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Overview of Mosel examples for 'Business Optimization' book Description List of FICO Xpress Mosel implementations of examples discussed in the book 'J. Kallrath: Business Optimization Using Mathematical Programming - An Introduction with Case Studies and Solutions in Various Algebraic Modeling Languages' (2nd edition, Springer, Cham, 2021, DOI 10.1007/978-3-030-73237-0). List of provided model files(Examples marked with * are newly introduced in the 2nd edition, all other models have been converted from the mp-model versions that were provided with the 1st edition of the book in 1997.)
Source Files By clicking on a file name, a preview is opened at the bottom of this page. Data Files boat2.mos (!********************************************************************* Mosel Example Problems ====================== file boat2.mos `````````````` Boat problem - multiperiod Example solution for exercise 3.3 in section 3.7 of J. Kallrath: Business Optimization Using Mathematical Programming - An Introduction with Case Studies and Solutions in Various Algebraic Modeling Languages. 2nd edition, Springer Nature, Cham, 2021 author: S. Heipcke, Mar 2020 (c) Copyright 2020 Fair Isaac Corporation Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. *********************************************************************!) model 'boat2' uses "mmxprs", "mmsvg" declarations PERIODS: set of string ! Seasons p,s: array(PERIODS) of mpvar ! Numbers of premier and standard boats REVP,REVS: array(PERIODS) of real ! Revenue per boat type MCOST: array(PERIODS) of real ! Maintenance cost per period MAXB: array(PERIODS) of real ! Limit on total number of boats MAXP: array(PERIODS) of real ! Limit on number of premier boats PDESCR: array(PERIODS) of string ! Labels for pretty display end-declarations PDESCR:: (['e','h','l'])["early season", "high season", "late season"] REVP:: (['e','h','l'])[500,700,400] REVS:: (['e','h','l'])[400,600,350] MCOST:: (['e','h','l'])[1000,14000,1000] MAXB:: (['e','h','l'])[300,350,300] MAXP:: (['e','h','l'])[150,200,150] ! Objective function: total revenue Rev:= sum(t in PERIODS) (REVP(t)*p(t) + REVS(t)*s(t)) ! The total number of boats is limited forall(t in PERIODS) p(t)+s(t) <= MAXB(t) ! Limited maintenance capacity forall(t in PERIODS) 4*p(t)+3*s(t) <= MCOST(t) ! Fewer/more premier boats than standard forall(t in {'e','l'}) p(t) <= s(t) p('h') >= s('h') ! Limit on number of premier boats forall(t in PERIODS) p(t) <= MAXP(t) maximise(Rev) writeln("Solution: Revenue=", getobjval) forall(t in PERIODS) writeln(strfmt(PDESCR(t),-15), "Premier:", p(t).sol, " Standard:", s(t).sol) ! Graphical representation of the solution BWIDTH:=1/(PERIODS.size+2) BHEIGHT:=max(t in PERIODS) MAXB(t) WFAC:= BHEIGHT/2 forall(b in ["standard","premier"]) do pids(b):=b svgaddgroup(pids(b),b+" boats") svgsetstyle(SVG_FILL, SVG_CURRENT) svgsetstyle(SVG_STROKE, SVG_GREY) svgsetstyle(SVG_STROKEWIDTH, BWIDTH/2) end-do tpos:=0.0 svgaddgroup("msg","Periods",SVG_BLACK) svgsetstyle(SVG_FONTSIZE, 7) forall(t in ['e','h','l']) do svgaddtext("msg",tpos+1,1,PDESCR(t)) vpos:=p(t).sol svgaddrectangle(pids("premier"), tpos, 0, BWIDTH*WFAC, vpos) svgaddrectangle(pids("standard"), tpos, vpos, BWIDTH*WFAC, s(t).sol) tpos+=(BWIDTH*WFAC*1.25) end-do svgsetgraphviewbox(0,0,PERIODS.size*BWIDTH*WFAC*1.25,BHEIGHT+10) svgsetgraphlabels("Seasons", "Number of boats") ! Draw the graph svgrefresh ! Optionally save graphic to a file svgsave("boat2.svg") ! Wait for display window to close svgwaitclose("Close browser window to terminate model execution.", 1) end-model | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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