Capacity, Facility Location and Layout

Introduction and Context

Operations managers make three interdependent design decisions: how much productive capability to provide, where that capability should be located, and how resources should be arranged within the facility. These decisions shape cost, speed, quality, flexibility, safety, employee experience and environmental performance for many years. A poorly located facility may create permanent transport and labour disadvantages; an inappropriate layout may generate excessive movement and waiting; and inadequate capacity may cause lost sales and unreliable delivery.

Capacity, location and layout should therefore be evaluated as a system rather than as isolated technical decisions. Capacity determines the scale of operations. Location determines access to markets, suppliers, labour, infrastructure and risk-management resources. Layout determines how efficiently materials, information, people and customers flow through the operation.

The appropriate design depends on the operation’s competitive priorities. A low-cost manufacturer may emphasise economies of scale and high utilisation, whereas a hospital or emergency service must preserve capacity for unpredictable demand. A fashion retailer may value flexibility and proximity to customers, while a process industry may prioritise utilities, transport links and environmental controls.

Learning Objectives

By the end of this chapter, the learner should be able to:

1. Explain design capacity, effective capacity, utilisation and efficiency.
2. Evaluate capacity strategies and economies of scale.
3. Apply break-even and capacity calculations to operational decisions.
4. Compare facility-location alternatives using quantitative and qualitative criteria.
5. Explain product, process, cellular, fixed-position and service layouts.
6. Perform basic line-balancing calculations and interpret their limitations.
7. Recommend an integrated capacity, location and layout solution while considering risk, ethics, sustainability and technology.

1. Capacity Fundamentals

Capacity is the maximum rate at which an operation can produce outputs or process inputs under specified conditions. It must always be expressed with a time basis, such as units per hour, patients per day, tonnes per month or service transactions per week.

Three capacity concepts are particularly important:

• Design capacity is the theoretical maximum output under ideal conditions.
• Effective capacity is the maximum realistic output after allowing for product mix, maintenance, breaks, setup, quality requirements, legal restrictions and other planned constraints.
• Actual output is the output achieved during a specified period.

Capacity is not necessarily a single number. A hospital may have beds, operating theatres, nurses and specialist equipment as separate capacity constraints. A factory may have machine hours, labour hours, storage space and supplier capacity. The effective capacity of the system is often governed by its bottleneck.

Utilisation and Efficiency

Utilisation measures actual output relative to design capacity:

Efficiency measures actual output relative to effective capacity:

The units of output must be consistent in numerator and denominator, and all values must refer to the same period. Utilisation can be lower than efficiency because design capacity is normally greater than effective capacity. For example, an operation producing 800 units per day with a design capacity of 1,000 and effective capacity of 900 has utilisation of 80% and efficiency of 88.9%.

High utilisation is not automatically desirable. When utilisation approaches 100%, queues, maintenance delays, overtime and quality problems may increase. Service operations often require protective capacity because demand is variable and customers cannot be stored. In contrast, a stable process with predictable demand may operate closer to its effective capacity.

Capacity Requirement and Capacity Cushion

If forecast demand is uncertain, managers may deliberately provide more capacity than expected demand. The capacity cushion can be expressed as:

As a percentage of available capacity:

A positive cushion protects against demand peaks, equipment failure and supply disruption. Its cost is underutilised resources. The appropriate cushion depends on demand variability, the cost of lost sales, lead-time expectations and the ease of adding capacity.

Bottlenecks and Capacity of a Process

A process consists of linked activities. If activity i has capacity Cᵢ, the capacity of a serial process is constrained by the smallest activity capacity:

This relationship assumes that activities are required in sequence and that there are no effective parallel alternatives or inventory buffers that change the relevant time horizon. Increasing capacity at a non-bottleneck activity does not increase total throughput unless the bottleneck is also relieved.

Theory of Constraints recommends five broad actions: identify the constraint, exploit it by avoiding wasted capacity, subordinate other activities to it, elevate its capacity through investment or process change, and repeat the analysis after the constraint shifts.

