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

Section I. Operations Research Models A Comparative Study of Vacation Models Under Various Vacation Policies INTRODUCTION Single-Server Systems Multiserver Systems VALIDATION OF THE SIMULATION DETAILS ON INPUT DATA FOR SIMULATION COMPARISON 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 SYSTEMS COMPARISON 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 REMARKS REFERENCES Transient Analysis of M/M/1 Retrial Queue with Balking, Imperfect Service and Working Vacation INTRODUCTION MODEL FORMULATION GOVERNING EQUATIONS PERFORMANCE MEASURES COST ANALYSIS SENSITIVITY ANALYSIS CONCLUSION REFERENCES Finite Capacity Tandem Queueing Network with Reneging INTRODUCTION MODEL DESCRIPTION PERFORMANCE MEASURES COST FUNCTION NUMERICAL RESULTS CONCLUSION REFERENCES Transient Solution of Markov Model for Fault Tolerant System with Redundancy INTRODUCTION MATHEMATICAL FORMULATION PERFORMANCE INDICES SENSITIVITY ANALYSIS CONCLUSION REFERENCES Performance Analysis of Markov Retrial Queueing Model under Admission Control F-Policy INTRODUCTION MODEL DESCRIPTION TRANSIENT-STATE GOVERNING EQUATIONS PERFORMANCE MEASURES NUMERICAL RESULTS CONCLUSIONS REFERENCES A Study on Geo/G/1 Retrial Queueing System with Starting Failure and Customer Feedback INTRODUCTION OUR MODEL THE MARKOV CHAIN Performance Measures Deductions STOCHASTIC DECOMPOSITION PROPERTY NUMERICAL ILLUSTRATION CONCLUSIONS ACKNOWLEDGEMENT REFERENCES Application of Optimization and Statistical Techniques in Post-Harvest Supply Chain INTRODUCTION LITERATURE REVIEW APPLICATION OF OPTIMIZATION AND STATISTICAL TECHNIQUES IN POST-HARVEST SUPPLY CHAIN CONCLUSIONS REFERENCES Prioritization of Barriers for E-Waste Management in India Using Best Worst Method INTRODUCTION RESEARCH METHODOLOGY NUMERICAL ILLUSTRATION Research Desing Application of the Best Worst Methodology (BWM) for the Case CONCLUSION REFERENCES Section II. Soft Computing Models Fuzzy Analysis of Batch Arrival Priority Queueing System with Balking INTRODUCTION MODEL DESCRIPTION THE ANALYSIS AND QUEUE SIZE DISTRIBUTION PERFORMANCE INDICIES SPECIAL CASES SENSITIVITY ANALYSIS Fuzzy Results CONCLUDING REMARKS REFERENCES Application of Fuzzy AHP Approach for Evaluation of Sustainable Energy Sources in India INTRODUCTION LITERATURE SURVEY METHODOLOGY OF ANALYTIC HIERARCHY PROCESS (AHP)RESULT AND DISCUSSION CONCLUSIONS REFERENCES Fuzzy Based Evaluation of Optimal Service Time Using Execution/Communication Time and Clustering INTRODUCTION PROBLEM STATEMENT COMPUTATIONAL ALGORITHM PSEUDOCODE FOR METHOD MATHEMATICAL IMPLEMENTATION CONCLUSION AND DISCUSSION REFERENCES Solving Knapsack Problem with Genetic Algorithm Approach CONCEPT OF GENETIC ALGORITHMS THE KNAPSACK PROBLEM STEPS INVOLVED IN GENETIC ALGORITHM TERMINATION CONDITION Steps for Knapsack Problem Solving with GA CONCLUSION REFERENCES Section III. Statistical Models A Difference-Cum-Exponential Type Efficient Estimator of Population Mean INTRODUCTION NOTATIONS AND LITERATURE REVIEW SUGGESTED ESTIMATOR SPECIAL CASES EFFICIENCY COMPARISON EMPIRICAL STUDY SIMULATION CONCLUSION REFERENCES A Study of After-Effects of Kerala Floods Using VIIRS-OLS Nighttime Light Data INTRODUCTION DATASET AND STUDY AREA METHODOLOGY RESULTS AND DISCUSSIONS REFERENCES Indian Plate Motion Revealed by GPS Observations: Preliminary Results INTRODUCTION GPS OVERVIEW GPS DATA PROCESSING TIME SERIES ANALYSIS RESULTS AND DISCUSSION SUMMARY REFERENCES

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PROBLEM SOLVING AND MATHEMATICAL MODELING IN THE ELEMENTARY AND MIDDLE GRADES
Problem solving is central to mathematics and can challenge students’ curiosities and interest in mathematics. Polya’s (1945) seminal book, How to Solve It stated, A teacher of mathematics has a great opportunity. If he fills his allotted time with drilling his students in routine operations...
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posing tasks lor mathematical modeling through UNSTRUCTURED REAL-WoRLD PRoBLEMS to strengthen strategic competence
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