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Economics and finance Description
Further explanation of this example:
'Applications of optimization with Xpress-MP', Chapter 13: Economics and finance problems
Source Files By clicking on a file name, a preview is opened at the bottom of this page.
Data Files
h2publ.mos (!****************************************************** Mosel Example Problems ====================== file h2publ.mos ``````````````` Planning a publicity campaign for a new product A company launches a new product and reaches out to a publicity agency to develop a publicity campaign. A maximum budget is defined for this campaign. For each media type (e.g., radio, tv, newspaper, etc.), there are the people potentially reached, the cost, the maximum use, and the index of perception quality. The campaign must reach at least a given number of people. Which media should be chosen and in which proportions (i.e., number of uses) to maximize the total sum of indexes of perception quality? This problem is represented with a simple IP model. The model is implemented in a generic way (using data arrays read from file) to make modifying the input data easier for future extensions and data instances. (c) 2008 Fair Isaac Corporation author: S. Heipcke, Mar. 2002 *******************************************************!) model "H-2 Publicity" uses "mmxprs" declarations MEDIA = 1..6 ! Set of media types REACH: array(MEDIA) of integer ! Number of people reached COST: array(MEDIA) of integer ! Unitary cost MAXUSE: array(MEDIA) of integer ! Maximum use SCORE: array(MEDIA) of integer ! Quality rating (best=highest value) BUDGET: integer ! Available publicity budget TARGET: integer ! Number of people to be reached use: array(MEDIA) of mpvar ! Use made of different media end-declarations initializations from 'h2publ.dat' REACH COST MAXUSE SCORE BUDGET TARGET end-initializations ! Objective: quality of perception of the campaign Perceive:= sum(m in MEDIA) SCORE(m)*use(m) ! Budgetary limit sum(m in MEDIA) COST(m)*use(m) <= BUDGET ! Outreach of campaign sum(m in MEDIA) REACH(m)*use(m) >= TARGET forall(m in MEDIA) do use(m) is_integer use(m) <= MAXUSE(m) end-do ! Solve the problem maximize(Perceive) ! Solution printing declarations NAMES: array(MEDIA) of string end-declarations initializations from 'h2publ.dat' NAMES end-initializations writeln("Perception: ", getobjval, " units (", getsol(sum(m in MEDIA) REACH(m)*use(m)), " people)") forall(m in MEDIA) writeln(NAMES(m), ": ", getsol(use(m))) end-model | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

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