2. Capacity Strategies

Capacity decisions operate at strategic, tactical and operational levels. Strategic decisions include building a new plant, expanding a distribution centre or outsourcing a process. Tactical decisions include shifts, overtime, subcontracting, workforce levels and inventory. Operational decisions include sequencing, preventive maintenance and temporary reassignment of staff.

Lead, Lag and Match Strategies

A lead strategy adds capacity before demand is fully realised. It improves responsiveness and reduces the risk of lost sales but may create idle resources and financial exposure.

A lag strategy adds capacity only after demand has materialised. It reduces the risk of overinvestment but may cause queues, lost customers and employee stress.

A match strategy adds capacity in smaller increments as demand develops. It balances risk but requires accurate monitoring and access to modular expansion.

The best choice depends on demand confidence, expansion lead time, irreversibility of investment and the organisation’s service promise. Capacity planning should use scenarios rather than a single forecast. A manager may model expected, high-demand and low-demand cases and identify trigger points for expansion.

Capacity Flexibility

Flexibility can be created through cross-trained employees, flexible equipment, modular facilities, overtime, temporary labour, subcontracting, postponement and multi-skilled maintenance teams. Flexibility has value when demand is uncertain, but it may increase training, coordination and quality costs. Outsourcing also introduces dependence, intellectual-property risk, supplier power and ethical responsibility for working conditions.

Economies and Diseconomies of Scale

Economies of scale occur when average cost falls as volume increases. Fixed costs such as rent, engineering and administration are spread over more units; purchasing power may improve; and specialised technology may become economical. Average cost is:

Diseconomies of scale arise when expansion causes coordination complexity, congestion, communication delays, bureaucracy, long internal transport routes or reduced employee engagement. A large facility is not necessarily more efficient than several smaller facilities. The relevant analysis must include total cost, service responsiveness, risk and flexibility.

3. Break-Even and Capacity Analysis

Break-even analysis compares fixed costs, variable costs and revenue. For a single product with constant price and variable cost:

The denominator is the contribution margin per unit. The formula assumes a constant selling price, constant variable cost per unit, fixed costs that do not change within the relevant range, and a single product or constant sales mix.

Worked Example: Capacity Investment

A firm is comparing two alternatives:

• Alternative A: fixed cost $120,000 and variable cost $18 per unit.
• Alternative B: fixed cost $240,000 and variable cost $12 per unit.
• Selling price: $30 per unit.

For Alternative A:

For Alternative B:

Thus, each alternative’s individual break-even point differs. To find the volume at which the two alternatives have equal total cost:

Below 20,000 units, Alternative A has lower total cost. Above 20,000 units, Alternative B has lower total cost, provided both alternatives have sufficient capacity and the assumptions remain valid.

For multiple products, a weighted-average contribution margin may be used only when the sales mix is stable. If product j has contribution margin CMⱼ and proportion wⱼ of sales, the weighted contribution margin is:

The weights must sum to 1. Changes in product mix can materially change the break-even volume.

4. Facility Location Decisions

Location decisions determine the geographical position of a facility and its relationship to customers, suppliers, employees, infrastructure and regulators. They are usually long-term and difficult to reverse. Location analysis should distinguish:

1. Country or regional level: political stability, taxation, trade rules, labour availability, currency and infrastructure.
2. Community level: labour market, quality of life, education, public services, incentives and environmental expectations.
3. Site level: land cost, access, utilities, transport, zoning, flood risk, expansion space and security.

Location Factors

Important factors include:

• proximity to major customers and markets;
• supplier access and inbound logistics;
• transport modes, congestion and reliability;
• labour cost, skills, availability and industrial relations;
• energy, water, telecommunications and waste services;
• taxes, subsidies, planning requirements and regulations;
• climate, natural hazards, political risk and cybersecurity exposure;
• community impact, emissions, noise and land use;
• room for expansion and future network design.

