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ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9	 	
	
	
	
	
Middlesex University, London
School of Science and Technology
PDE	4905		
	
			Engineering	Simulation	
	
	
					Coursework	
	
				For	the	Academic	Year	2014-2015	
	
	
	
								Rifat	Abdul	Rahiman	
						M00514416
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
:	 	
	
Content	
	
Abstract……………………………………………………………………………………………….…..03	
Introduction……………………………………………………………………………………,……….03	
Methods…………………………………………………………………………………………….…….04	
Results………………………………………………………………………………………………….….07	
Discussion…………………………………………………………………………………………….….14	
Conclusion……………………………………………………………………………………………….14	
Bibliography…………………………………………………………………………………………….15	
Appendix…………………………………………………………………………………………………16
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
?	 	
	
A	DISCRETE	EVENT	SIMULATION	ANALYSIS	OF	A	GEARBOX	
MANUFACTURING	PLANT	USING	THE	SOFTWARE	‘WITNESS’	
	
Abstract	
Simulation	technology	and	optimization	has	been	combined	in	recent	years	which	are	used	rapidly	by	various	
industries.	One	such	combination	is	the	software	Witness.	Using	the	software	Witness,	a	model	for	the	
gearbox	manufacturing	plant	was	created	and	then	simulated	by	conducting	it	to	perform	various	tasks.	Using	
the	Witness,	a	stochastic	discrete	event	several	companies	have	improved	their	functionality.	From	the	given	
model,	when	it	was	simulated	the	effect	it	has	on	the	breakdown	of	its	machines	–	CNC	and	conveyor	belt,	in	
the	plant	and	its	performance	financially	was	calculated.	Here	the	breakdown	done	for	both	the	machines	is	
done	for	90	minutes.	Results	obtained	from	a	series	of	tests	done	on	the	system	and	more	details	about	the	
breakdown	are	explained	extensively	in	the	report.	
	
Introduction	
Simulation	is	a	cost	effective	methodology	which	is	widely	used	in	management	science	and	operations	
research.		The	implementation	of	given	manufacturing	process	in	to	simulation	model	is	a	typical	technique	
used	to	analyse	the	process	and	its	characteristics.	
Simulation	is	a	tool	used	typically	to	analyse	and	understand	the	characteristics	of	any	set	of	industrial	or	
manufacturing	processes	in	which	it’s	stochastic	and	dynamic	systems	can	be	tested	upon.	Furthermore,	other	
parameters	like	cost	and	lead	time	can	be	accurately	understood	with	rapid	configuration	adjustments	can	be	
made	(Lanner,	2008).	On	the	other	hand	simulation	models	are	a	function	that	assesses	the	value	of	any	set	of	
specifications.	They	are	optimized	to	observe	and	convert	the	input	parameters	into	its	potential	output	
results.	Optimization	can	also	be	used	to	control	the	number	of	operators	and	machines	in	addition	to	the	
management	and	maintenance	of	costs	and	resources	respectively.	Also	cycle	times	can	be	minimized	based	
on	the	formulation	of	constraints	(April,	Glover,	Kelly	and	Laguna,	2003).	
When	considering	discrete	problems,	the	methodology	of	stochastic	approximation	is	usually	applied	because	
of	its	relationship	with	gradient	search.	It	is	different	from	the	continuous	event	simulation	such	that	
instantaneous	changes	can	take	place	in	the	system	during	discrete	event	simulation,	while	it	is	impossible	to	
change	any	parameters	during	continuous	event	simulation.	Moreover	this	approximation	mentioned	focuses	
mainly	on	continuous	variable	problems	(April,	Glover,	Kelly	and	Laguna,	2003).	
One	of	the	simulation	software	used	to	process	a	discrete	event	simulation	is	WITNESS,	developed	by	the	
Lanner	Group	Inc.	which	is	mainly	used	to	simulate	a	production	or	manufacturing	process	to	analyse	and	get	
proper	information	on	it.	A	gearbox	manufacturing	plant	has	been	modelled	using	the	WITNESS	software	
according	to	the	given	conditions	and	analysed	to	calculate	the	probable	revenue	obtained	as	per	the	budget	
given.	Parts	like	gears	arrive	from	external	suppliers	after	which	it	passes	through	the	conveyor	belt	after	
which	it	is	assembled	and	then	inspected	followed	by	the	shipment	of	final	products.	CNC	machines	are	also	
used	in	the	production	while	defect	products	are	led	to	the	disassembling	area.
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
P	 	
	
