{UTF-8}
Normal completion rate=
	Productivity * Workforce
	~	
	~		|

Completions=
	Normal completion rate * Undertime Overtime effect
	~	tasks/Month
	~		|

Undertime Overtime effect= WITH LOOKUP (
	Desired completion rate/Normal completion rate,
		([(0,0)-(2,2)],(0,0.75),(0.2,0.754386),(0.4,0.763158),(0.6,0.807018),(0.8,0.885965)\
		,(1,1),(1.2,1.12281),(1.4,1.24561),(1.6,1.35088),(1.8,1.4),(2,1.4) ))
	~	dmnl
	~		|

Recent avg orders=
	smooth(Orders,Smoothing time)
	~	tasks/Month
	~		|

Desired completion rate=
	MAX(0,Desired backlog adjustment + Recent avg orders)
	~	tasks/Month
	~		|

Smoothing time=
	6
	~	months
	~		|

Desired workforce=
	Desired completion rate/Productivity
	~	people
	~		|

Orders=
	100 * (1 + step(0.2, 6))
	~	tasks/Month
	~	Orders step up 20% at time 6
	|

Productivity=
	10
	~	tasks/person/Month
	~		|

Backlog= INTEG (
	Orders-Completions,
		Desired backlog)
	~	tasks
	~		|

Desired backlog=
	200
	~	tasks
	~		|

Desired backlog adjustment=
	(Backlog - Desired backlog)/Desired backlog adjustment time
	~	tasks/Month
	~		|

Desired backlog adjustment time=
	1
	~	months
	~		|

Net hiring=
	(Desired workforce - Workforce) / Workforce adjustment time
	~	people/Month
	~		|

Workforce= INTEG (
	Net hiring,
		Desired workforce)
	~	people
	~		|

Workforce adjustment time=
	12
	~	months
	~		|

********************************************************
	.Control
********************************************************~
		Simulation Control Parameters
	|

FINAL TIME  = 60
	~	Month
	~	The final time for the simulation.
	|

INITIAL TIME  = 0
	~	Month
	~	The initial time for the simulation.
	|

SAVEPER  = 
        TIME STEP 
	~	Month [0,?]
	~	The frequency with which output is stored.
	|