Cost minimisation alone can produce poor decisions. A site with cheap labour may have unreliable electricity, weak infrastructure or high employee turnover. A remote site may reduce rent but increase inventory, transport emissions and delivery lead time.

Factor-Rating Method

The factor-rating method compares sites using weighted criteria. Let wⱼ be the weight of criterion j, with ∑wⱼ = 1, and rᵢⱼ be the score of site i on criterion j. The weighted score for site i is:

Scores must use the same scale, such as 1 to 10. The method is useful for combining quantitative and qualitative criteria, but it does not eliminate judgement. Weights should be tested through sensitivity analysis, and non-negotiable constraints—such as legal prohibitions or inadequate utilities—should be screened out before scoring.

Centre-of-Gravity Method

For a distribution facility serving known demand points, a basic centre-of-gravity estimate is:

Here xᵢ and yᵢ are coordinates of demand point i, and wᵢ is a weight such as shipment volume. The method assumes transport cost per unit distance is uniform and does not account for roads, terrain, congestion, land availability, taxes or service-time constraints. The result is therefore a screening estimate, not an automatic site recommendation.

Break-Even Location Comparison

Location alternatives can also be compared by total cost:

where Q is output volume. The preferred site may change as volume changes. Strategic location decisions should include scenario analysis for fuel prices, exchange rates, demand, wages and disruption.

5. Layout Design and Material Flow

Layout concerns the physical arrangement of departments, workstations, equipment, storage, offices, service areas and customer spaces. A good layout supports smooth flow, short travel distances, visibility, safety, quality at source and efficient use of space.

Layout decisions should begin with process requirements rather than available floor space. Designers should map material, information and customer flows; identify cross-traffic and backtracking; estimate demand and cycle times; consider safety and accessibility; and test alternatives using simulation or pilot arrangements.

Product Layout

A product layout, or line layout, arranges resources according to the sequence of operations required for a product or service. It is suitable for high volume and relatively low variety. Advantages include predictable flow, low material-handling cost, simple scheduling and low work-in-process. Disadvantages include vulnerability to breakdowns, limited flexibility, repetitive work and the possibility that one bottleneck stops the line.

Examples include automobile assembly, bottling and standardised food processing.

Process Layout

A process layout groups similar functions together, such as all lathes in one department or all radiology services in another. It is suitable for low volume and high variety. It offers flexibility and specialist expertise but generally involves longer travel, complex routing, higher work-in-process and more difficult scheduling.

Job shops, repair facilities and hospitals commonly use process layouts, although hospitals also incorporate service-flow and safety requirements.

Cellular Layout

A cellular layout groups dissimilar resources into a cell designed to process a family of similar products or customers. It seeks to combine the flow advantages of product layout with the flexibility of process layout. Successful cellular design requires identifying product families, balancing work within cells and preventing excessive duplication of equipment. Cells may improve ownership and quality, but demand changes can make a cell underused.

Fixed-Position Layout

In a fixed-position layout, the product or customer remains in one place while people, equipment and materials move to it. It is used for aircraft, ships, construction projects and large infrastructure. The main challenges are coordination, congestion, scheduling of shared resources, site safety and protection of partially completed work.

Service Layouts

Service layouts must consider customer movement, waiting, privacy, communication and perceived quality. A bank may use a queue and service-counter arrangement; a supermarket combines product accessibility with checkout flow; a hotel separates guest, housekeeping and service circulation; and a hospital must prevent unsafe intersections between clean, contaminated, public and emergency flows.

Services are often co-produced with customers, so layout influences both operational efficiency and customer experience. Signs, digital queue systems, seating, accessibility, lighting, acoustics and privacy can be as important as physical distance.

6. Line Balancing

Line balancing assigns tasks to workstations so that each station has approximately equal work while precedence relationships are respected. The objective is to meet required output with the fewest appropriate stations and acceptable balance loss.

