AN IMPROVED BINARY INTEGER PROGRAMMING MODEL OF THE BAND COLLOCATION PROBLEM WITH LIMITED RESOURCES

Conference paper > Full Text · 2024

Authors: Ahmet Tekin, Arif GÜRSOY

VII. INTERNATIONAL HALICH CONGRESS ON MULTIDISCIPLINARY SCIENTIFIC RESEARCH, Türkiye, İstanbul, International, Verbal, Full Text, 2024-2024, pp 1220-1229

Summary

<p>When&nbsp;considering&nbsp;the&nbsp;telecommunication&nbsp;sector&nbsp;as&nbsp;a&nbsp;whole,&nbsp;the&nbsp;detection&nbsp;of&nbsp;potential&nbsp;future&nbsp;complexities&nbsp;and&nbsp;the&nbsp;reduction&nbsp;of&nbsp;potential&nbsp;costs&nbsp;are&nbsp;quite&nbsp;important.&nbsp;Failure&nbsp;to&nbsp;detect&nbsp;complexities&nbsp;and&nbsp;an&nbsp;increase&nbsp;in&nbsp;costs&nbsp;can&nbsp;lead&nbsp;to&nbsp;significant&nbsp;problems.&nbsp;Fiber&nbsp;optic&nbsp;is&nbsp;a&nbsp;specialized&nbsp;communication&nbsp;technology&nbsp;that&nbsp;enables&nbsp;data&nbsp;transfer&nbsp;by&nbsp;allowing&nbsp;light&nbsp;to&nbsp;reflect&nbsp;and&nbsp;propagate&nbsp;on&nbsp;specific&nbsp;glass&nbsp;or&nbsp;plastic&nbsp;fibers.&nbsp;Instead&nbsp;of&nbsp;traditional&nbsp;metal&nbsp;cables,&nbsp;it&nbsp;conducts&nbsp;information&nbsp;transmission&nbsp;using&nbsp;light&nbsp;signals.&nbsp;There&nbsp;are&nbsp;many&nbsp;systems&nbsp;that&nbsp;facilitate&nbsp;information&nbsp;transfer,&nbsp;and&nbsp;these&nbsp;systems&nbsp;are&nbsp;highly&nbsp;important&nbsp;in&nbsp;data&nbsp;transmission.&nbsp;Dense&nbsp;Wavelength&nbsp;Division&nbsp;Multiplexing&nbsp;(DWDM)&nbsp;is&nbsp;an&nbsp;advanced&nbsp;communication&nbsp;technology&nbsp;used&nbsp;in&nbsp;fiber&nbsp;optic&nbsp;communication.&nbsp;DWDM&nbsp;is&nbsp;a&nbsp;system&nbsp;that&nbsp;can&nbsp;transmit&nbsp;numerous&nbsp;data&nbsp;streams&nbsp;simultaneously&nbsp;over&nbsp;a&nbsp;single&nbsp;fiber&nbsp;optic&nbsp;cable&nbsp;and&nbsp;separates&nbsp;data&nbsp;using&nbsp;different&nbsp;wavelengths.&nbsp;The&nbsp;Band&nbsp;Collocation&nbsp;Problem&nbsp;(BCP)&nbsp;is&nbsp;a&nbsp;combinatorial&nbsp;optimization&nbsp;problem&nbsp;used&nbsp;in&nbsp;fiber&nbsp;optic&nbsp;communication&nbsp;networks&nbsp;in&nbsp;telecommunications&nbsp;and&nbsp;has&nbsp;a&nbsp;potential&nbsp;application&nbsp;area.&nbsp;BCP&nbsp;aims&nbsp;to&nbsp;pack&nbsp;information&nbsp;flows&nbsp;from&nbsp;different&nbsp;wavelengths&nbsp;in&nbsp;the&nbsp;most&nbsp;optimal&nbsp;way,&nbsp;aiming&nbsp;to&nbsp;achieve&nbsp;the&nbsp;minimum&nbsp;possible&nbsp;cost&nbsp;alongside&nbsp;DWDM&nbsp;technology.&nbsp;Mathematical&nbsp;models&nbsp;often&nbsp;assume&nbsp;unlimited&nbsp;resource&nbsp;usage.&nbsp;However,&nbsp;in&nbsp;real-life&nbsp;problems,&nbsp;having&nbsp;unlimited&nbsp;resources&nbsp;is&nbsp;not&nbsp;possible,&nbsp;which&nbsp;is&nbsp;why&nbsp;resource&nbsp;constraints&nbsp;become&nbsp;crucial.&nbsp;Therefore,&nbsp;the&nbsp;aim&nbsp;was&nbsp;to&nbsp;improve&nbsp;the&nbsp;integer&nbsp;linear&nbsp;programming&nbsp;model&nbsp;of&nbsp;the&nbsp;problem&nbsp;to&nbsp;better&nbsp;utilize&nbsp;resources.&nbsp;The&nbsp;improved&nbsp;model&nbsp;was&nbsp;solved&nbsp;using&nbsp;NEOS&nbsp;solvers.&nbsp;Different&nbsp;examples&nbsp;from&nbsp;the&nbsp;BCP&nbsp;library&nbsp;were&nbsp;used&nbsp;in&nbsp;the&nbsp;study,&nbsp;seeking&nbsp;solutions&nbsp;in&nbsp;different&nbsp;solvers&nbsp;(CPLEX,&nbsp;Gurobi,&nbsp;COPT).&nbsp;It&nbsp;appeared&nbsp;that&nbsp;the&nbsp;best&nbsp;solutions&nbsp;in&nbsp;terms&nbsp;of&nbsp;time&nbsp;and&nbsp;cost&nbsp;were&nbsp;obtained&nbsp;from&nbsp;the&nbsp;Gurobi&nbsp;solver.&nbsp;This&nbsp;allowed&nbsp;for&nbsp;a&nbsp;comparison&nbsp;of&nbsp;solvers&nbsp;for&nbsp;the&nbsp;problem.&nbsp;The&nbsp;results&nbsp;were&nbsp;analyzed&nbsp;by&nbsp;comparing&nbsp;the&nbsp;improved&nbsp;model&nbsp;with&nbsp;the&nbsp;old&nbsp;model.&nbsp;It&nbsp;was&nbsp;observed&nbsp;that&nbsp;the&nbsp;improved&nbsp;model&nbsp;provided&nbsp;faster&nbsp;and&nbsp;better&nbsp;results.&nbsp;The&nbsp;placement&nbsp;of&nbsp;information&nbsp;packets&nbsp;sent&nbsp;through&nbsp;fiber&nbsp;optic&nbsp;cables&nbsp;is&nbsp;of&nbsp;significant&nbsp;importance.&nbsp;Technological&nbsp;advancements&nbsp;in&nbsp;fiber&nbsp;optic&nbsp;networks&nbsp;and&nbsp;the&nbsp;decreasing&nbsp;functionality&nbsp;over&nbsp;time&nbsp;indicate&nbsp;the&nbsp;need&nbsp;for&nbsp;continued&nbsp;work&nbsp;in&nbsp;this&nbsp;field.&nbsp;In&nbsp;the&nbsp;future,&nbsp;working&nbsp;with&nbsp;larger&nbsp;datasets&nbsp;is&nbsp;targeted&nbsp;along&nbsp;with&nbsp;new&nbsp;approaches.</p>

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