CMA Intermediate · Operations Management and Strategic Management
Control Measures - Time and Motion Study, Method Study, Work Study: formula sheet
Key formulas
- Work study structure
- Work study = Method study + Work measurement
- Method study decides how the job is done. Work measurement decides how long it should take.
- Basic procedure (SREDDIM)
- Select → Record → Examine → Develop → Define → Install → Maintain
- A common seven-step version. Some books combine steps. Learn the order and give a one-line purpose for each.
- Productivity
- Productivity = Output ÷ Input
- Work study raises this ratio by cutting wasted input or raising output.
- Method study procedure (order of steps)
- Select → Record → Examine → Develop → Define → Install → Maintain
- Learn the sequence as written. A common memory line: Some Real Experts Develop Defined Improved Methods.
- Critical examination: primary questions
- Purpose (What is done? Why?) · Place (Where? Why?) · Sequence (When? Why?) · Person (Who? Why?) · Means (How? Why?)
- Primary questions establish the facts of the activity. Ask Why? of each answer to test whether it is really needed.
- Critical examination: secondary questions
- What else could be done? · Where else? · When else? · Who else? · How else?
- Secondary questions explore alternatives so that you can select the best option. Follow them with the ECRS idea: Eliminate, Combine, Rearrange, Simplify.
- Percentage saving from a new method
- Saving % = (Old cost or time − New cost or time) ÷ Old cost or time × 100
- Use to show the benefit of the improved method. Use the same unit for old and new.
- Operation
- Symbol: circle (○)
- Value-adding step where material is changed or assembled. Also used for preparing or giving information.
- Transport
- Symbol: arrow (→)
- Movement of worker, material or equipment from one place to another, except during an operation.
- Inspection
- Symbol: square (□)
- Checking quality or quantity against a standard.
- Delay (temporary storage)
- Symbol: D
- Unplanned wait where the next step cannot start immediately.
- Storage (permanent)
- Symbol: inverted triangle (▽)
- Material is held and needs authorisation to be issued.
- Combined activity
- Symbol: circle inside a square (⊙ in □)
- Operation and inspection done together by the same person at the same place.
- Chart choice rule
- Sequence → process charts; path of movement → flow or string diagram; timing of several subjects → multiple activity chart; hand motions → SIMO chart
- Use this to pick the tool in any question.
- Machine utilisation on activity chart
- Utilisation % = Machine working time ÷ Cycle time × 100
- Applies to a multiple activity chart where the cycle time is the same for every subject.
- Therblig groups
- Therbligs = Effective (productive) + Ineffective (non-productive)
- Effective: reach, grasp, move, position, pre-position, assemble, use, disassemble, inspect, release load. Ineffective: search, select, plan, hold, rest, avoidable delay. Aim: shorten the first, eliminate the second.
- Principles of motion economy: three heads
- Human body + Workplace layout + Tools and equipment
- Write every principle under one of these three heads in an answer.
- Human body principles
- Both hands start and end together; arms move in opposite, symmetrical directions; hands not idle except in rest
- Use the lowest classification of movement that does the job (fingers, then wrist, forearm, upper arm, shoulder, body). Smooth curved motions are better than sharp straight-line changes of direction.
- Workplace principles
- Fixed place for tools and materials; tools and materials pre-positioned and within normal working area
- Use gravity feed bins and drop delivery, proper lighting and a chair of the right height.
- Tools and equipment principles
- Combine tools; pre-position tools; share load among fingers by their strength
- Use jigs and fixtures to hold work; use foot-operated devices to free the hands.
- Basic time (normal time)
- Basic time = Observed time × Rating ÷ Standard rating
- If standard rating is 100, basic time = observed time × rating ÷ 100. Rating above standard increases basic time.
- Standard time
- Standard time = Basic time + Allowances
- If allowance is a percentage of basic time: Standard time = Basic time × (1 + allowance %).
- Allowance as percentage of total (gross) time
- Standard time = Basic time ÷ (1 − allowance % of standard time)
- Use this only when the question states the allowance as a percentage of the standard (total) time.