If available production time per period is T and required output is D, the cycle time is:

The cycle time is the maximum time available at each station for one unit. If task times are tₖ, the theoretical minimum number of stations is:

The ceiling function rounds upward because a fraction of a station is not possible. Actual stations may exceed this minimum because precedence, task indivisibility, skill requirements or ergonomic restrictions prevent perfect assignment.

Line efficiency is:

where N is the actual number of workstations. Balance delay is:

Worked Example: Assembly Line

An assembly line has task times of 2, 3, 4, 2 and 3 minutes. Available time is 420 minutes per day and required output is 100 units per day.

Total task time is 14 minutes, so:

If four stations can be assigned without violating precedence:

The remaining 16.67% is balance delay. This does not necessarily represent waste that can be eliminated: task indivisibility and precedence may make some idle time unavoidable. The result also assumes all stations are available for the full 420 minutes and that task times are stable.

Common assignment heuristics include ranked positional weight, largest candidate rule and shortest task time. Heuristics are practical but do not guarantee a globally optimal solution. Computer-based optimisation can evaluate precedence, staffing, ergonomic and mixed-model constraints more rigorously.

7. Integrating Capacity, Location and Layout

These decisions should be made through a staged but iterative process:

1. Forecast demand using scenarios and identify service requirements.
2. Translate demand into capacity requirements by product, process and time period.
3. Identify bottlenecks, capacity cushions and expansion options.
4. Define location criteria and screen sites for mandatory constraints.
5. Compare feasible sites using total cost, risk, service, sustainability and strategic fit.
6. Select a layout consistent with volume, variety, flow, safety and flexibility.
7. Validate the design through flow analysis, line balancing, simulation, pilot testing and sensitivity analysis.
8. Establish performance measures and review assumptions after implementation.

Technology supports these steps. Digital twins and discrete-event simulation can test demand, staffing, equipment failures and layout alternatives before construction. Warehouse-management systems, sensors and real-time dashboards can expose congestion and utilisation. Artificial intelligence may improve demand forecasting, labour scheduling and route design, but outputs require human oversight. Biased historical data can reproduce unfair staffing decisions, and extensive monitoring can create privacy concerns.

8. Applied Case: Northstar Medical Devices (Illustrative)

Background

Northstar Medical Devices produces two types of diagnostic cartridge. Demand has grown from 70,000 to an expected 100,000 units annually. The existing plant operates at high utilisation, and late deliveries have increased. Management is considering expansion at the current site, a new regional facility, or outsourcing part of production.

Problem

The current inspection process is the bottleneck. Its effective capacity is 92,000 units per year, while forecast demand is 100,000. The firm must increase capacity without compromising regulatory compliance, traceability or product quality.

Analysis

The operations team identifies three alternatives:

• expand the inspection area at the current site;
• build a new facility near a major customer cluster;
• outsource inspection to an approved specialist.

The team evaluates fixed and variable cost, lead time, regulatory qualification, disruption risk, labour availability, transport, data security and future expansion. A factor-rating analysis is used only after eliminating sites that cannot meet clean-room and utility requirements. Scenario analysis tests demand of 85,000, 100,000 and 120,000 units.

The current site has strong technical labour and regulatory knowledge but limited expansion space. The new site offers space and customer proximity but requires recruitment and qualification. Outsourcing adds flexibility but creates supplier dependence and requires rigorous audit and data controls.

Approach and Solution

Northstar selects a phased approach: it expands the current inspection capacity to 110,000 units, qualifies an external specialist as a contingency supplier, and redesigns the plant using a cellular arrangement for cartridge families. A small supermarket of controlled work-in-process is placed before inspection, while the inspection bottleneck receives priority maintenance and cross-trained operators.

Line balancing reduces avoidable idle time in final assembly. A digital dashboard tracks throughput, first-pass yield, queue length, utilisation and on-time delivery. The firm keeps a capacity cushion rather than planning to operate continuously at 100%.

