1function [QN,UN,RN,TN,CN,XN,actualMethod] = solver_qns(sn, options)
2% [Q,U,R,T,C,X] = SOLVER_QNS(QN, OPTIONS)
4% Copyright (c) 2012-2026, Imperial College London
7M = sn.nstations; % number of stations
8K = sn.nclasses; % number of
classes
17filePath = lineTempName(
'qns');
19fname = [fileName,
'.jmva'];
20logFileName =
'console';
21logfname = [logFileName,
'.out'];
22outputFileName = [filePath,filesep,fname];
23outputFileName = SolverJMT.writeJMVA(sn, outputFileName, options);
25ofname = [fileName,
'.jmva'];
26resultFileName = [filePath,filesep,ofname];
27%stationames={sn.nodenames{sn.isstation}};
29% Track the actual method that will be used
30actualMethod = options.method;
32line_debug(
'QNS solver starting: nstations=%d, nclasses=%d, method=%s', M, K, options.method);
36 options.config.multiserver=
'conway';
38 options.config.multiserver=
'reiser';
40 options.config.multiserver=
'rolia';
42 options.config.multiserver=
'zhou';
44if any(sn.nservers>1 & sn.nservers<Inf)
45 line_debug(
'Multi-server queues detected, selecting multiserver method');
46 switch options.config.multiserver
47 case {
'default',
'conway'}
48 if strcmpi(options.config.multiserver,
'default')
49 line_debug('Default method: using Conway multiserver approximation\n');
51 line_debug('Using Conway multiserver approximation');
53 cmd=['qnsolver -l ',outputFileName,' -mconway -o ',resultFileName,' > ',logfname];
55 cmd=['qnsolver -l ',outputFileName,' -mconway -o ',resultFileName,' > ',logfname,' 2>&1'];
57 actualMethod = 'conway';
59 line_debug('Using Reiser multiserver approximation');
61 cmd=['qnsolver -l ',outputFileName,' -mreiser -o ',resultFileName,' > ',logfname];
63 cmd=['qnsolver -l ',outputFileName,' -mreiser -o ',resultFileName,' > ',logfname,' 2>&1'];
65 actualMethod = 'reiser';
67 line_debug('Using Rolia multiserver approximation');
69 cmd=['qnsolver -l ',outputFileName,' -mrolia -o ',resultFileName,' > ',logfname];
71 cmd=['qnsolver -l ',outputFileName,' -mrolia -o ',resultFileName,' > ',logfname,' 2>&1'];
73 actualMethod = 'rolia';
75 line_debug('Using Zhou multiserver approximation');
77 cmd=['qnsolver -l ',outputFileName,' -mzhou -o ',resultFileName,' > ',logfname];
79 cmd=['qnsolver -l ',outputFileName,' -mzhou -o ',resultFileName,' > ',logfname,' 2>&1'];
81 actualMethod = 'zhou';
85 cmd=['qnsolver -l ',outputFileName,' -o ',resultFileName,' > ',logfname];
87 cmd=['qnsolver -l ',outputFileName,' -o ',resultFileName,' > ',logfname,' 2>&1'];
91if GlobalConstants.Verbose == VerboseLevel.DEBUG
92 line_printf('SolverQNS command:\n');
96name = cell(sn.nstations*(sn.nchains+1),0);
97Uchain = zeros(0,sn.nchains);
98Qchain = zeros(0,sn.nchains);
99Wchain = zeros(0,sn.nchains);
100Tchain = zeros(0,sn.nchains);
101[Lchain,STchain,Vchain,alpha,~,~,~] = sn_get_demands_chain(sn);
102%Lchain = zeros(sn.nstations,sn.nchains); % uncomment for starred output
106 fid=fopen(resultFileName,
'r');
109 strline = fgetl(fid);
111 [Uchain, Qchain, Wchain, Tchain, statlabel] = parse_dollar_output_singleclass(strline, Uchain, Qchain, Wchain, Tchain);
113 [Uchain, Qchain, Wchain, Tchain, statlabel] = parse_dollar_output(strline, Uchain, Qchain, Wchain, Tchain);
115 if ~isempty(statlabel)
116 statName{end+1} = statlabel;
118 %[Lchain, Uchain, Qchain, Wchain, Tchain] = parse_starred_output(strline, Lchain, Uchain, Qchain, Wchain, Tchain);
122 line_warning(mfilename,
'Failed execution: cannot open the qnsolver output file at: ');
123 line_warning(mfilename,resultFileName)
133% Build reorder mapping: maps model station index to qnsolver output row
134% Initialize with zeros (will remain 0
for stations not found in qnsolver output)
