Performance evaluation of a Hybrid Flow Shop using Jsim

The objective is to do the performance evaluation of the given demo case using JMT software

Case Description

The Hybrid flow shop is composed of 5 machines and 5 buffers which are connected accordingly. The processing time of each machine varies according to the part(classes).

process time

Formal model

formal model

Performance Evaluation

home panel

Open JSIM graph from the various tools in the home panel of JMT software

source and sink
  1. Select the source and sink icons in the toolbar and then place it in the workspace

insert machines

Insert machines into the workspace by clicking the queue icon in the toolbar

connect machines
  1. Click on the connect stations icon and then connect all the stations with regard to the case

  2. Clicking on this icon optimizes the layout

customer class
  1. Click on the Add class button in order to the add the parts.

  2. Select open in type option

inter arrival time
  1. Click on the edit button under interarrival time distribution

  2. Select Exponential distribution

  3. Enter the generation rate of each part

reference station

Select the reference station for each class. In this case all the three parts originate from

the same source.

define M1
  1. Modify the station name as M1

  2. Select finite under the capacity and then enter the value of buffer level+1 (11) in max no. customers box

M1 service time
  1. Click on edit under service time distribution

  2. Select the deterministic distribution

  3. Enter the process time value of the part with respect to the machine M1

M1 routing part a
  1. Select probabilities as the routing strategy for part A in the routing section of the station

  2. Enter the probability as 1 for M2 and 0 for M3

M1 routing part a
  1. Select probabilities as the routing strategy for part B in the routing section of the station

  2. Enter the probability as 0 for M2 and 1 for M3

M1 routing part c
  1. Select probabilities as the routing strategy for part C in the routing section of the station

  2. Enter the probability as 1 for M2 and 0 for M3

define M2
  1. Modify the station name as M2

  2. Select finite under the capacity and then enter the value of buffer level+1 (8) in max no. customers box

M2 service time
  1. Click on edit under service time distribution

  2. Select the deterministic distribution

  3. Enter the process time value of the part with respect to the machine M2

  4. Select Zero service time as strategy for Part B

M2 routing
  1. Select probabilities as routing strategy for part A and random for part B and part C

  2. Enter probability as 1 for M4

define M3
  1. Modify the station name as M3

  2. Select finite under the capacity and then enter the value of buffer level+1 (9) in max no. customers box

M3 service time
  1. Select Zero service time as strategy for part A and part C and load independent for part B

  2. Enter 2.1 in service time distribution tab

define M4
  1. Modify the station name as M4

  2. Select finite under the capacity and then enter the value of buffer level+1 (13) in max no. customers box

M4 service time
  1. Click on edit under service time distribution

  2. Select the deterministic distribution

  3. Enter the process time value of the part with respect to the machine M4

define M5
  1. Modify the station name as M5

  2. Select finite under the capacity and then enter the value of buffer level+1 (10) in max no. customers box

M5 service time
  1. Click on edit under service time distribution

  2. Select the deterministic distribution

  3. Enter the process time value of the part with respect to the machine M5

performance indices
  1. Click on Select an index option and select Throughput and Utilization

  2. Add Utilization as index for all the machines

  3. Add Throughput as index for all the classes with respect to the system

define simulation parameters

Enter 1000000 as the maximum number of samples for running the simulation

Simulation Results

system throughput

Throughput of:

  • Part A= 0.3738

  • Part B= 0.1916

  • Part C= 0.3020

utilization
utilization

Utilization of:

  • M1=1

  • M2= 0.6957

  • M3= 0.4092

  • M4= 1

  • M5= 0.565

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