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Outline

Outline. Chapter 3: Guided Tour Through Arena Chapter 4: Modeling Basic Operations and Inputs. Chapter 3 Guided Tour Through Arena. a drill press. Model 03-01. a drill press processing one type of product interarrival times ~ i.i.d. exp(5) service times ~ i.i.d. triangular (1,3,6)

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Outline

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  1. Outline • Chapter 3: Guided Tour Through Arena • Chapter 4: Modeling Basic Operations and Inputs

  2. Chapter 3 Guided Tour Through Arena

  3. a drill press Model 03-01 • a drill press processing one type of product • interarrival times ~ i.i.d. exp(5) • service times ~ i.i.d. triangular (1,3,6) • all random quantities are independent one type of parts; parts come in and are processed one by one

  4. Model 03-02 and Model 03-03 • fundamental questions • specialized or generalized workers? • effect of variability of service times? • applicant arrivals: interarrival times ~ i.i.d. exp(1.25) • four workers: all service times ~ exp(1) • Model 03-02: sequential servers • Alfie checks credit; Betty prepares covenant; Chuck prices loan; Doris disburses funds • Model 03-03: parallel servers • Each employee can do any tasks

  5. exponential service times constant service times specialized (and sequential) servers Model 03-02 Model 03-04 generalized (and parallel) servers Model 03-03 Model 03-05 Remarks for Models 03-02 to Model 03-05 • Expression Builder & the online book (Arena Variables Guide.pdf)

  6. Insights from Simulation Results • generalized (parallel) servers being better • less WIP; shorter total time in system; shorter total waiting time; higher throughput • less variable service times being better • less WIP; shorter total time in system; shorter total waiting time; higher throughput • formal proof after numerical evidence

  7. Comments on Menus and Toolbars • many • menus: Edit, View, Tools, Arrange, Object, Run, Window, Help • toolbar: Standard, Draw, Animate, Integration, View, Arrange, Run Interaction, Record Macro, AVI Capture, Animate Transfer • different levels of help • specific features of Running • no animation: fast forward or batch run • compiling by clicking F4 • debugging

  8. Chapter 4 Modeling Basic Operations & Inputs

  9. A Sequence of Related Models • Model 4-1: a sealed electronic assembly and test system • more features, • Model 4-2: additional features in scheduling, failure, and states of resources • Model 4-3: more advanced animation • Model 4-4: advanced features in moving – stations, routes, and animation

  10. Part A Process A EXPO(5) Tria(1,4,8) Rework 9% 91% Process B Shipped Tria(3,5,10) Part B Batches of 4 EXPO(30), de-batch on arrival An Electronic Assembly/Test System Scrapped Part A TRIA(1,3,4) Part B WEIB (2.5, 5.3) 20% 80% EXPO(45) Salvaged & Shipped Sealer

  11. Part A Scrapped Part A TRIA(1,3,4) Part B WEIB (2.5, 5.3) Process A 20% EXPO(5) Tria(1,4,8) 80% Rework EXPO(45) Salvaged & Shipped Sealer 9% 91% Process B Shipped Tria(3,5,10) processes Part B create batches of 4 entities & de-batch later chance create entities statistics Batches of 4 EXPO(30), de-batch on arrival time varying capacity unreliable system type-dependent service times An Electronic Assembly/Test System to determine the number of racks

  12. Model 04-01 • ignore details • the 2-minute traveling times • the working hours of stations • schedule of the re-workers • failure of the sealer • the number of racks used

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