TIME STEP  = 0.0625
	~	Month [0,?]
	~	The time step for the simulation.
	|

\\\---/// Sketch information - do not modify anything except names
V300  Do not put anything below this section - it will be ignored
*View 1
$192-192-192,0,Comic Sans MS|14||0-0-0|0-0-0|0-0-255|-1--1--1|-1--1--1|96,96,100,0
10,1,Backlog,475,106,48,29,3,131,0,0,0,0,0,0
12,2,48,293,106,10,8,0,3,0,0,-1,0,0,0
1,3,5,1,4,0,0,22,0,0,0,-1--1--1,,1|(399,107)|
1,4,5,2,100,0,0,22,0,0,0,-1--1--1,,1|(331,107)|
11,5,48,365,107,6,8,34,3,0,0,1,0,0,0
10,6,Orders,365,128,33,13,40,3,0,0,-1,0,0,0
12,7,48,658,107,10,8,0,3,0,0,-1,0,0,0
1,8,10,7,4,0,0,22,0,0,0,-1--1--1,,1|(619,107)|
1,9,10,1,100,0,0,22,0,0,0,-1--1--1,,1|(551,107)|
11,10,48,585,107,6,8,34,3,0,0,1,0,0,0
10,11,Completions,585,128,51,13,40,3,0,0,-1,0,0,0
10,12,Workforce,639,373,52,29,3,131,0,0,0,0,0,0
1,13,12,46,1,0,0,0,0,64,0,-1--1--1,,1|(650,291)|
10,14,Productivity,687,172,51,13,8,3,0,0,0,0,0,0
1,15,14,46,0,0,0,0,0,64,0,-1--1--1,,1|(670,207)|
12,16,48,453,369,10,8,0,3,0,0,-1,0,0,0
1,17,19,12,4,0,0,22,0,0,0,-1--1--1,,1|(551,369)|
1,18,19,16,100,0,0,22,0,0,0,-1--1--1,,1|(483,369)|
11,19,48,509,369,6,8,34,3,0,0,1,0,0,0
10,20,Net hiring,509,390,43,13,40,3,0,0,-1,0,0,0
1,21,12,19,1,0,0,0,0,64,0,-1--1--1,,1|(549,324)|
10,22,Workforce adjustment time,408,468,71,24,8,3,0,0,0,0,0,0
1,23,22,20,1,0,0,0,0,64,0,-1--1--1,,1|(489,430)|
12,24,0,438,323,15,13,8,4,0,2,-1,0,0,0,0-0-0,0-0-0,|14||255-0-0
(B)
10,25,Desired completion rate,275,292,68,24,8,3,0,0,0,0,0,0
10,26,Desired workforce,342,373,46,24,8,3,0,0,0,0,0,0
1,27,25,26,1,0,0,0,0,64,0,-1--1--1,,1|(293,326)|
1,28,26,20,1,0,0,0,0,64,0,-1--1--1,,1|(429,399)|
10,29,Desired backlog,92,61,35,24,8,3,0,0,0,0,0,0
10,30,Desired backlog adjustment,166,159,71,24,8,3,0,0,0,0,0,0
1,31,1,30,1,0,0,0,0,64,0,-1--1--1,,1|(279,63)|
1,32,29,30,0,0,0,0,0,64,0,-1--1--1,,1|(124,104)|
10,33,Desired backlog adjustment time,101,256,71,24,8,3,0,0,0,0,0,0
1,34,33,30,0,0,0,0,0,64,0,-1--1--1,,1|(129,213)|
1,35,30,25,1,0,0,0,0,64,0,-1--1--1,,1|(186,230)|
1,36,29,1,0,0,0,0,0,64,1,-1--1--1,,1|(270,81)|
10,37,Productivity,225,441,58,13,8,2,0,3,-1,0,0,0,128-128-128,0-0-0,|14||128-128-128
1,38,37,26,0,0,0,0,0,64,0,-1--1--1,,1|(267,416)|
1,39,26,12,0,0,0,0,0,64,1,-1--1--1,,1|(480,373)|
12,40,1049106,994,284,244,197,3,188,0,0,1,0,0,0
Backlog_Workforce_dynami
10,41,Recent avg orders,293,201,48,29,3,131,0,0,0,0,0,0
1,42,6,41,1,0,0,0,0,64,0,-1--1--1,,1|(322,146)|
1,43,41,25,1,0,0,0,0,64,0,-1--1--1,,1|(275,239)|
10,44,Smoothing time,430,167,46,21,8,131,0,0,0,0,0,0
1,45,44,41,0,0,0,0,0,64,0,-1--1--1,,1|(369,181)|
10,46,Normal completion rate,642,266,68,24,8,3,0,0,0,0,0,0
1,47,46,11,1,0,0,0,0,64,0,-1--1--1,,1|(634,189)|
10,48,Undertime Overtime effect,480,225,52,29,8,131,0,0,0,0,0,0
1,49,25,48,1,0,0,0,0,64,0,-1--1--1,,1|(383,268)|
1,50,46,48,0,0,0,0,0,64,0,-1--1--1,,1|(559,245)|
1,51,48,11,1,0,0,0,0,64,0,-1--1--1,,1|(554,177)|
///---\\\
:GRAPH Backlog_Workforce_dynami
:TITLE Backlog Workforce dynamics
:X-DIV 5
:SCALE
:VAR Backlog
:LINE-WIDTH 2
:SCALE
:VAR Orders
:VAR Completions
:SCALE
:VAR Desired workforce
:VAR Workforce
:LINE-WIDTH 2
:L<%^E!@
1:wf bklg UT OT.vdf
1:wf bklg.vdf
9:wf bklg UT OT
22:$,Dollar,Dollars,$s
22:Hour,Hours
22:Month,Months
22:Person,People,Persons
22:Unit,Units
22:Week,Weeks
22:Year,Years
22:Day,Days
23:0
15:0,0,0,0,0,0
19:100,0
27:2,
34:0,
4:Time
5:Backlog
35:Date
36:YYYY-MM-DD
37:2000
38:1
39:1
40:2
41:0
24:0
25:60
26:60