135stationToOutputRow = zeros(1, sn.nnodes);
136for i=1:length(statName)
137 idx = find(cellfun(@(x)strcmp(x,statName{i}),sn.nodenames));
139 stationToOutputRow(idx) = i;
143% Create reordered arrays
for stations only
144% Stations are the first sn.nstations
nodes
145UchainReordered = zeros(sn.nstations, sn.nchains);
146QchainReordered = zeros(sn.nstations, sn.nchains);
147WchainReordered = zeros(sn.nstations, sn.nchains);
148TchainReordered = zeros(sn.nstations, sn.nchains);
151 outputRow = stationToOutputRow(i);
153 UchainReordered(i,:) = Uchain(outputRow,:);
154 QchainReordered(i,:) = Qchain(outputRow,:);
155 WchainReordered(i,:) = Wchain(outputRow,:);
156 TchainReordered(i,:) = Tchain(outputRow,:);
160Uchain = UchainReordered;
161Qchain = QchainReordered;
162Wchain = WchainReordered;
163Tchain = TchainReordered;
165ref= zeros(sn.nchains,1);
167 chain = find(sn.chains(c,:));
168 Xchain(c)=Tchain(sn.refstat(c),c);
170%Rchain=Wchain./Vchain; % needs to be reinstated
for starred output
172Rchain(isnan(Rchain))=0;
174 if ~isinf(sn.nservers(i))
175 Uchain(i,:) = Uchain(i,:) / sn.nservers(i);
179[QN,UN,RN,TN,CN,XN] = sn_deaggregate_chain_results(sn, Lchain, [], STchain, Vchain, alpha, [], [], Rchain, Tchain, [], Xchain);
182function [Uchain, Qchain, Wchain, Tchain, statName] = parse_dollar_output(strline, Uchain, Qchain, Wchain, Tchain)
184if any(find(strline==
','))
185 if any(find(strline=='$'))
190 str=strrep(strline,' ','');
191 str=strsplit(str,',');
192 Uchain(end+1,1:R) = 0;
193 Qchain(end+1,1:R) = 0;
194 Wchain(end+1,1:R) = 0;
195 Tchain(end+1,1:R) = 0;
197 statName{end+1} = str{1};
199 Qchain(end,r)=str2num(str{ptr+r});
201 ptr = ptr + 1 + R; % skip aggregate value
203 Wchain(end,r)=str2num(str{ptr+r});
205 ptr = ptr + 1 + R; % skip aggregate value
207 Uchain(end,r)=str2num(str{ptr+r});
209 ptr = ptr + 1 + R; % skip aggregate value
211 Tchain(end,r)=str2num(str{ptr+r});
215%Station, $Q(Chain01), $Q(Chain02), $Q, $R(Chain01), $R(Chain02), $R, $U(Chain01), $U(Chain02), $U, $X(Chain01), $X(Chain02), $X
216%Delay1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.63033, 7.40631, 10.0366
217%Queue1, 4, 4, 8, 1.52072, 0.54008, 0.797079, 1, 1, 2, 2.63033, 7.40631, 10.0366
220function [Uchain, Qchain, Wchain, Tchain, statName] = parse_dollar_output_singleclass(strline, Uchain, Qchain, Wchain, Tchain)
222if any(find(strline==
','))
223 if any(find(strline=='$'))
228 str=strrep(strline,' ','');
229 str=strsplit(str,',');
230 Uchain(end+1,1:R) = 0;
231 Qchain(end+1,1:R) = 0;
232 Wchain(end+1,1:R) = 0;
233 Tchain(end+1,1:R) = 0;
235 statName{end+1} = str{1};
237 Qchain(end,r)=str2num(str{ptr+r});
241 Wchain(end,r)=str2num(str{ptr+r});
245 Uchain(end,r)=str2num(str{ptr+r});
249 Tchain(end,r)=str2num(str{ptr+r});
253%Station, $Q(Chain01), $Q(Chain02), $Q, $R(Chain01), $R(Chain02), $R, $U(Chain01), $U(Chain02), $U, $X(Chain01), $X(Chain02), $X
254%Delay1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2.63033, 7.40631, 10.0366
255%Queue1, 4, 4, 8, 1.52072, 0.54008, 0.797079, 1, 1, 2, 2.63033, 7.40631, 10.0366
258function [Lchain, Uchain, Qchain, Wchain, Tchain] = parse_starred_output(strline, Lchain, Uchain, Qchain, Wchain, Tchain)
259if any(find(strline==
'.'))
261 str=strrep(str,' ','');
262 %[name,service,busypct,custnb,response,thruput]
263 str=strsplit(str,'*');
266 chainnum = strrep(name,
'(Chain',
'');
267 chainnum = str2num(strrep(chainnum,
')',
''));
268 Lchain(i,chainnum) = str2num(str{2});
269 Uchain(i,chainnum) = str2num(str{3});
270 Qchain(i,chainnum) = str2num(str{4});
271 Wchain(i,chainnum) = str2num(str{5});
272 Tchain(i,chainnum) = str2num(str{6});
274 i=find(cellfun(@any,strfind(stationames,name)));