Flexible Manufacturing Systems (FMS) by Ed Red “…an automated, mid-volume, mid-variety, central computer-controlled manufacturing system” Nanua Singh, Computer-Integrated Design and Manufacturing, John Wiley & Sons, 1996 References: 1. Nanua Singh, Computer-Integrated Design and Manufacturing, John Wiley & Sons, 1996 2. Mikell Groover, Automated Production Systems and Computer-Integrated Manufacturing, Prentice-Hall, 2 nd edition, 2001 ME 482 - Manufacturing Systems
Objectives • To review modern flexible manufacturing systems (FMS): - Group technology (GT) - Manufacturing cells - Automated part handling equipment (AGV’s, etc. ) - Control software - Analysis models • To consider application conditions (student presentations) • To test understanding of the material presented ME 482 - Manufacturing Systems
FMS characteristics • A manufacturing cell used to implement group technology (GT) robots…machine tools… • Independent machines performing multiple operations and having automated tool interchange capabilities • Automated material-handling between stations (move parts between machines and fixturing stations) • Hierarchical computer control architectures • Often include CMM, inspection and part washing devices ME 482 - Manufacturing Systems
GT requirement: Parts can be grouped into part families! Similar manufacturing process requirements (manufacturing attributes), but with different design attributes Turned, drilled, milled…. . Cylindrical, hole, thread, chamfer, tolerance, dimension…. . ME 482 - Manufacturing Systems
GT requirement: Production machines can be arranged into cells! Group technology layout Process type plant layout …dashed lines indicates departments! ME 482 - Manufacturing Systems
GT part classification and coding Ø Parts distinguished (classified) by design attributes and manufacturing attributes. Ø Part differentiated by coding methods for • design retrieval • automated process planning • machine cell design Basic structure of Opitz coding system ME 482 - Manufacturing Systems
GT Opitz form code ME 482 - Manufacturing Systems
GT example For the part shown determine the form code in the Opitz parts classification and coding system. . Solution: With reference to Figure 15. 6, the five-digit code is developed as follows: • Length-to-diameter ratio, L/D = 1. 5 • External shape: stepped on both ends with screw thread on one end • Internal shape: part contains a through-hole • Plane surface machining: none • Auxiliary holes, gear teeth, etc. : none The parts’s form code in the Opitz system is ME 482 - Manufacturing Systems Digit 1 = 1 Digit 2 = 5 Digit 3 = 1 Digit 4 = O Digit 5 = O 15100
FMS Highly automated GT manufacturing cell, consisting of a group of processing workstations, interconnected by an automated material handling and storage system, and controlled by a distributed computer system (Groover defn) What does flexible mean? 1. Can identify and operate on different part/product styles 2. Quick changeover of process/operating instructions 3. Quick changeover of physical setup FMS operations: 1. Processing operations, or 2. Assembly operations ME 482 - Manufacturing Systems
FMS – automated part handling Conveyor AGV AS/RS ME 482 - Manufacturing Systems
Single machine FMS type - Distinguish by number of machines 1. Single machine cell* can operate in batch mode (sequentially process parts of a single style in defined lot sizes) or flexible mode (process different part styles and adapt to different production schedules) 2. * No error recovery if machine breaks down since production will stop 2. Flexible machine cell (FMC) consists of 2 -3 machines plus part handling Flexible Manufacturing Cell equipment and limited part storage…. simultaneous production of different parts and error recovery. 3. Flexible manufacturing system consists of 4 or more workstations connected by common part handling system and distributed computer system. Other stations may support the activities, such as a coordinate measuring machine (CMM) or washing station. …. simultaneous production of different parts and error recovery. ME 482 - Manufacturing Systems
Loop layout Ladder field Open layout FMS layouts In-line layout 1. In-line layout 2. Loop layout (secondary part handling systems) 3. Ladder layout 4. Open field layout ME 482 - Manufacturing Systems