	
	
The	complete	model	is	designed	and	analysed	to	find	the	desired	results	which	are	described	in	the	report	
along	with	other	breakdown	characteristics	of	the	system.	The	model	designed	consists	of	a	plant	where	the	
gears	supplied	arrives	external	source	and	fed	into	a	conveyor	belt	of	size	20m	in	length,	whose	maximum	
capacity	is	always	180	parts	with	a	maximum	speed	of	5m/min.	Gears	purchased	are	of	size	80mm	x	80mm	x	
100	mm	in	dimension.	Similar	to	gears,	bearings	and	castings	are	also	procured	which	are	fed	into	the	
assembly	and	CNC	units	respectively.	Likewise	the	conveyor	belt	also	provides	the	assembly	unit	with	gears	
from	which	gearbox	is	manufactured.		
Loading	and	unloading	of	parts	to	the	machines	are	done	continuously	by	an	operator	for	which	there	is	a	
uniformly	distributed	cycle	time.	It	is	0.5	–	1.0	minutes	and	0.5	–	0.9	minutes	respectively.	The	maximum	
capacity	of	a	bin	is	50	while	the	CNC	machining’s	cycle	time	is	2.3	minutes.		Inspection	is	done	for	every	20
th
	
gearbox	passed	and	its	cycle	time	is	triangularly	distributed	with	a	minimum,	maximum	and	a	mode	of	0.8,	2.2	
and	1.1	minutes	respectively.	Assembling	is	done	with	two	gears	and	two	bearings	by	an	operator	which	takes	
a	mean	of	3	minutes	with	a	standard	deviation	of	0.7	minutes,	but	no	less	than	2.2	minutes	and	no	greater	
than	5.	This	is	followed	by	the	assembly	to	be	put	at	testing	through	buffer	and	then	the	test	bench.	It	
processes	for	10	minutes.	An	operator	who	does	the	loading	takes	from	0.2	to	0.4	minutes	for	loading	and	
unloading	for	each	gearbox.	It	is	also	to	be	noted	that	as	per	the	given	description	disassembly	takes	a	mean	of	
2.3	minutes	with	standard	deviation	0.4,	and	between	1.7	and	3.5	minutes.	
	
Methods	
The	basis	upon	which	the	plant	was	modelled	is	by	using	Petri	Net	with	a	stochastic	set	up.	Petri	Net	founded	
by	Carl	Adam	Petri	in	1962	is	tool	used	to	create	synchronized	and	concurrent	model	in	distributed	systems.	
They	are	comprised	of	3	types	of	components	which	include	places,	transitions	and	arcs.	These	are	indicated	as	
circles,	rectangles	and	arrows	which	represents	state	of	the	system,	actions	that	result	in	change	of	state	and	
the	connection	between	place	and	transition	or	vice	versa	respectively.	It	is	to	be	noted	that	every	place	and	
arc	has	a	capacity	and	a	weight	respectively.	This	allows	separate	tokens	to	stay	in	a	place	to	model	more	
complex	systems	(Ling,	2001).	
The	required	model	was	created	using	the	WITNESS	simulation	software.	It	consists	of	various	components	like	
machines,	buffers	and	parts.	Among	these	buffers	used	in	the	system	represent	bins	and	test	actions	while	
variables	are	also	used	to	specify	their	actions.	Initially	the	gears	arrived	externally	is	supplied	to	the	assembly	
through	the	conveyor	set	a	fixed	speed.	Simultaneously	along	with	the	gears,	bearings	and	casting	are	supplied	
to	the	assembly	and	CNC	respectively.
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
R	 	
	
	
											A	Typical	example	of	a	Petri	Net	Model																								Courtesy:	Techfak	
	
The	assembly	has	a	sequential	input	rule	as	casting,	gear	and	bearing	are	pulled	in	as	per	the	given	sequence.	
The	function	used	to	define	the	structure	is	
	
