{"id":27686,"date":"2015-06-17T12:15:10","date_gmt":"2015-06-17T08:45:10","guid":{"rendered":"http:\/\/www.irantahgig.ir\/?p=27686"},"modified":"2015-06-17T12:15:10","modified_gmt":"2015-06-17T08:45:10","slug":"%d9%81%d8%b1%d9%85%d9%88%d9%84%d9%87-%d8%b3%d8%a7%d8%b2%db%8c-%d8%a8%d8%b1%d9%86%d8%a7%d9%85%d9%87-%d8%b1%db%8c%d8%b2%db%8c-%d9%87%d8%af%d9%81-%da%86%d9%86%d8%af-%d8%a7%d9%86%d8%aa%d8%ae%d8%a7%d8%a8","status":"publish","type":"post","link":"http:\/\/www.irantahgig.ir\/?p=27686","title":{"rendered":"\u0641\u0631\u0645\u0648\u0644\u0647 \u0633\u0627\u0632\u06cc \u0628\u0631\u0646\u0627\u0645\u0647 \u0631\u06cc\u0632\u06cc \u0647\u062f\u0641 \u0686\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u062a\u0627\u0628\u0639 \u0639\u062f\u062f\u06cc \u0633\u0627\u0632\u06cc \u0645\u062e\u0631\u0648\u0637\u06cc"},"content":{"rendered":"

Multi-choice goal programming formulation based on the conic scalarizing function<\/span><\/p>\n

\u062a\u0627\u0631\u06cc\u062e:<\/strong> \u06f2\u06f0\u06f1\u06f2<\/span><\/p>\n

\u067e\u0627\u06cc\u06af\u0627\u0647: <\/strong>\u0627\u0644\u0632\u0648\u06cc\u0631<\/span><\/p>\n

\u0644\u06cc\u0646\u06a9 \u062f\u0627\u0646\u0644\u0648\u062f \u0627\u0635\u0644 \u0645\u0642\u0627\u0644\u0647<\/a><\/span><\/p>\n

\"OK\"<\/span><\/p>\n

\t

\n\n\t\t\n\t\t
\n\t\t\t200,000 \u0631\u06cc\u0627\u0644 – \u0627\u0636\u0627\u0641\u0647\u200c\u06a9\u0631\u062f\u0646 \u0628\u0647 \u0633\u0628\u062f\u062e\u0631\u06cc\u062f<\/span> <\/span><\/a>\u0646\u0647\u0627\u06cc\u06cc \u06a9\u0631\u062f\u0646 \u062e\u0631\u06cc\u062f<\/a>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t<\/svg>\n\t\t\t\t\t\t\u0645\u0648\u0631\u062f \u0628\u0647 \u0633\u0628\u062f \u062e\u0631\u06cc\u062f \u0627\u0636\u0627\u0641\u0647 \u0634\u062f\t\t\t\t\t<\/span>\n\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t

<\/span><\/p>\n

\u0646\u0627\u0645 \u0645\u062c\u0644\u0647:\u00a0<\/strong>Applied Mathematical Modelling<\/span><\/span><\/p>\n

\u0642\u06cc\u0645\u062a:<\/strong> \u06f2\u06f0\u06f0,\u06f0\u06f0\u06f0 \u0631\u06cc\u0627\u0644<\/span><\/p>\n

\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc:<\/strong> \u06f1\u06f5<\/span><\/p>\n

\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a \u0641\u0627\u0631\u0633\u06cc:<\/strong> \u06f3\u06f9<\/span><\/p>\n

