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Chapter 4 Modeling Basic Operations & Inputs. Outline. detailed operations Model 04-01 Model 04-02 Model 04-03 Model 04-04 general usage of ARENA. A Sequence of Related Models. Model 4-1: a sealed electronic assembly and test system more features,
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Chapter 4 Modeling Basic Operations & Inputs
Outline • detailed operations • Model 04-01 • Model 04-02 • Model 04-03 • Model 04-04 • general usage of ARENA
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
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
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 unreliable system type-dependent service times An Electronic Assembly/Test System An Electronic Assembly/Test System to determine the number of racks
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
Remarks for Model 04-01 • two types of entities • entity-dependent service time: an attributes of an entity: a local variable of the entity • time in system: marking the time entering the system • chance: conditional routes • type dependent statistics: record mechanism
New Features of Model 04-02: Refinements of Model 04-01 • run length 10 days, 16 hours per day • two 8 hr shifts / day • 1 re-worker in the first shift • 2 re-workers in the second shift • sealer may break down • life time expo(120) • repair time expo(4) • statistics of the status of sealer: on and off • statistics of the rework queue (distribution of # of racks) • each rack possible to hold 10 items
Schedule of the Rework Station • run length: Setup menu • variable resource • define schedule of re-workers (Schedule module) • modify the # of hours per day to suit the schedule • associate the schedule with the (resource of the) re-work station • option on resource when a service is interrupted: ignore, wait, preempt
Failure of Resource • failure of the sealer • define a failure (Failuremodule in Advanced Processes) • associate the failure with a resource • the treatment of incomplete work at a failure • same as schedule: ignore, wait, and preempt
Collect Statistics • statistics • time in system: customer average • sealer: state dependent, time average • rack: number of rack needed, time average
Collect Statistics • to get time-in-system statistics of a type of entities (customer-average statistics) • use Record module • record exit time - creation time • compile statistics • to get time-persistent statisticsof a collection of values of variables or a collection of states of resources • use Statisticsmodule (in Advance Process Template) • may need to self-define categories
Statistics for Racks and for Sealers • time-persistent statistics –Statistic module • statistics on sealer status • fraction of idle, failed, and busy time of sealer • statistic type: frequency (not time-persistent) • statistics on number of racks needed • fractions of time for different number of racks used • statistic type: frequency (not time-persistent)
Instantaneous Utilization and Scheduled Utilization • for a resource, let • B(t) = # of units of the resource busy at t • M(t) = # of units of the resource available at t • instantaneous utilization • scheduled utilization
New Features of Model 04-03: Refinements of Model 04-02 • animation of queues • length and points of queues • changing entity pictures • creating new one: copy, edit, and assign entity picture • adding resource pictures • creating resource picture from animation tool bar • adding variable plots
New Features of Model 04-04: Refinements of Model 04-03 • saving connection links by station and route modules • stations: module for program and icon for animation • route: module for program and link for animation • possible to have multiple station icons in animation for one location • two station icons between one route link in animation • changing an entity picture: by an Assignment Module