Table A2

Operational flexibility and agility capabilities linked to the optimization problem in the analyzed case studies

CaseLower-level order flexibility capabilitiesConstraintsLower-level order agility capabilitiesObjective function
#1: Job shop schedulingFM1. Product mix
FM2. Volume
FM3. Mass customization
FM4. Machine flexibility
FL1. Material supply flow
FL2. Routing capability
FL3. Sourcing capability
FT1. Operations planning
FT2. Flexible process configuration
Machine constraints: each machine has a limited capacity and availability. Each machine has specific capabilities and can only carry out certain tasks
Physical limitations of manufacturing installations: expanding or purchasing new machines is not an option
Precedence constraints: some jobs must be completed before others can begin
Resource constraints: limited availability of resources required by jobs, including machines, tools and personnel
No overtime: scheduling must comply with normal work schedule and not involve overtime for personnel or machines
Delivery constraints: delivery times must be met
AM1. Production speed
AM2. Real-time decision-making
AM3. Process speed
AT1. Rapid improvements to the operational capability to respond to changing market needs
AT2. Rapid production and/or process replanning
Minimize total manufacturing time
#2: Operations planning in crude oil blendingFM1. Product mix
FT1. Operations planning
FT2. Flexible process configuration
Quality Standards: blended crude oil products meet the required quality standards
Input Product Blend: the blend of input products to achieve the desired qualities of the output products
Physical Limitations: limitaciones en la capacidad de los tanques
Input Product Proportion: the proportion of each input product and the tanks in which blending should be done to obtain an output product with the desired quality
Incoming Crude Oil Characteristics: characteristics of the crude oil entering the refinery, including variations in properties and availability
AM1. Production speed
AM2. Real-time decision-making
AM3. Process speed
AL5. Rapid material flows
AT2. Rapid production and/or process replanning
Maximize quality index of generated products
#3: Robot movement optimization in manufacturingFM2. Volume
FM4. Machine flexibility
Machine constraints: each machine has a limited capacity and availability
Seam Coverage: Each seam must be sealed exactly once, with no overlaps or omissions
Robot Movement Constraints: Each robot has specific movement capabilities, including speed and range of motion. These constraints should be considered in the optimization algorithm to ensure that robots move efficiently without exceeding their limits
Material Constraints: constraints related to the availability of PVC sealant material, its application rate and the need for refills or replacements during the operation
Safety Constraints: Constraints related to maintaining a safe distance from other robots, human workers and fixed machinery
Quality Control: ensure that the sealant is applied correctly and meets quality standards
Synchronization: Coordination of the movements of multiple robots to avoid overlaps and collisions, optimize workflow and prevent bottlenecks in the paint shop operation
AM1. Production speed
AM3. Process speed
Minimize total processing time
Minimize total travel distance
#4: Factory parts picking optimizationsFL1. Material supply flow
FL2. Routing capability
FT1. Operations planning
FT2. Flexible process configuration
Capacity Constraint: maximum capacity for the number of products that can be picked simultaneously
Resource Availability: the availability of store operatives, picking equipment, and other resources to scheduling picking operations
Travel Time: distance between different shelves and the time it takes for operatives to move between them
Batch Picking: Consider whether it is more efficient to pick parts individually or in batches
AL1. Real-time route optimization
AL2. Short delivery lead-time
AL3. Rapid adjustments to delivery capability
AL4. Rapid improvements to delivery reliability
AL5. Rapid material flows
Minimization of travel time
Minimize total picking distance
#5: Distribution logisticsFL1. Material supply flow
FL2. Routing capability
FL3. Sourcing capability
FT1. Operations planning
FT2. Flexible process configuration
Supply-Demand Constraints: the components supplied by suppliers meet the demand at each vehicle assembly plant
Capacity Constraints: the transportation fleets (trains, planes, ships and trucks) have limited capacity, and the total quantity of components transported by each mode of transportation does not exceed its capacity
Distance Constraints: Distancia máxima que se pueden transportar los componentes utilizando cada modo de transporte. Esto asegura que las rutas de transporte Sean factibles y no excedan las distancias prácticas
Intermediary Warehouse: possibility that components are routed through intermediary warehouses efficiently to minimize handling and storage costs
Time Constraints: components should arrive within the specified time frame
Supplier Constraints: suppliers can meet production schedules and deliver components on time (supplier reliability and lead times)
Transportation Costs: costs associated with each mode of transportation
Resource Allocation Constraints: Allocate resources (trucks, planes, etc.) efficiently to minimize costs and ensure that all plants are supplied without resource shortages
AL1. Real-time route optimization
AL3. Rapid adjustments to delivery capability
Distribution cost
#6: Pharmaceutical distribution logisticsFL1. Material supply flow
FL2. Routing capability
FL3. Sourcing capability
FT1. Operations planning
FT2. Flexible process configuration
Time window: each delivery has a specific time window during which it must be delivered to comply with the customer's expectations
Vehicle capacity: number of items that can be transported (volume, weight …)
Number of worker hours
Traffic constraints
Availability of vehicles
Delivery priority
Warehouse Capacity Constraints: Ensure that the 30 warehouses have sufficient capacity to store pharmaceutical products and keep them under the right conditions, including temperature and humidity control
AL1. Real-time route optimization
AL2. Short delivery lead-time
AL3. Rapid adjustments to delivery capability
AL4. Rapid improvements to delivery reliability
AT1. Rapid improvements to the operational capability to respond to changing market needs
Delivery cost
#7: Port logisticsFL2. Routing capability
FT1. Operations planning
FT2. Flexible process configuration
Real-time Traffic Monitoring: real-time monitor and record traffic within the port area and creation of a detailed traffic model that represents the road network
Traffic Forecasting: Use the current traffic volume data to forecast traffic conditions at signalized intersections
AL2. Short delivery lead-time
AL3. Rapid adjustments to delivery capability
AL4. Rapid improvements to delivery reliability
AL5. Rapid material flows
Journey time: time it takes for trucks, and other vehicles to complete their journeys within the port area
#8: Last-mile deliveryFL2. Routing capability
FT1. Operations planning
FT2. Flexible process configuration
Vehicle Load Capacity: adhering to weight and volume constraints. Ensure that vehicles are neither overloaded nor underutilized
Carrier Uptime: minimize carrier downtime by optimizing routes and schedules, ensuring that carriers are used efficiently throughout the day
Delivery time windows: comply with delivery time windows
Fleet Size Optimization: Strive to optimize the fleet size to ensure that the company maintains a balance between delivery efficiency and cost reduction
Parcel Priority: prioritization of deliveries based on urgency and customer preferences
AL1. Real-time route optimization
AL2. Short delivery lead-time
AL3. Rapid adjustments to delivery capability
AL4. Rapid improvements to delivery reliability
Total delivery time
Total distance covered

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