Capacity, Layout, and Inventory Management Techniques

Capacity Management

  • Capacity: The maximum output a system can achieve. Understanding capacity helps align resources with demand.

    • Types of Capacity

      • Design Capacity: Theoretical maximum output.

      • Effective Capacity: Practical maximum output considering constraints.

      • Actual Capacity: Realized output under actual operating conditions.

    • Capacity Measures

      • Input Measures: Labor hours, machine hours.

      • Output Measures: Units produced, services delivered.

  • Capacity Utilization

    • Indicates how efficiently capacity is being used.

    • Formula:

    • Graph: Utilization vs. Time, showing underutilized and overutilized states.

  • Capacity Cushion

    • Extra capacity maintained to handle demand variability.

    • Formula:

  • Capacity Strategies

    • Lead Strategy: Add capacity before demand increases.

    • Lag Strategy: Add capacity after demand exceeds current capacity.

    • Match Strategy: Gradual capacity additions in response to demand.

Facilities Layout Types

  • Product Layout: Sequential arrangement, ideal for mass production (e.g., assembly lines).

  • Process Layout: Functional grouping, ideal for varied production (e.g., job shops).

  • Fixed-Position Layout: Resources move to the product, suitable for large projects (e.g., construction).

  • Hybrid Layouts: Combine characteristics of multiple layouts.

Tools for Layout Design

  • Flowcharts: Visualize workflows.

  • Relationship Diagrams: Highlight dependencies between tasks.

  • Load-Distance Analysis: Optimize material movement.

  • Graph: Example of a process layout showing workflow interdependencies.

Inventory Management

  • Inventory Types

    • Raw Materials: Inputs for production.

    • Work-in-Process (WIP): Items partially completed.

    • Finished Goods: Completed products ready for sale.

    • MRO Inventory: Maintenance, repair, and operations supplies.

  • Inventory Costs

    • Holding Costs: Storage, insurance, depreciation.

    • Ordering Costs: Costs to replenish inventory.

    • Stockout Costs: Costs of unmet demand.

  • Inventory Systems

    • Periodic Review: Inventory levels checked at regular intervals; orders placed to restock.

    • Continuous Review: Inventory monitored continuously; orders triggered when ROP is reached.

  • Economic Order Quantity (EOQ)

    • Balances ordering and holding costs.

    • Formula:

    • : Annual demand, : Ordering cost, : Holding cost per unit per year.

    • Graph: Total Cost vs. Order Quantity, showing EOQ point.

  • Reorder Point (ROP)

    • Determines when to reorder.

    • Formula:

    • : Daily demand, : Lead time in days.

    • Graph: Inventory level vs. Time, highlighting ROP and safety stock.

  • ABC Analysis

    • Classify inventory by value and volume:

      • A Items: High value, low volume (focus on control).

      • B Items: Moderate value and volume.

      • C Items: Low value, high volume (simplify management).

  • Just-in-Time (JIT)

    • Minimizes inventory by producing only what is needed, when needed.

Inventory Models

  • Single-Period Model (Newsvendor Problem)

    • Balances costs of understocking and overstocking.

    • Critical Ratio:

      • : Cost of understocking.

      • : Cost of overstocking.

    • Optimal Order Quantity is determined using the cumulative probability distribution of demand.

    • Graph: Demand distribution with shaded region representing optimal order quantity.

  • Multi-Period Models

    • Fixed-Order Quantity System: Continuous monitoring; order placed when inventory reaches ROP.

    • Fixed-Time Period System: Inventory reviewed at regular intervals; orders placed to replenish to target levels.

  • Safety Stock

    • Buffer against variability in demand or supply.

    • Formula:

      • : Z-score for desired service level.

      • , where : Demand variability, : Lead time.

    • Graph: Safety stock vs. Lead time, showing variability.

  • Service Level

    • Probability of meeting demand during lead time.

    • Links to safety stock via Z-scores.

  • Inventory Turnover Ratio

    • Measures inventory efficiency.

    • Formula: