# Mathematical Modeling and Computation of Real-Time Problems: An Interdisciplinary Approach

Section I. Operations Research ModelsA Comparative Study of Vacation Models Under Various Vacation PoliciesINTRODUCTIONSingle-Server SystemsMultiserver SystemsVALIDATION OF THE SIMULATIONDETAILS ON INPUT DATA FOR SIMULATIONCOMPARISON OF GATED, G-LIMITED, AND 7-LIMITED POLICIES AGAINST THE CLASSICAL VACATION (SINGLE-SERVER SYSTEM)INTEGRATION OF CLASSICAL, GATED, G-LIMITED, AND T-LIMITED POLICIES AND COMPARING THEIR RESPECTIVE TIMES ON VACATION (SINGLE-SERVER SYSTEM)COMPARISON IN THE CONTEXT OF MULTISERVER SYSTEMSCOMPARISON OF INTEGRATED VACATION MODELS UNDER THE ASSUMPTION OF SETUP DELAY (SINGLE-SERVER SYSTEM)COMPARISON OF THE CLASSICAL VACATION MODELS UNDER THE ASSUMPTION OF SETUP DELAY (MULTISERVER SYSTEM)CONCLUDING REMARKSREFERENCESTransient Analysis of M/M/1 Retrial Queue with Balking, Imperfect Service and Working VacationINTRODUCTIONMODEL FORMULATIONGOVERNING EQUATIONSPERFORMANCE MEASURESCOST ANALYSISSENSITIVITY ANALYSISCONCLUSIONREFERENCESFinite Capacity Tandem Queueing Network with RenegingINTRODUCTIONMODEL DESCRIPTIONPERFORMANCE MEASURESCOST FUNCTIONNUMERICAL RESULTSCONCLUSIONREFERENCESTransient Solution of Markov Model for Fault Tolerant System with RedundancyINTRODUCTIONMATHEMATICAL FORMULATIONPERFORMANCE INDICESSENSITIVITY ANALYSISCONCLUSIONREFERENCESPerformance Analysis of Markov Retrial Queueing Model under Admission Control F-PolicyINTRODUCTIONMODEL DESCRIPTIONTRANSIENT-STATE GOVERNING EQUATIONSPERFORMANCE MEASURESNUMERICAL RESULTSCONCLUSIONSREFERENCESA Study on Geo/G/1 Retrial Queueing System with Starting Failure and Customer FeedbackINTRODUCTIONOUR MODELTHE MARKOV CHAINPerformance MeasuresDeductionsSTOCHASTIC DECOMPOSITION PROPERTYNUMERICAL ILLUSTRATIONCONCLUSIONSACKNOWLEDGEMENTREFERENCESApplication of Optimization and Statistical Techniques in Post-Harvest Supply ChainINTRODUCTIONLITERATURE REVIEWAPPLICATION OF OPTIMIZATION AND STATISTICAL TECHNIQUES IN POST-HARVEST SUPPLY CHAINCONCLUSIONSREFERENCESPrioritization of Barriers for E-Waste Management in India Using Best Worst MethodINTRODUCTIONRESEARCH METHODOLOGYNUMERICAL ILLUSTRATIONResearch DesingApplication of the Best Worst Methodology (BWM) for the CaseCONCLUSIONREFERENCESSection II. Soft Computing ModelsFuzzy Analysis of Batch Arrival Priority Queueing System with BalkingINTRODUCTIONMODEL DESCRIPTIONTHE ANALYSIS AND QUEUE SIZE DISTRIBUTIONPERFORMANCE INDICIESSPECIAL CASESSENSITIVITY ANALYSISFuzzy ResultsCONCLUDING REMARKSREFERENCESApplication of Fuzzy AHP Approach for Evaluation of Sustainable Energy Sources in IndiaINTRODUCTIONLITERATURE SURVEYMETHODOLOGY OF ANALYTIC HIERARCHY PROCESS (AHP)RESULT AND DISCUSSIONCONCLUSIONSREFERENCESFuzzy Based Evaluation of Optimal Service Time Using Execution/Communication Time and ClusteringINTRODUCTIONPROBLEM STATEMENTCOMPUTATIONAL ALGORITHMPSEUDOCODE FOR METHODMATHEMATICAL IMPLEMENTATIONCONCLUSION AND DISCUSSIONREFERENCESSolving Knapsack Problem with Genetic Algorithm ApproachCONCEPT OF GENETIC ALGORITHMSTHE KNAPSACK PROBLEMSTEPS INVOLVED IN GENETIC ALGORITHMTERMINATION CONDITIONSteps for Knapsack Problem Solving with GACONCLUSIONREFERENCESSection III. Statistical ModelsA Difference-Cum-Exponential Type Efficient Estimator of Population MeanINTRODUCTIONNOTATIONS AND LITERATURE REVIEWSUGGESTED ESTIMATORSPECIAL CASESEFFICIENCY COMPARISONEMPIRICAL STUDYSIMULATIONCONCLUSIONREFERENCESA Study of After-Effects of Kerala Floods Using VIIRS-OLS Nighttime Light DataINTRODUCTIONDATASET AND STUDY AREAMETHODOLOGYRESULTS AND DISCUSSIONSREFERENCESIndian Plate Motion Revealed by GPS Observations: Preliminary ResultsINTRODUCTIONGPS OVERVIEWGPS DATA PROCESSINGTIME SERIES ANALYSISRESULTS AND DISCUSSIONSUMMARYREFERENCES