\u06a9\u062f: <\/strong>\u06f4\u06f0\u06f0\u06f2\u06f5<\/span><\/p>\n

\u0686\u06a9\u06cc\u062f\u0647 \u0641\u0627\u0631\u0633\u06cc<\/span><\/h3>\n

\u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0631\u06cc\u0632\u06cc \u0647\u062f\u0641 \u0686\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0647 \u062a\u0635\u0645\u06cc\u0645\u200c\u06af\u06cc\u0631\u0646\u062f\u0647 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f \u06a9\u0647 \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u0686\u0646\u062f\u06cc\u0646 \u0633\u0637\u062d \u0645\u0637\u0644\u0648\u0628 \u0686\u0646\u062f\u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0631\u0627\u06cc \u0647\u0631 \u0647\u062f\u0641 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u062f\u060c \u0628\u0637\u0648\u0631\u06cc \u06a9\u0647 \u0627\u0632 \u0633\u0647\u0644\u200c\u0627\u0646\u06af\u0627\u0631\u06cc \u062f\u0631 \u062a\u0635\u0645\u06cc\u0645\u200c\u06af\u06cc\u0631\u06cc \u062c\u0644\u0648\u06af\u06cc\u0631\u06cc \u06a9\u0646\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647\u060c \u06cc\u06a9 \u0641\u0631\u0645\u0648\u0644\u0647\u200c\u0633\u0627\u0632\u06cc \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0628\u0631\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0631\u06cc\u0632\u06cc \u0647\u062f\u0641 \u0686\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u062a\u0627\u0628\u0639 \u0639\u062f\u062f\u06cc \u0633\u0627\u0632\u06cc \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u062f\u0647\u06cc\u0645 \u06a9\u0647 \u062f\u0631 \u0622\u0646: (\u06f1) \u0641\u0631\u0645\u0648\u0644\u0647 \u0633\u0627\u0632\u06cc \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0628\u0647 \u062a\u0635\u0645\u06cc\u0645\u200c\u06af\u06cc\u0631\u0646\u062f\u06af\u0627\u0646 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f \u06a9\u0647 \u0633\u0637\u0648\u062d \u0645\u0637\u0644\u0648\u0628 \u0686\u0646\u062f\u200c\u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0647\u062f\u0641 \u0628\u0645\u0646\u0638\u0648\u0631 \u062f\u0633\u062a\u06cc\u0627\u0628\u06cc \u0628\u0647 \u067e\u0627\u0633\u062e \u06a9\u0627\u0631\u0627\u0645\u062f \u062f\u0631 \u0646\u0627\u062d\u06cc\u0647 \u062c\u0647\u0627\u0646\u06cc \u0631\u0627 \u0645\u0634\u062e\u0635 \u06a9\u0646\u062f. (\u06f2) \u0641\u0631\u0645\u0648\u0644\u0647 \u0633\u0627\u0632\u06cc \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u0648 \u0642\u06cc\u0648\u062f \u06a9\u0645\u06a9\u06cc \u0631\u0627 \u06a9\u0627\u0647\u0634 \u0645\u06cc\u200c\u062f\u0647\u062f. (\u06f3) \u0645\u062f\u0644 \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0628\u062f\u0633\u062a \u0622\u0648\u0631\u062f\u0646 \u0646\u0642\u0627\u0637 \u06a9\u0627\u0645\u0644\u0623 \u06a9\u0627\u0631\u0627\u0645\u062f(\u0627\u0632 \u0646\u0642\u0637\u0647 \u0646\u0638\u0631 \u0628\u0646\u0633\u0648\u0646 ) \u0631\u0627 \u062a\u0636\u0645\u06cc\u0646 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u0628\u0645\u0646\u0638\u0648\u0631 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0646 \u0645\u0641\u06cc\u062f \u0628\u0648\u062f\u0646 \u0641\u0631\u0645\u0648\u0644\u0647 \u0633\u0627\u0632\u06cc \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0645\u062b\u0627\u0644\u200c\u0647\u0627 \u0648 \u0645\u0633\u0627\u0626\u0644\u06cc \u0646\u06cc\u0632 \u0628\u0631\u0627\u06cc \u062a\u0633\u062a \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\n

\u0686\u06a9\u06cc\u062f\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/span><\/h3>\n

The multi-choice goal programming allows the decision maker to set multi-choice aspiration levels for each goal to avoid underestimation of the decision. In this paper, we propose an alternative multi-choice goal programming formulation based on the conic scalarizing function with three contributions: (1) the alternative formulation allows the decision maker to set multi-choice aspiration levels for each goal to obtain an efficient solution in the global region, (2) the proposed formulation reduces auxiliary constraints and additional variables, and (3) the proposed model guarantees to obtain a properly efficient (in the sense of Benson) point. Finally, to demonstrate the usefulness of the proposed formulation, illustrative examples and test problems are included<\/span><\/p>\n

\u0645\u0634\u062e\u0635\u0627\u062a \u0627\u0633\u062a\u0646\u0627\u062f\u06cc<\/strong><\/span><\/h3>\n

Ustun, O. (2012). Multi-choice goal programming formulation based on the conic scalarizing function. Applied Mathematical Modelling, 36(3), 974-988<\/span><\/p>\n

\u062f\u0627\u0646\u0644\u0648\u062f \u0627\u0635\u0644 \u0645\u0642\u0627\u0644\u0647<\/span><\/h3>\n

