Mbot at 13:34, 8 November 2011

2011-11-08T13:34:09Z

← Older revision		Revision as of 09:34, 8 November 2011
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	<pre>		<pre>
	Problem type appears to be: con		Problem type appears to be: con
	Time for symbolic processing: 0.~~083218~~ seconds		Time for symbolic processing: 0.085593 seconds
	Starting numeric solver		Starting numeric solver
	===== * * * =================================================================== * * *		===== * * * =================================================================== * * *
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	FuncEv 47 GradEv 45 Iter 38 MinorIter 181		FuncEv 47 GradEv 45 Iter 38 MinorIter 181
	CPU time: 0.015600 sec. Elapsed time: 0.~~019000~~ sec.		CPU time: 0.015600 sec. Elapsed time: 0.020000 sec.

	</pre>		</pre>

Mbot: Created page with "{{Part Of Manual|title=the TomSym Manual|link=TomSym Manual}} TomSym implementation of GAMS Example (POLLUT,SEQ=96) This is an example of planning production within ..."

2011-11-02T21:02:31Z

Created page with "{{Part Of Manual|title=the TomSym Manual|link=TomSym Manual}} TomSym implementation of GAMS Example (POLLUT,SEQ=96) This is an example of planning production within ..."

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{{Part Of Manual|title=the TomSym Manual|link=[[TomSym|TomSym Manual]]}}

TomSym implementation of GAMS Example (POLLUT,SEQ=96)

This is an example of planning production within certain pollution standards.

Mangasarian, O L, Nonlinear Programming. McGraw Hill, New York, 1973.

j: (food, textile, apparel, lumber, furniture, pulp+paper printing, chemicals, coal+petro, rubber, leather clay+stone, steel, nf-metals, metals-pr, machinery elec-mach, transport, prec-mach, misc)

i: pollutant (cod, so2, land, water)

<source lang="matlab">
% Matrix w(j,i) unit load
w = [.08488 .00909 .02990 .07195;
.03353 .02470 .08980 .17032;
.03353 .02470 .02780 .01345;
.00135 .00084 .06890 .01606;
.00153 .00084 .03500 .01429;
.23368 .07461 .04690 .15532;
.07609 .05767 .01290 .01850;
.07689 .05767 .05370 .09680;
.03736 .01663 .27080 .02900;
.02794 .00456 .06040 .09200;
.02794 .00456 .04980 .07320;
.00213 .08800 .11510 .09520;
.00633 .02361 .08900 .07780;
.00091 .03376 .02670 .03720;
.00125 .00860 .06790 .04930;
.00089 .00376 .06210 .02480;
.00123 .00369 .02950 .02300;
.00079 .00127 .07870 .04300;
.00396 .00252 .03830 .03010;
.00931 .00252 .04240 .03500];

% Matrix z(j,*) other data
z = [9.600 .121 .1064 29406 24709;
6.353 .194 .1611 21375 18918;
9.818 .204 .0848 8423 20636;
7.371 .181 .1428 13873 10457;
10.220 .171 .0955 8470 9739;
6.255 .145 .1759 36375 18880;
8.149 .304 .2190 66016 44480;
7.794 .146 .1439 80134 36526;
8.400 .173 .1314 1327 758;
9.933 .174 .0987 4414 4921;
11.069 .167 .0817 3709 6766;
6.528 .192 .1665 14496 9368;
7.928 .116 .1448 102399 31127;
10.559 .091 .1026 28008 1166;
6.606 .227 .1567 69314 59525;
7.153 .208 .1506 90014 63048;
11.146 .151 .0895 29360 29839;
6.884 .199 .1602 27687 16945;
6.660 .253 .1446 4009 4828;
7.929 .182 .1256 24323 24569];

% Scalars
a = .6;
b = 1.4;
gamma1 = 1.4;
gamma2 = 0.9;

% Parameter tau(i)
tau = [.153e6 .12e6 .25e6 .25e6];

% Variables (k = capital, l = labor)
k = tom('k',size(w,1),1);
l = tom('l',size(w,1),1);

output = sum(z(:,1).*k.^(1-z(:,2)).*l.^z(:,2));

tk = sum(k);
tl = sum(l);

constr = {
sum(w.*repmat(k./z(:,3),1,size(w,2))) <= tau
tk >= gamma2*tl
tk <= gamma1*tl
a*z(:,4) <= k <= b*z(:,4)
a*z(:,5) <= l <= b*z(:,5)
};

guess = [];

options = struct;
options.name = 'pollution';
solution = ezsolve(-output,constr,guess,options);
</source>

<pre>
Problem type appears to be: con
Time for symbolic processing: 0.083218 seconds
Starting numeric solver
===== * * * =================================================================== * * *
TOMLAB - TOMLAB Development license 999007. Valid to 2011-12-31
=====================================================================================
Problem: --- 1: pollution f_k -5353268.628746992900000000
sum(|constr|) 0.000000000000000233
f(x_k) + sum(|constr|)-5353268.628746992900000000
f(x_0)-2887851.467224993300000000

Solver: snopt. EXIT=0. INFORM=1.
SNOPT 7.2-5 NLP code
Optimality conditions satisfied

FuncEv 47 GradEv 45 Iter 38 MinorIter 181
CPU time: 0.015600 sec. Elapsed time: 0.019000 sec.

</pre>

TomSym Industrial Pollution Control - Revision history

Mbot at 13:34, 8 November 2011

Mbot: Created page with "{{Part Of Manual|title=the TomSym Manual|link=TomSym Manual}} TomSym implementation of GAMS Example (POLLUT,SEQ=96) This is an example of planning production within ..."