SEQUENCE	/Wait	Casting	out	of	Bin#(1),	
Gear	out	of	Conveyor_Belt	at	Front#(2),	
Bearings	out	of	WORLD#(2)	
	
Furthermore	the	final	output	from	the	assembly	is	to	be	defined	as	Gearbox	where	the	function	is	
CHANGE	ALL	to	Gearbox	
	
Moreover	once	the	product	has	reached	the	inspection	station,	as	per	the	description	78%	of	the	parts	will	be	
in	the	upper	tolerance	limit.	This	function	for	the	system	has	been	structured	as	given	below.
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
S	 	
	
	
IF	Binomial	(0.78,20)	<=	N_passed	
Clean_CNC	=	1	
N_passed	=	0	
ELSE	
N_passed	=	N_passed	+	1	
ENDIF	
Castings	which	are	bored	down	are	then	let	to	the	inspection	station	from	which	it	proceed	to	the	assembly	via	
bin	if	qualified;	else	it	is	scrapped.	The	final	product	namely	Gearbox	is	then	led	to	the	test	bench	where	it	is	
tested.	If	there’s	any	error,	it	is	then	disassembled	from	the	disassembling	unit	from	which	gears	proceed	to	
the	conveyor	belt	to	repeat	the	cycle	while	the	rest	is	scrapped.	The	operator	has	been	allocated	shifts	as	
required	to	work	for	8	hours	per	week.	
	
The	Model	created	using	Witness	simulation	software	as	per	the	description	
Revenue	and	Budget	
The	revenue	is	determined	using	Witness	as	well	whereas	the	cost	is	defined	in	the	system.	Meanwhile	the	
machine	rate	is	calculated	by	obtaining	the	time	needed	to	run	the	machine	to	get	the	investment	on	machine	
back.	The	analysis	is	done	on	the	basis	of	direct	and	indirect	costs.	On	the	other	hand,	the	total	budget	
required	has	been	mentioned	as	per	the	description	of	the	plant.	The	CNC	workstation	was	purchased	for	a	
cost	£	72000	which	is	needed	to	be	repaid	in	three	years.	Nevertheless	a	budget	of	£	15000	was	allocated	to	
set	up	the	remainder	of	the	plant	where	the	costs	for	assembly	stations,	bins	and	test	benches	(per	gearbox)	is	
£1800,	£200	and	£2200	respectively.	In	addition	the	cost	for	hiring	an	operator	is	$	1500	where	the	hourly	rate	
is	£15.60	which	includes	on-costs.	This	expenditure	is	to	be	repaid	within	one	year.	The	expected	income	
from	the	sale	of	each	completed	gearbox	is	£80.	According	to	Yang,	the	revenue	for	his	kind	of	system	is	
obtained	by	using	the	equation	
	
Return	=	NShip	(Gearbox)	*	80	–	[(NQty	(Assembly)	*	0.9+NQty	(CNC)	*	24	+	NQty	(Test_Buffer)	*	0.1	+NQty	
(Test_Bench)	*	1.1+	NQty	(Operator)	*	16.35)*80]
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
T	 	
	
	
Breakdown	
One	of	the	common	occurrences	in	the	manufacturing	sector	is	the	breakdown	of	equipments	and	units.	
Multiple	breakdowns	of	units	can	be	set	in	Witness	which	has	to	be	done	through	proper	distribution.	
According	to	the	description	a	90	minutes	breakdown	has	to	be	considered	in	the	system,	which	indicates	
the	time	required	to	repair	the	specified	unit.	A	Breakdown	counter	has	been	used	and	defined	to	indicate	
the	number	of	breakdowns	that	occur.	The	time	taken	between	each	breakdown	for	the	conveyor	belt	and	
the	CNC	machine	is	8000	and	4000	respectively.	Its	function	is	defined	as		
Breakdown_counter	=	Breakdown_counter+1	
	
Results	
The	required	model	was	created	and	simulation	was	done	to	an	optimum	level	manually	to	observe	and	
analyse	the	performance.	The	Revenue	for	the	plant	was	deduced	by	manually	setting	up	the	plant	at	different	
conditions	within	the	given	budget	o	£	15000.	This	was	done	by	using	several	variables,	functions	and	variables	
along	with	the	manufacturing	unit	like	the	inspection	and	assembly	base.	Operators	were	assigned	uniform	
shifts	with	a	maximum	of	8	hours	per	day.	The	system	was	run	for	14400	minutes	to	obtain	the	results,	and	out	
of	6	different	calculations	as	given	below,	the	combination	that	gave	the	maximum	revenue	for	two	weeks	was	
£43964	for	a	budget	of	£13700.	One	of	the	tasks	required	was	to	identify	the	characteristics	of	the	system	
after	and	before	each	of	the	machines	or	unit	has	broken	down.	
	
