Resource Allocation

Match resources to the schedule by computing requirements from productivity, then smooth peaks by resource levelling (within available float, keeping the duration) or resource allocation (accepting a longer duration when resources are limited).

Key formulas & points

Skim these first — then read the full notes below.

  • Material procurement lead time affects schedule
  • Line of balance for repetitive projects (high-rise, pipeline)
  • SMART goals for resource-constrained scheduling

Topic details

Introduction

Resource allocation ensures the manpower, plant and materials needed by the schedule are available when required, and that their use is efficient. Requirements are computed from the work quantities and productivity rates.

Scope in B.Tech and GATE syllabus

The resource histogram derived from the schedule often shows uneven peaks and troughs, which are wasteful (idle resources) and impractical (peaks exceeding availability). Resource levelling smooths this profile within the available float without extending the project, while resource-constrained scheduling (allocation) accepts a longer duration when resources are strictly limited.

Why this topic matters in practice

For repetitive work (multi-storey buildings, pipelines, roads) the line-of-balance technique schedules crews to move steadily from unit to unit, maximising continuity and productivity. Material procurement lead times must be planned so deliveries match the construction sequence.

Key relations & formulas

Labourrequirement=quantity/Labour requirement = quantity /
(productivity × time)
Equipmentcost=owning+operatingEquipment cost = owning + operating
(OH + fuel + maintenance)

Formulas (Indian textbook notation)

  • ResourcelevellingsmoothshistogramwithoutextendingprojectResource levelling smooths histogram without extending project

Notation and sign conventions

Relation 1 —
Labourrequirement=quantity/Labour requirement = quantity /
Labourrequirement=quantity/Labour requirement = quantity /
(productivity × time)
Write this relation with symbols exactly as in Construction Management — PS Ghai before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 2 —
Equipmentcost=owning+operatingEquipment cost = owning + operating
Equipmentcost=owning+operatingEquipment cost = owning + operating
(OH + fuel + maintenance)
Write this relation with symbols exactly as in Construction Management — PS Ghai before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.
Relation 3 —
ResourcelevellingsmoothshistogramwithoutextendingprojectResource levelling smooths histogram without extending project

Formulas (Indian textbook notation)

  • ResourcelevellingsmoothshistogramwithoutextendingprojectResource levelling smooths histogram without extending project
Write this relation with symbols exactly as in Construction Management — PS Ghai before substituting numbers. Examiners award partial marks for a correct setup even when arithmetic slips.

Fundamentals and definitions

Resource requirements follow from productivity: the labour or plant needed equals the work quantity divided by the output rate and the available time. Realistic productivity data (adjusted for site conditions) is essential to avoid under- or over-resourcing.

Governing relations in practice

Resource levelling redistributes activities within their float to flatten the histogram peaks, keeping the project duration unchanged; it reduces the maximum resource demand and the cost of mobilising and demobilising fluctuating crews.

Design and analysis considerations

When resources are capped below the demand even after levelling, resource-constrained scheduling delays some activities beyond their float, extending the project; the aim then is to minimise this extension by prioritising activities (e.g. by least float).

Advanced theory and extensions

For repetitive projects, the line-of-balance method targets a delivery rate and schedules resources so each trade proceeds at a matched pace through successive units, avoiding the stop-start inefficiency that arises when crews wait for the preceding trade.

Assumptions and validity limits

State assumptions explicitly before using any relation for resource allocation — steady state, uniform properties, linear elastic material, ideal gas, incompressible flow, etc., as applicable.
Wrong assumptions invalidate the entire solution even when the formula is correct. In Construction Management viva and GATE descriptive questions, listing valid assumptions often earns separate marks.

Step-by-step problem approach

1. Read the question and list given data with SI units (common in Construction Management papers).
2. Draw a neat labelled diagram where applicable — examiners in Indian universities award diagram marks even when arithmetic slips.
3. Identify which relation from this topic applies to resource allocation.
4. Use equation 1:
Labourrequirement=quantity/Labour requirement = quantity /
.
5. Use equation 2:
Equipmentcost=owning+operatingEquipment cost = owning + operating
.
6. Substitute values, compute, and verify units and sign (direction).
7. State conclusion in one line — e.g. safe/unsafe, stable/unstable, feasible/infeasible.

Applications & exam relevance

Resource Allocation appears in EPC and infrastructure projects. In Indian civil curricula this topic is tested because it connects theory to planning, scheduling, and contracts.
GATE and semester exams often combine resource allocation with earlier units — revise prerequisites before attempting mixed problems.
Industry interview panels sometimes ask: "Where did you use resource allocation?" — answer with a lab, mini-project, or plant visit example if possible.

Common mistakes in exams

• Confusing resource levelling (duration unchanged) with resource-constrained scheduling (duration may increase).
• Ignoring float when levelling, thereby delaying the project unnecessarily.
• Using ideal productivity without adjusting for site conditions.
• Overlooking material procurement lead times in the schedule.

Quick revision checklist

Before attempting resource allocation problems, confirm you can:
1. Material procurement lead time affects schedule
2. Line of balance for repetitive projects (high-rise, pipeline)
3. SMART goals for resource-constrained scheduling
Revise the solved examples in Construction Management — PS Ghai and one previous-year GATE or university paper for this unit.

Worked examples

Try the problem first — open the solution when you are ready to check.

Labour requirement for an activity

Problem

A brickwork activity involves 240 m³ of masonry to be completed in 8 days. If a mason lays 2.5 m³ per day, how many masons are required?

Solution

Total mason-days needed = quantity/productivity = 240/2.5 = 96 mason-days. Number of masons = mason-days/duration = 96/8 = 12 masons. Supporting labour (helpers) would be added in the usual gang ratio, and the resource histogram checked so this crew size is available over the 8 days.

Conceptual check — Resource Allocation

Problem

In a Construction Management semester or GATE paper you are asked: "State the main assumption, the governing relation, and one practical consequence of resource allocation." What should a complete answer include?

Exams & GATE

PS Ghai — resource smoothing vs levelling distinction.

📖 Standard books (India)

  • Construction ManagementPS Ghai

    Read: Syllabus unit

    CPM, PERT, and project planning