FMS computer control system 1. Workstation control 2. Supervisory control among workstations (workstation coordination) 3. Production control (part rate and mix) 4. Traffic control (manage part delivery systems) 5. Shuttle control (part handling between machine and primary handling system) 6. Workpiece monitoring (status of various systems) 7. Tool control (location and tool life) 8. Performance monitoring and reporting (report operational data) 9. Diagnostics (identify sources of error, preventive maintenance) ME 482 - Manufacturing Systems
FMS design issues 1. Workstation types 2. Variations in process routings and FMS layout (increasing product variety move you from in-line layouts to open field layouts) 3. Material handling system 4. Work in process (WIP) and storage capacity (FMS storage capacity must be compatible with WIP) 5. Tooling (numbers and types of tools at each station, tool duplication) 6. Workpiece monitoring (status of various systems) 7. Pallet fixtures (numbers in system, flexibility) ME 482 - Manufacturing Systems
FMS operational issues 1. Scheduling (master production schedule) and dispatching (launching of parts into the system) 2. Machine loading 3. Part routing 4. Part grouping 5. Tool management 6. Pallet and fixture allocation ME 482 - Manufacturing Systems
FMS quantitative analysis Four models: 1. Deterministic models (don’t include operating characteristics, including queues, that may degrade performance, thus are a little optimistic) 2. Queueing models 3. Discrete event simulation – Used to model manufacturing cell simulation (simulation) 4. Heuristic or material handling system, as events occur at discrete approaches time and affect the status and performance of the moments in system, e. g. , parts arriving at the machine. ME 482 - Manufacturing Systems
FMS bottleneck model Bottleneck – output of a production system has an upper limit, given an upper bounds on the product mix flowing through the system Ø Introduce the bottleneck model to provide initial FMS parameter estimates Ø Introduce terminology and symbols Ø Demonstrate on examples ME 482 - Manufacturing Systems
FMS terminology and symbols Part mix pj = fraction of system output that is of style j P = total number of part styles made in FMS in given time period Workstations and servers (workstation that can duplicate process capabilities of another workstation ) n = number of workstations si = number of servers at each station i (i = 1, 2, …n, and we include the load/unload station as an FMS workstation) ME 482 - Manufacturing Systems
FMS terminology and symbols Process routing – for each part or product, defines operational sequence, assigned workstations, and associated process times, including loading and unloading times tijk = processing time for a part/product in a given server, not including waiting time, where i = station i j = part/product j k = particular operation in process routing sequence of operations ME 482 - Manufacturing Systems
FMS terminology and symbols Work handling system – material handling system is considered a special workstation and designate it as station n + 1; then sn+1 = number of carriers (servers) in handling system (conveyors, carts, AGV’s, etc. ) Transport time tn+1 = mean transport time required to move a part from one workstation to the next station in the process routing ME 482 - Manufacturing Systems
FMS terminology and symbols Operation frequency – expected number of times a given operation in the process routing is performed for each work unit, e. g, an inspection of a dimension fijk = operation frequency for operation k for part j at station i This parameter (fijk) is usually one since each operation is usually performed once on a different workstation! Exceptions might exist for part inspection stations. Note that there are many zero values since not all parts and operations go through every machine. ME 482 - Manufacturing Systems
FMS quantitative models Average workload (Li) – mean operational time of station i per part, calculated as (units are in min. ) Li = Sj Sk tijk fijk pj i = station i j = part/product j (process routing) k = operation in routing sequence Workload of the handling system is the mean transport time (tn+1) multiplied by the average number of transports to complete part process. Average number of transports (nt) is the mean number of operations in the process routing minus 1: nt = Si Sj Sk fijkpj – 1 Workload of handling system is ME 482 - Manufacturing Systems Ln+1 = nt tn+1 difficult interpretation!