Outcome

The design increases effective capacity above forecast demand, improves resilience and avoids the immediate risk of constructing a new facility. The approved external supplier provides additional protection during demand peaks or major equipment failure. The decision is reviewed quarterly because demand and regulatory requirements may change.

Learning Points

The case illustrates that the lowest apparent unit cost is not always the best decision. Capacity must be evaluated at the bottleneck; location must include risk and compliance; layout must reflect product families and flow; and resilience may justify a qualified second source even when it is not fully utilised.

9. Limitations, Governance and Best Practices

Capacity models depend on forecasts, standard times and cost assumptions that may be wrong. Break-even analysis ignores many nonlinear effects, such as overtime premiums, price changes, learning curves and step-fixed costs. Factor ratings can hide subjective preferences behind numerical scores. Centre-of-gravity models simplify transport networks. Line-balancing calculations may ignore variability, absenteeism and quality failures.

Managers should therefore document assumptions, use sensitivity analysis, distinguish hard constraints from preferences and review decisions after implementation. Environmental assessment should include energy, water, waste, transport emissions, land use and climate resilience. Ethical location decisions should consider community displacement, labour rights, occupational safety and equitable access to employment. Regulatory compliance may involve zoning, building standards, accessibility, fire protection, environmental permits, food or pharmaceutical controls and data protection.

Best practice includes:

• design for the full value stream rather than one department;
• protect bottlenecks and measure flow, not merely local utilisation;
• use modular expansion where uncertainty is high;
• test location assumptions under disruption scenarios;
• include employees and users in layout design;
• apply ergonomic and accessibility standards;
• use simulation before committing to major construction;
• maintain traceable decision records;
• monitor actual performance against design assumptions;
• plan closure, relocation and environmental restoration responsibilities.

Chapter Summary

Capacity is the productive capability of an operation, while utilisation compares actual output with design capacity and efficiency compares actual output with effective capacity. Bottlenecks constrain serial processes, and capacity cushions protect against uncertainty. Lead, lag and match strategies provide different balances between responsiveness and investment risk. Economies of scale can reduce average cost, but diseconomies may arise through congestion and complexity.

Break-even analysis supports capacity and technology comparisons when its assumptions are satisfied. Facility-location decisions should combine cost, service, labour, infrastructure, regulation, risk, sustainability and community considerations. Factor rating, centre of gravity and total-cost comparison are useful tools, but they require judgement and sensitivity analysis.

Product layouts support high-volume, standardised flow; process layouts support variety; cellular layouts combine family-based flow with flexibility; fixed-position layouts keep large projects stationary; and service layouts must address both operational flow and customer experience. Line balancing uses cycle time, precedence and station efficiency to align work with demand. The strongest decisions integrate capacity, location and layout and validate them through scenarios, simulation, governance and continuous review.

Key Terms

Capacity: The maximum rate at which an operation can produce or process output under specified conditions.

Design capacity: The theoretical maximum output under ideal conditions.

Effective capacity: Realistic maximum output after planned constraints are considered.

Utilisation: Actual output divided by design capacity.

Efficiency: Actual output divided by effective capacity.

Capacity cushion: Capacity maintained above expected demand.

Bottleneck: The resource that constrains total process throughput.

Economies of scale: Reduction in average cost as volume increases.

Diseconomies of scale: Increase in average cost caused by excessive size or complexity.

Break-even quantity: Output at which total revenue equals total cost.

Factor rating: A weighted method for comparing location alternatives.

Centre of gravity: A coordinate estimate based on weighted demand points.

Product layout: Arrangement according to the sequence of operations.

Process layout: Arrangement that groups similar functions or equipment.

Cellular layout: Arrangement of resources to process a family of similar items.

Fixed-position layout: Layout in which the product or customer remains stationary.

Cycle time: Maximum available time at a workstation per unit of output.

Line balancing: Assignment of tasks to stations while respecting precedence and capacity.

Balance delay: The percentage of workstation capacity not represented by assigned task time.

Capacity strategy: A planned approach to matching resources with expected demand.

Review Questions

5 Short Answer Questions

1. Distinguish design capacity from effective capacity.
2. Why can high utilisation create operational problems?
3. State two advantages and two disadvantages of a process layout.
4. What is the purpose of a capacity cushion?
5. Name three factors that should be considered in facility-location decisions.

5 Long Answer Questions

1. Explain lead, lag and match capacity strategies and identify circumstances in which each may be appropriate.
2. Discuss economies and diseconomies of scale in relation to facility size.
3. Explain the factor-rating and centre-of-gravity methods, including their assumptions and limitations.
4. Compare product, process, cellular and fixed-position layouts using volume, variety, flow and flexibility.
5. Describe how capacity, location and layout decisions should be integrated in a strategic operations plan.

3 Analytical / Application Questions

1. An operation has design capacity of 2,400 units per week, effective capacity of 2,000 units and actual output of 1,760 units. Calculate utilisation and efficiency, then explain what the results suggest.
2. A company must choose between a site with high fixed cost and low variable cost and a site with low fixed cost and high variable cost. Explain how you would determine the volume at which the alternatives have equal total cost and what non-cost factors must also be assessed.
3. Design a preliminary layout recommendation for a hospital outpatient clinic. Identify the likely layout type or combination, describe patient and staff flows, and explain how safety, privacy, accessibility and demand variability should influence the design.

Multiple Choice Questions with Answers

Question 1

A facility has design capacity of 1,000 units per day, effective capacity of 900 units, and actual output of 800 units. What are utilisation and efficiency?

A. 80% utilisation and 88.9% efficiency

B. 88.9% utilisation and 80% efficiency

C. 90% utilisation and 80% efficiency

D. 80% utilisation and 90% efficiency

Correct Answer: A. 80% utilisation and 88.9% efficiency

Question 2

Which capacity strategy adds capacity before demand is fully realised?

A. Lag strategy

B. Lead strategy

C. Match strategy

D. Constraint strategy

Correct Answer: B. Lead strategy

Question 3

A product sells for $50, has variable cost of $30, and fixed costs are $100,000. What is the break-even quantity?

A. 2,000 units

B. 3,333 units

C. 5,000 units

D. 6,667 units

Correct Answer: C. 5,000 units

Question 4

Which location method calculates weighted average coordinates from demand points?

A. Factor-rating method

B. Break-even analysis

C. Centre-of-gravity method

D. Line-balancing method

Correct Answer: C. Centre-of-gravity method

Question 5

Which layout is most appropriate for high-volume, low-variety production with a fixed sequence of tasks?

A. Process layout

B. Product layout

C. Fixed-position layout

D. Functional office layout

Correct Answer: B. Product layout

Question 6

Available production time is 480 minutes per day and required output is 120 units per day. What is the cycle time?

A. 2 minutes per unit

B. 3 minutes per unit

C. 4 minutes per unit

D. 5 minutes per unit

Correct Answer: C. 4 minutes per unit

Question 7

What primarily limits the throughput of a serial process?

A. The resource with the greatest capacity

B. The resource with the lowest capacity

C. The largest storage area

D. The lowest product price

Correct Answer: B. The resource with the lowest capacity

Question 8

Which layout keeps the main product or project stationary while resources move to it?

A. Cellular layout

B. Process layout

C. Product layout

D. Fixed-position layout

Correct Answer: D. Fixed-position layout

Question 9

If total task time is 18 minutes, cycle time is 5 minutes and four stations are used, what is line efficiency?

A. 72%

B. 80%

C. 90%

D. 111.1%

Correct Answer: B. 80%

Question 10

Why may a service operation deliberately maintain capacity below 100% utilisation?

A. To eliminate all fixed costs

B. To protect against demand variability and disruptions

C. To ensure variable cost is always zero

D. To make design capacity equal to actual output

Correct Answer: B. To protect against demand variability and disruptions