTED AND CORRECTIVE ACTION MORE READILY TAKEN.
  • 27. If the indirect cost per week is Rs.400, determine the optimal project duration. NEW PRODUCT LAUNCH In planning a project to introduce a new product in the market, a company lists the various activities, their normal times and costs and their crash times and costs as shown in the table below: Activity Description Immediate Normal Crash predecessor(s) Time Cost Time Cost (weeks) (Rs.) (weeks) (Rs.) A Product - 5 1000 4 1200 design B Market - 2 600 2 600 research C Product A 4 800 3 1000 analysis D Product A 4 1000 3 1500 model E Sales A 3 1100 1 1600 brochure F Cost C 1 700 1 700 accounting G Product D 4 800 2 1260 testing H Sales B,E 5 900 3 1200 survey I Price an H 2 850 2 850 demand report J Project F,G,I 3 750 2 1000 report