- Number of observations (sample size)
- Number of observations is chosen from the variation seen in a trial set of readings
- More variable elements need more readings. Use only the method given in the question.
- Work sampling: percentage of activity
- Activity % = Observations of the activity ÷ Total observations × 100
- Time for the activity = Activity % × total time period studied.
- Standard output
- Standard output per period = Available time ÷ Standard time per unit
- Use consistent units, such as minutes per unit and minutes per shift.
- Normal time (basic time rated)
- Normal time = Observed time × (Rating ÷ 100)
- Rating is on a scale where 100 is normal pace. Apply it to each element's time.
- Standard time with allowance as % of normal time
- Standard time = Normal time × (1 + Allowance %)
- Use when the question says allowance is a percentage of normal time.
- Standard time with allowance as % of standard time
- Standard time = Normal time ÷ (1 − Allowance %)
- Use when allowance is stated as a percentage of the total (standard) time, or of the working day.
- Average observed time
- Average observed time = Σ observations ÷ number of observations
- Do this first if several readings are given for an element. Exclude abnormal readings if the question tells you to.
- Standard time of a job
- Job standard time = Σ standard time of all elements
- Add elements after rating and allowances. Add any contingency or fatigue allowance as the question states.
Quick revision
- Work study = method study + work measurement.
- Method study aims to find a better, simpler and cheaper way of doing a job.
- Method study steps run from selecting the job to installing and maintaining the new method.
- Recording tools include outline process chart, flow process chart, flow diagram and two-handed chart.
- Motion study examines body movements to remove unnecessary effort.
- Principles of motion economy cover the body, the workplace and tools and equipment.
- Time study is a work measurement technique that uses a stopwatch on a sample of the work.
- Basic time = observed time × rating ÷ 100.
- Standard time = basic time + allowances.
- Allowances cover personal needs, fatigue and unavoidable delays.
- Rating is applied to observed time to get basic time, not to allowances.
- Allowances are normally a percentage of basic time. If the question gives them as a percentage of standard (total) time, use standard time = basic time ÷ (1 − allowance %). Read the question for the base.
Common mistakes
- Treating work study and method study as the same thing. Fix: Remember that method study is only one half. Work study also includes work measurement.
- Saying work measurement comes before method study. Fix: Improve the method first, then set the standard time for the improved method.
- Writing the steps in the wrong order, for example examine before record. Fix: Remember that you cannot judge a method before you have recorded it. Practise the sequence until it is automatic.
- Mixing method study with time study. Fix: Method study decides how to do the job. Time study or work measurement decides how long it should take. Do not put rating or allowances in a method study answer.
- Showing transport, delay and storage in an operation process chart. Fix: Remember that the operation process chart has only operations and inspections. Flow process chart adds the other three.
- Calling a flow diagram and a string diagram the same thing. Fix: A flow diagram draws the path as lines with symbols. A string diagram uses thread to measure the distance and frequency of movement.
- Treating motion study and time study as the same thing. Fix: Motion study improves the method by removing wasteful movements. Time study measures the time for a job. Motion study is part of method study; time study is part of work measurement.
- Calling hold or rest an effective therblig. Fix: Remember that hold, rest, search, select, plan and avoidable delay do not move the job forward. Treat them as ineffective and try to eliminate or reduce them.
- Treating observed time as standard time. Fix: Always write the chain: observed time, basic time, standard time.
- Applying rating in the wrong direction. Fix: A worker faster than standard has a rating above 100, so basic time is higher than observed time.
Exam tips
- Always mention both method study and work measurement, even if the question only says 'work study'.
- In 'distinguish' questions, use a two-column comparison in points: purpose, focus, output, tools. Keep it in plain lines if space is short.
- For MCQs, 'standard time' points to work measurement and 'best method' points to method study.
- Add one practical example from a factory or an office to lift a theory answer.
- Write the procedure steps in order, with one line of purpose each.
- Write the seven steps as a numbered list with short explanations. Examiners look for the sequence and for a line on each step.
- In case questions, tie each step to the facts given, such as layout, distance or number of operators.
- Show a small calculation of saving if figures are given, using the old and new method values.