FMS example – determine nt Simple system has machining station and load/unload station. If system processes single part, determine nt. One part (j = 1) so p 1 = 1. 0 Load Unload fi 1 k = 1. 0 3 routing operations: load part at 1 -> route to station 2 for machining-> return to station 1 for unloading Then nt = 1(1. 0) + 1(1. 0) - 1 = 2 “load” “machine at 2” ME 482 - Manufacturing Systems “unload”
FMS quantitative models FMS production is usually constrained by a bottleneck station (consider the handling station also), which is the station i with the highest workload per server as measured by Li/si. Designate i = b the bottleneck station and calculate the maximum production rate from Rmax = sb/Lb (number of parts per time for station b) Note: This is valid even for parts not passing through the bottleneck station because the part mix ratios are fixed and limited by the bottleneck station. Individual production rates are Rj = pj sb/Lb ME 482 - Manufacturing Systems
FMS quantitative models Mean workstation utilization is the proportion of time that stations are active as determined from Ui = Rmax Li/si ( Ub = 1) The average station utilization is U = Si Ui/(n+1) The overall FMS utilization is weighted by the number of servers at each station (not including handling stations) Us = Si si. Ui/ Si si Number of busy servers at other than the bottleneck station determined from Bi = Rmax Li ME 482 - Manufacturing Systems
FMS example (from Groover) An FMS with 4 stations is designed so that station 1 is load/unload, station 2 performs milling operations with 3 servers, station 3 performs drilling operations with 2 servers, while station 4 performs part inspection on part samples. The part handling system has a mean transport time of 3. 5 min and 2 carriers. The FMS produces parts A, B, C, and D with part mix fractions and routings shown in the table. Determine: 1. FMS max production rate 2. Production rate of each part 3. Each station utilization 4. Overall FMS utilization ME 482 - Manufacturing Systems
FMS example solution First, determine bottleneck station by calculating workloads: L 1 = (4+2)(1. 0)(0. 1 + 0. 2 + 0. 3 + 0. 4) = 6. 0 min. L 2 = (20)(1. 0)(0. 1) + 25(1. 0)(0. 2) + (30)(1. 0)(0. 4) = 19. 0 min. Similarly, L 3 = 14. 4 min. ; L 4 = 4. 0 min. nt = (4. 5 - 1)(0. 1) + (5. 2 - 1)(0. 2) + (3. 5 -1)(0. 3) + (3. 333 - 1)(0. 4) = 2. 783 L 5 = (2. 873)(3. 5) = 10. 06 min. …part handling station! Now calculate Li/si to identify bottleneck: L 1/s 1 = 6. 0/1 = 6. 0 L 2/s 2 = 19. 0/3 = 6. 333 L 3/s 3 = 14. 4/2 = 7. 2 …the bottleneck! Rmax = 2/14. 4 = 0. 1389 pc/min. (8. 333 pc/hr) L 4/s 4 = 4. 0/1 = 4. 0 L 5/s 5 = 10. 06/2 = 5. 03 ME 482 - Manufacturing Systems
FMS example solution Production rate for each part: RA = 8. 333(0. 1) = 0. 8333 pc/hr. RB = 8. 333(0. 2) = 1. 667 pc/hr. RC = 8. 333(0. 3) = 2. 500 pc/hr. RD = 8. 333(0. 4) = 3. 333 pc/hr. Station utilization: U 1 = (6. 0/1)(0. 1389) = 0. 8333 U 2 = (19. 0/3)(0. 1389) = 0. 879 U 3 = (14. 4/2)(0. 1389) = 1. 0 U 4 = (4. 0/1)(0. 1389) = 0. 555 U 5 = (10. 06/2)(0. 1389) = 0. 699 (83. 33%) Overall FMS utilization (exclude part handling): U 1 = [1(0. 833) + 3(0. 879) + 2(1. 0) + 1(0. 555)]/7= 0. 861 ME 482 - Manufacturing Systems (86. 1%)
FMS follow-on example (from Groover) Determine the production rate of part D that will increase the utilization of station 2 to 100%. Note that this is possible since part D does not go through station 3, the bottleneck station, and station 2 is under utilized. Solution: Set U 2 = 100% and solve U 2 = 1. 0 = L 2(0. 1389)/3 to get L 2 = 21. 6 min. as compared to 19. 0 min. previously. Parts A, B and D are processed by station 2. Parts A and B are constrained in their production rate by the other stations, but not part D which is only processed by station 2. We first determine the portion of the station 2 workload taken up by A and B: L 2(by A+B) = 20(0. 1)(1. 0) + 25(0. 2)(1. 0) = 7. 0 min. ME 482 - Manufacturing Systems
FMS follow-on example At 100% utilization the workload for part D increases to 21. 6 – 7. 0 = 14. 6 min. , where it was 19. 0 – 7. 0 = 12. 0 min. at 87. 9% utilization. The production rate for part D is now increased to 14. 6(3. 333)/12. 0 = 4. 055 pc/hr. Note that increasing the throughput for part D will change the part mix ratios previously presented. ME 482 - Manufacturing Systems