\"10002icon\"<\/a>\u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u0645\u0642\u0627\u0644\u0647 \u0641\u0631\u0645\u0648\u0644\u0647 \u0633\u0627\u0632\u06cc \u0628\u0631\u0646\u0627\u0645\u0647 \u0631\u06cc\u0632\u06cc \u0647\u062f\u0641 \u0686\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u062a\u0627\u0628\u0639 \u0639\u062f\u062f\u06cc \u0633\u0627\u0632\u06cc \u0645\u062e\u0631\u0648\u0637\u06cc<\/span><\/h1>\n

\u0645\u0642\u0627\u0644\u0647 “\u0641\u0631\u0645\u0648\u0644\u0647 \u0633\u0627\u0632\u06cc \u0628\u0631\u0646\u0627\u0645\u0647 \u0631\u06cc\u0632\u06cc \u0647\u062f\u0641 \u0686\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u062a\u0627\u0628\u0639 \u0639\u062f\u062f\u06cc \u0633\u0627\u0632\u06cc \u0645\u062e\u0631\u0648\u0637\u06cc” \u062f\u0631 \u0633\u0627\u0644 \u06f2\u06f0\u06f1\u06f2 \u062f\u0631 \u0645\u062c\u0644\u0647\u00a0Applied Mathematical Modelling<\/span> \u0686\u0627\u067e \u0634\u062f\u0647 \u0648 \u062f\u0631 \u067e\u0627\u06cc\u06af\u0627\u0647 \u0627\u0637\u0644\u0627\u0639\u0627\u062a\u06cc \u0627\u0644\u0632\u0648\u06cc\u0631 \u0646\u0645\u0627\u06cc\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0628\u0631\u0631\u0633\u06cc\u00a0\u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0631\u06cc\u0632\u06cc \u0647\u062f\u0641 \u0686\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0648\u00a0\u0641\u0631\u0645\u0648\u0644\u0647\u200c\u0633\u0627\u0632\u06cc \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0628\u0631\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0631\u06cc\u0632\u06cc \u0647\u062f\u0641 \u0686\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u062a\u0627\u0628\u0639 \u0639\u062f\u062f\u06cc \u0633\u0627\u0632\u06cc \u067e\u0631\u062f\u0627\u062e\u062a\u0647 \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u0631\u0627\u0633\u0627\u0633 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u067e\u0627\u06cc\u06af\u0627\u0647 \u0627\u0637\u0644\u0627\u0639\u0627\u062a\u06cc \u06af\u0648\u06af\u0644 \u0627\u0633\u06a9\u0648\u0644\u0627\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u06f1\u06f1 \u0628\u0627\u0631 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0646\u0627\u062f \u0642\u0631\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0627\u0633\u062a.<\/span><\/p>\n

\t\n\n\t\t\n\t\t

\n\t\t\t200,000 \u0631\u06cc\u0627\u0644 – \u0627\u0636\u0627\u0641\u0647\u200c\u06a9\u0631\u062f\u0646 \u0628\u0647 \u0633\u0628\u062f\u062e\u0631\u06cc\u062f<\/span> <\/span><\/a>\u0646\u0647\u0627\u06cc\u06cc \u06a9\u0631\u062f\u0646 \u062e\u0631\u06cc\u062f<\/a>\n\t\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t<\/svg>\n\t\t\t\t\t\t\u0645\u0648\u0631\u062f \u0628\u0647 \u0633\u0628\u062f \u062e\u0631\u06cc\u062f \u0627\u0636\u0627\u0641\u0647 \u0634\u062f\t\t\t\t\t<\/span>\n\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t

Multi-choice goal programming formulation based on the conic scalarizing function \u062a\u0627\u0631\u06cc\u062e: \u06f2\u06f0\u06f1\u06f2 \u067e\u0627\u06cc\u06af\u0627\u0647: \u0627\u0644\u0632\u0648\u06cc\u0631 \u0644\u06cc\u0646\u06a9 \u062f\u0627\u0646\u0644\u0648\u062f \u0627\u0635\u0644 \u0645\u0642\u0627\u0644\u0647<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[84,127,399,425,316],"tags":[],"_links":{"self":[{"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=\/wp\/v2\/posts\/27686"}],"collection":[{"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27686"}],"version-history":[{"count":1,"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=\/wp\/v2\/posts\/27686\/revisions"}],"predecessor-version":[{"id":27718,"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=\/wp\/v2\/posts\/27686\/revisions\/27718"}],"wp:attachment":[{"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27686"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=27686"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.irantahgig.ir\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=27686"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}