	
Number of
Shipments
Operator
Shift
Quantity
Assembly
Quantity
Bin
Quantity
Conveyor
Belt
Quantity
Test
Bench
Quantity
Test
Buffer
Quantity
CNC
Quantity
Budget Revenue
585 1 2 1 1 2 1 2 9700 41324
620 1 3 1 1 2 1 3 11500 42132
585 2 2 1 1 2 1 3 11200 38096
620 1 3 1 1 3 1 2 13700 43964
605 1 3 1 1 3 1 3 13700 40844
555 1 1 1 1 1 1 1 5700 41004
	
Table1.	Revenue	and	Budget	Statistics	
	
One	of	the	tasks	required	was	to	identify	the	characteristics	of	the	system	after	and	before	each	of	the	
machines	or	unit	has	broken	down.	Understanding	the	breakdown	characteristics	and	its	aftereffects	will	assist	
in	managing	the	system	and	reduce	the	risk	associated	with	it.	This	is	highly	helpful	in	maintaining	the	income	
as	well.	It	is	to	be	noted	that	when	any	one	part	of	the	system	breaks	down,	it	affects	the	whole	setup	
completely.	The	conditions	for	the	breakdown	as	mentioned	earlier	are	set	in	system	and	the	performance	for	
each	unit	was	investigated	before	and	after	the	breakdown.	The	data	and	statistics	for	each	of	the	units	are	
given	below.
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
V	 	
	
	
	
	
Table	2a.	Conveyor	Belt	Statistics	before	Breakdown	
.	
	
Table	2b.	Conveyor	Belt	Statistics	after	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
W	 	
	
	
Table	3a.	CNC	Statistics	before	Breakdown	
	
	
Table	3b.	CNC	Statistics	after	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9X	 	
	
	
	
Table	4a.	Inspection	Statistics	before	Breakdown	
	
	
Table	4b.	Inspection	Statistics	after	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
99	 	
	
	
	
Table	5a.	Assembly	Statistics	before	Breakdown	
	
	
Table	5b.	Assembly	Statistics	after	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9:	 	
	
	
Table	6a.	Disassembly	Statistics	before	Breakdown	
	
	
Table	6b.	Disassembly	Statistics	after	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9?	 	
	
	
Table	7a.	Test	Bench	Statistics	before	Breakdown	
	
	
Table	7b.	Test	Bench	Statistics	after	Breakdown	
Further	statistics	are	encompassed	in	the	appendix	as	they	are	insignificant	to	the	simulation	analysis.
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9P	 	
	