Optimizing operations allocation in an FMS with negligible setup Sound familiar? Two criteria: - production of parts with minimum cost - production of parts at max production rate Define: K part types having demand dk (k = 1, . . . K) M machine types each having capacity bm (m = 1, . . . M) Jk operations performed on part type k (j = 1, . . . . Jk) ckjm = unit processing cost to perform jth operation on kth part on mth machine; else, set the cost to infinity (set high) tkjm = unit processing time to perform jth operation on kth part on mth machine; else, set the time to infinity (set high) ME 482 - Manufacturing Systems
Optimizing operations allocation in an FMS with negligible setup Define flexibility factor, akljm : Assume operations can be performed on alternative machines. Part can be manufactured along a number of routes. For example, if a part has three operations and if the first, second, and third operations can be performed as: - operation 1 on two machines - operation 2 on three machines - operation 3 on two machines then a set of alternative process plans (l Î L, where L is the total number of alternative plans) would include 2 x 3 x 2 = 12 possible processing routes. Define akljm = 1 if in plan l the jth operation on the kth part is performed on the mth machine; else, set the factor to 0 ME 482 - Manufacturing Systems
Optimizing operations allocation in an FMS with negligible setup Minimum cost to manufacture all parts: Minimize Z 1 = Skljm akljm ckjm Xkl “Linear programming” where Z 1 is the objective function and Xkl is a decision variable representing the number of units of part k to be processed using plan l. Constraints: Demand for parts must be met: Sl Xkl Can not exceed machine capacity: Sklj akljm tkjm Xkl £ ³ dk Positive number of units produced: Xkl ³ 0 ME 482 - Manufacturing Systems "k bm " k, l "m
Optimizing operations allocation in an FMS with negligible setup Maximize throughput (minimize total process time for parts): Minimize objective function Z 2 = Skljm akljm tkjm Xkl Constraints: Demand for parts must be met: Sl Xkl Can not exceed machine capacity: Sklj akljm tkjm Xkl £ ³ dk Positive number of units produced: Xkl ³ 0 ME 482 - Manufacturing Systems "k bm " k, l "m
Optimizing operations allocation in an FMS with negligible setup Balance workload on machines (minimize the maximum of the process times): Minimize objective function Z 3 = maximum{ Skljm akljm tkjm Xkl } Constraints: Minimized max > other workloads: Z 3 - Skljm akljm tkjm Xkl ³ 0 Demand for parts must be met: Sl Xkl Can not exceed machine capacity: Sklj akljm tkjm Xkl £ ³ dk Positive number of units produced: Xkl ³ 0 ME 482 - Manufacturing Systems "m "k bm " k, l "m
Linear programming - example Consider the manufacture of 5 part types on 4 machine types, each part requiring several operations. Table 12. 18 list the pertinent data. Develop a production plan for: 1) min cost model; 2) max throughput (min processing time); and 3) workload balancing. ME 482 - Manufacturing Systems
Linear programming - example The 3 models were solved using LINDO, a linear programming package, with the results shown in Table 12. 19. The table shows that parts can be produced through a number of alternative process plans. Another table (next slide) can be generated to show the machine loading for various operations allocation strategies. ME 482 - Manufacturing Systems
Linear programming - example Note that all three models result in 100% utilization of machines m 2 and m 3, making these bottleneck machines. Consider machine m 1. Its resource utilization for the 3 models are 2400, and 2045 units of time, respectively. This information is useful for production scheduling and also for preventive maintenance. ME 482 - Manufacturing Systems To calculate these values simply multiply all the operations on each machine (each part through the machine is an operation) by the time required for each operation as given in Table 12. 18.
FMS What have we learned? ME 482 - Manufacturing Systems
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