Chapter 4 Modeling Basic Operations Inputs 1 Outline

Chapter 4 Modeling Basic Operations & Inputs 1

Outline ö detailed operations ö Model 04 -01 ö Model 04 -02 ö Model 04 -03 ö Model 04 -04 ö general usage of ARENA 2

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

An Electronic Assembly/Test System Part A EXPO(5) Process A Tria(1, 4, 8) Part A TRIA(1, 3, 4) Part B WEIB (2. 5, 5. 3) Sealer Part B Process B Scrapped 20% Rework 9% EXPO(45) 80% Salvaged & Shipped 91% Batches of 4 EXPO(30), de- Tria(3, 5, 10) batch on arrival Shipped 4

An Electronic Assembly/Test System Part A EXPO(5) Process A Tria(1, 4, 8) Part A TRIA(1, 3, 4) Part B WEIB (2. 5, 5. 3) Sealer Part B Process B Scrapped 20% Rework 9% EXPO(45) 80% Salvaged & Shipped 91% Batches of 4 EXPO(30), de- Tria(3, 5, 10) batch on arrival Shipped processes type-dependent unreliable system create batches service times chance create entities of 4 the entities & to determine number of racks statistics de-batch later 5

Model 04 -01 ö ignore details ö the 2 -minute traveling times ö the working hours of stations ö schedule of the re-workers ö failure of the sealer ö the number of racks used 6

Remarks for Model 04 -01 two types of entities ö entity-dependent service time: an attributes of an entity: a local variable of the entity ö time in system: marking the time entering the system ö chance: conditional routes ö type dependent statistics: record mechanism ö 7

Model 04. 02 8

New Features of Model 04 -02: Refinements of Model 04 -01 ö run length 10 days, 16 hours per day ö two 8 hr shifts / day ö ö 1 re-worker in the first shift ö 2 re-workers in the second shift sealer may break down ö life time expo(120) ö repair time expo(4) ö statistics of the status of sealer: on and off ö statistics of the rework queue (distribution of # of racks) ö each rack possible to hold 10 items 9

Schedule of the Rework Station run length: Setup menu ö variable resource ö ö define schedule of re-workers (Schedule module) ö modify the # of hours per day to suit the schedule ö associate the schedule with the (resource of the) re -work station ö option on resource when a service is interrupted: ignore, wait, preempt 10

Failure of Resource ö failure of the sealer ö define a failure (Failure module in Advanced Processes) ö associate the failure with a resource ö the treatment of incomplete work at a failure ö same as schedule: ignore, wait, and preempt 11

Collect Statistics ö statistics ö time in system: customer average ö sealer: ö rack: state dependent, time average number of rack needed, time average 12

Collect Statistics ö ö to get time-in-system statistics of a type of entities (customer-average statistics) ö use Record module ö record exit time - creation time ö compile statistics to get time-persistent statistics of a collection of values of variables or a collection of states of resources ö use Statistics module (in Advance Process Template) ö may need to self-define categories 13

Statistics for Racks and for Sealers ö time-persistent statistics – Statistic module ö statistics on sealer status ö ö fraction of idle, failed, and busy time of sealer ö statistic type: frequency (not time-persistent) statistics on number of racks needed ö fractions of time for different number of racks used ö statistic type: frequency (not time-persistent) 14

Instantaneous Utilization and Scheduled Utilization ö for a resource, let ö B(t) = # of units of the resource busy at t ö M(t) = # of units of the resource available at t ö instantaneous ö scheduled utilization 15

Model 04. 03 16

New Features of Model 04 -03: Refinements of Model 04 -02 ö animation of queues ö length ö and points of queues changing entity pictures ö creating picture ö adding resource pictures ö creating ö new one: copy, edit, and assign entity resource picture from animation tool bar adding variable plots 17

Model 04. 04 18

New Features of Model 04 -04: Refinements of Model 04 -03 ö saving connection links by station and route modules ö stations: module for program and icon for animation ö route: module for program and link for animation ö possible to have multiple station icons in animation for one location ö ö two station icons between one route link in animation changing an entity picture: by an Assignment Module 19