CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMiIgaGVpZ2h0PSIzMiIgZmlsbD0ibm9uZSI+PHBhdGggZmlsbD0iI0IyMEYwMyIgZD0iTTE2IDNhMTMgMTMgMCAxIDAgMTMgMTNBMTMuMDE1IDEzLjAxNSAwIDAgMCAxNiAzbTAgMjRhMTEgMTEgMCAxIDEgMTEtMTEgMTEuMDEgMTEuMDEgMCAwIDEtMTEgMTEiLz48cGF0aCBmaWxsPSIjQjIwRjAzIiBkPSJNMTcuMDM4IDE4LjYxNUgxNC44N0wxNC41NjMgOS41aDIuNzgzem0tMS4wODQgMS40MjdxLjY2IDAgMS4wNTcuMzg4LjQwNy4zODkuNDA3Ljk5NCAwIC41OTYtLjQwNy45ODQtLjM5Ny4zOS0xLjA1Ny4zODktLjY1IDAtMS4wNTYtLjM4OS0uMzk4LS4zODktLjM5OC0uOTg0IDAtLjU5Ny4zOTgtLjk4NS40MDYtLjM5NyAxLjA1Ni0uMzk3Ii8+PC9zdmc+);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="390"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'managed',cRay: '91a1c4ba0a1a5f6c',cH: 'j7nh9gzWUmDII3v.ClilkhrpNDAAb.jmZ2qgfL2jeck-1740927676-1.2.1.1-Tw7pdg.ml8MErw8LIfKeHhi3hMLWRBfQRgU8XlkL8IJz2Fkuo_p_s8Q7T5hOBhPb',cUPMDTk: "\/abstracts\/search?q=mixed%20integer%20problem&page=324&__cf_chl_tk=bJvvMJ3uSdW3glBnAm222AihUuiNZz2EsTMxBnKmJ68-1740927676-1.0.1.1-cFI8NeeC7DkaNiMUL9fTd8eNtDija4KurvN048osSG8",cFPWv: 'b',cITimeS: '1740927676',cTTimeMs: '1000',cMTimeMs: '390000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=mixed%20integer%20problem&page=324&__cf_chl_f_tk=bJvvMJ3uSdW3glBnAm222AihUuiNZz2EsTMxBnKmJ68-1740927676-1.0.1.1-cFI8NeeC7DkaNiMUL9fTd8eNtDija4KurvN048osSG8",md: "f0yrPeinb5HexCPesIZ.Mm62.0vmtUpSvcWZ4eqwlcQ-1740927676-1.2.1.1-Q9wEY.I.AEyCSbr5vTM1oCmfKfTj2pcZzLVwfDUgdv90AecFDDWMGZDuuZ6NyHN8fTrSlTcG2cRqnAJVb6nSU4kCiU9HXBEXeOZxuSptFRc9tCT7o3mHhGwKOoYsM2zYTPCE8z9bU1QHxina1Gph_Do0EtARKbIwJh.BVypD8MqJ1SHIboc0Ml19f4KRylkD.97XsNb8zKEXKg74endNw7nVK6PptzByWmhWct4qL1eNd9r_4u4P6F0NG3Ee1_Iq6eMqvZxWP_dG.9n0k2OVVeblcWElmUlEQThgPizS42ujw3_JcKNl55tbSb1Lf7CXXNnXUW.iFQneQ3ortsVowC8.nVixzce1LYCBzFhSVz.JN0nJs9onM8hOC6NC.e1YI_yKXj4fEZiRTsIrlTjMlVXWaZPiw6UWHqbe7Q2V_6O4Esb6P6tPkAbDZOyxHzuh8yZ8wT2oRIBMtE_t6VKRxo.Knykmxr67WyG.cMpWgSd5ZkCTHh4OebNRfe7iHJ70ydSrFNFat_6gS8iUm.S7UGawGhiJ7k8cbQVWR9dhhUK4ZoK9FTCAn6Y6P7Oy.a8iKeOPo1xv7T0obH3IL1_YV6uFoSZYvUQCT9e3aehPnltAvoKFuL7SjVDn.sFmUyRE.su9SHQAwcbmlEKfC4W8EF7z_C8x28Y299Hxo_xHXxuBgQy.C7S6_9n4k_b.cjgPUzzNEMt_OEqtMhwqr7PlHT3VSj5jGRrNQVWUT5XlGcAnIR36Q3sHMYOfKYJCGybb25y0X0zjeTQvJyyXd5rH2keEr4cshVHSWahXyFRNyE8n35uB3OnJF2tkCpxDJYGxZfwhAZdJlL2TAutBt6hFqJO6U6hS7rJGlUBYcnQzF4IIZQK06W8dl_gN3UCMhH9B1aQlu.hWHRcQanLKChaCFXaBfmlszysuKaLNShMwdIUAB74QN0qN86gQzTlhzN4miQHAOi8HIc7hkSpB5FsC1tq7MRQYrhjz0hx5BuM0NJbOwnV2VCH0hI2aBmDs8xXJU2w5TY.3OXELT5g99U7emQm4mHtMP32OvXisM2RjYmDO0ZRjSHfswur2Pr.ta9BB0fOPLMDQypFgv5UOL3fRU90yw02uh_cDLQVGdiH7a7CFGLWJK99LExA3anKYodI6PC3KWUcLHV92C_UstwqZuJhiBgAzk_Jsk3NLocyCOtJhXOfABTuSRDNEEA76JxguFgGHXgH_VV8reYfIkLmaYrRS9jp_1HOH8jn4Rtn2D4eQuMvA_9dB2oM1QzbzwOQz3iGgT7lRXorpnXUlPPfAz5EKfg4OlMYiMgh6gxwmIFwR6RobcdA055bvjrpVhUgm",mdrd: "PDQ5mrRMawjWhtByFl4tHKL2vpvJYyGmqO.iKfpj44E-1740927676-1.2.1.1-yntSfllmgU2fHfJmZWP_viqxijFMZk1F85gwv7Ym2jKob8qWnCx._mPL_9mOCu7BqSfQ1l8EUA5LDR_niBmRTdBBZUlGFZoj7zVvyqeLZ6fWo7IVWPHR3TVzp9Z84XhlL2p4ALxxM99wJkbs1SoV_xuCpgh9k8IfRdMILCdFWoHY_lJXwmVD6oOA0AypJPuK.TbzuYfF5WyLLvxKBXQSe43JhlEaZW.Nt9vpVdGUp1HZaGkQP.nQC_52MIXgQoRxoufIaNfoTQM4Iw8rfL4t2sMGLKot4ppOma4RbpvQnZl526QlVPVDb..aps4dQ6C3K_J3EuSQ8TclwuKqZcsH4sfD.HU0fhfLrpMzOZhXJTbycRqdpb5qyVDVtfUNepFM7atwweudPvFCnQGvzLkxbKPqpLsifo1ZXbg3H42wsf56rGt51aw5H964wMf_wfqx_sLyA67nY.DDOWOVAUQ7BxYALL7omIT6a3OT2CVijCIFsxXkL.xq8exUq0u08sB9yBrXpdGQO1NEaMf2CDxSmhqU6C76Qs78kvTQUA.X7om.FlwBSwLbDZT.NFIha4EiNBRM.8KZqyosKGsRw6kQv6Bje8SD4o8p.eFm5hS3Mjc7ASPdeU3ep.rzOHOFJ9v8UGU8Fr_AO.WYqLeArzDmaqUJSEG3inpQm8VYtVA7fS_wKKZdCFS_g0_ds8YJ2xwVijw1wka_uXKChGT8xwqctEBjZpdQHG5kijn9PPCtHqejo.P8Pa1WgjF2SiKKu.yJ1kojODOqfpWOU6s98Gu.CDYmXfgMwEXXvr0RS6Lafg.EmlfxGWK5xQ1MWyVjqtVMf9B1t0P8kyqtK5k0YZM_4keQ5nlkxkZINDYekqclsMvOAWVkLi7hOXQZwqKMx9IY_XGgXuipRTc2kvMvR3CIDAwIEjuOJkcTC4iQRwrok5ET1VbfFWapFMD4EXv524Kew.Khn24KcQs1hlSPPvACYfsD2GbBhg.IPvN_bOLvViST8i_.vka74O4jMQS2mS_lEayRHrLNGa47ckDHMXdBzrup3i8bGb83hedZjy0TsDBFzBSrYPW058WA146Uu_bceWHHbeHYTI51aneO_EVbYoMQslYUmLSuj0gyzyGhQQqvbtc29K0LQuE8V8FZH_Bnl0dIexky_sybUGFb_r5sJ4AilHxg8E8Zfe_Dfg8oDyaYwZnqL3FMcTXY0_pYWGHZf.zIBuWIHaDvvSh83pEmL_OMsU1b8SorM86c1DWz2dxpUeQOIOjXxw8vFJSm12rwgThAbuhePgV2WhnLDaWir4cheEaBP6MF1evSN7m5joD97Tsdjh0QYFtg1j90wpNs6uLF1mMyECLNJi08_0SxE8WlBuvF9TZJGsBXj9vNi37CXKt5qHSe.VWOtLi3lz8uw55YJ79a9UcayZGHWE4DlZhTQlW_1HNvnDFmbt9RXAqVMaDdcmjU0TUaWAKvOJJo7P.GRL9OGovlOCdTrn07KIZBn9gd3Tkwyr4OGfO7ybkHpV4yqWCo7D1kymDQ7KN1JtY3izAiab96nG9RbhBpIz2HVmuRHWqft1goVGNFpyD09LE5vgFe0KxqCitVOR0CsmYWeRpp68MZB_yemQ.awjH8D8z4mJfB6TWpSgszt5HE1wPf.nl0k.d7W0NVi6M_W_mVv89.GgYMFkeA91uezzmqg5_DtWgG5Ziq1WjN0R29uJorAPteJO.Dmqn0XPPNz2HHyHJr2.U9r1cSUoGmqeDbRacxN5_Wk5sTDRpknvKEOStY_3Akvg4ZuTqZL8phj3vPyWy7hyZKHJBcJVYQHHXC0G4WhjSvTQ3aLcYpdVSgfJxY0q56KhZtMBPAn34zyOmHGZA2roxxRE8vRethIOpYzqX8ndFl4Jgn7T4FND3ZhQ5XhDrNQkGXAwdmSZKvGGnqH6rOIve.u3QRL8nRdV8tIG9U0n2c1b70JLRbHmbw6uijn3G90Fku3.LgpFB3"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=91a1c4ba0a1a5f6c';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=mixed%20integer%20problem&page=324&__cf_chl_rt_tk=bJvvMJ3uSdW3glBnAm222AihUuiNZz2EsTMxBnKmJ68-1740927676-1.0.1.1-cFI8NeeC7DkaNiMUL9fTd8eNtDija4KurvN048osSG8" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>