	
Discussion	
The	simulated	results	obtained	for	the	system	modelled	using	Witness	was	analysed	which	give	an	
idea	about	its	characteristics.	It	was	found	that	through	manual	calculations	setting	the	budget	
within	the	required	15000	pounds	limit,	a	maximum	revenue	of	43964 pounds was achieved when using
3 assemblies and test benches along with 2 CNC machines. In addition a conveyor belt was used. A budget of
13700 pounds was used in this case. Using Witness and through optimization excellent forecasts can be
achieved for the revenue and budget which gives a good indication on what business model to use and proceed
to improve and maximize the income. Nevertheless it is only a forecast and is liable to change when compared
with the performance in the real world as the values can end up being higher or lower than the initial forecast.
The	breakdown	statistics	was	also	observed	during	the	analysis	to	understand	its	impact	on	the	
system.	The	plant	is	affected	hugely	when	any	one	of	the	units	breakdown	especially	the	conveyor	
belt	and	the	CNC	machine	because	they	are	the	units	from	which	the	system	starts	to	work.	The	
plant	tends	to	become	idle	when	they	breakdown	as	shown	in	the	data	given	earlier.	This	in	addition	
has	an	adverse	impact	on	the	revenue	of	the	plant	as	well.	Also	the	reduced	number	of	shipped	
gearboxes	can	also	be	seen	from	the	data	after	the	different	sections	have	undergone	a	breakdown,	
when	compared	with	their	data	prior	to	breakdown.		
Even	though	the	breakdown	statistics	for	each	machine	is	valuable	and	has	to	be	considered,	like	the	
optimization	of	the	software,	it	doesn’t	incur	the	real	time	aspects	and	tends	to	be	different	in	the	
real	world	compared	to	the	system.	
Conclusion	
The	model	was	designed	using	the	simulation	software	Witness	and	the	maximum	revenue	obtained	
for	a	period	of	two	weeks	was	43964	pounds	for	a	budget	of	13700	pounds.	This	indicates	that	the	
plant	can	incur	a	revenue	of	402300	pounds	per	year	based	on	the	forecast,	which	actually	is	a	
respectable	amount	of	income	when	considering	the	requirements	for	the	plant.	Moreover	from	the	
detailed	analysis	of	breakdown,	specifically	the	breakdown	counter	it	can	be	seen	that	there	is	
always	one	breakdown	in	the	plant	every	week.	This	shows	that	the	average	number	of	breakdown	
the	plant	is	expected	to	suffer	in	a	year	is	52.		
When	the	machines	or	units	break	down,	especially	the	CNC	and	conveyor	belt,	the	complete	plant	
is	affected	and	is	subjected	to	idleness	and	blockage	in	different	machines.	Nonetheless	these	results	
are	not	precise	as	they	don’t	consider	the	human,	external	or	supply	and	demand	factors	which	also	
play	a	huge	role	on	the	working	of	the	industries	and	focusing	solely	on	the	simulated	forecast	can	
also	lead	to	poor	performance.
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9R	 	
	
	
Bibliography	
	
Chris	Ling,	2001.	The	Petri	Net	Method.	[Online].		Available	on:	
www.utdallas.edu/~gupta/courses/semath/petri.ppt.	[Accessed	on	29/03/2015].	
Jay	April	Fred	Glover	James	P.	Kelly	Manuel	Laguna,	2003.	PRACTICAL	INTRODUCTION	TO	SIMULATION	
OPTIMIZATION.	[online].	Available	on:		http://www.courses.vcu.edu/MATH-
jrm/OPER641/Papers/AprilPracticalSimulationOptimization.pdf.	[Accessed	on	29/03/2015].	
Lanner,	2008.	Simulation	and	Simulation	Software	Explained.	[Online].		Available	on:	
http://www.lanner.com/en/simulation-explained.cfm.	[Accessed	on	29/03/2015].		
Ming	Chen,	n.a.	Petri	Net.	[Online].		Available	on:	http://www.techfak.uni-
bielefeld.de/~mchen/BioPNML/Intro/pnfaq.html.	[Accessed	on	29/03/2015].	
Yang	X.S,	2014.		Discrete-Event	Simulation:	Introduction	to	Witness.	Middlesex	University.	London
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9S	 	
	
	
Appendix	
	
	
	
Table	8a.	Gear	Statistics	before	Breakdown	
	
Table	8b.	Gear	Statistics	after	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9T	 	
	
	
Table	9a.	Bearing	Statistics	before	Breakdown	
	
Table	9b.	Bearing	Statistics	after	Breakdown	
	
Table	10a.	Casting	Statistics	before	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9V	 	
	
	
Table	10b.	Casting	Statistics	after	Breakdown	
	
Table	11a.	Bin	Statistics	before	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
9W	 	
	
	
Table	11b.	Bin	Statistics	after	Breakdown	
	
Table	12a.	Test	Buffer	Statistics	before	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
:X	 	
	
	
Table	12b.	Test	Buffer	Statistics	after	Breakdown	
	
Table	13a.	Gearbox	Statistics	before	Breakdown	
	
Table	13b.	Gearbox	Statistics	after	Breakdown
ENGINEERING	SIMULATION	COURSEWORK	2;	PDE	4905	 May	1,	2015	
	
:9	 	
	
	
Table	14a.	Operator	Shift	Statistics	before	Breakdown	
	
Table	14b.	Operator	Shift	Statistics	after	Breakdown

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