You are previewing Stochastic Processes and Models in Operations Research.
O'Reilly logo
Stochastic Processes and Models in Operations Research

Book Description

Decision-making is an important task no matter the industry. Operations research, as a discipline, helps alleviate decision-making problems through the extraction of reliable information related to the task at hand in order to come to a viable solution. Integrating stochastic processes into operations research and management can further aid in the decision-making process for industrial and management problems. Stochastic Processes and Models in Operations Research emphasizes mathematical tools and equations relevant for solving complex problems within business and industrial settings. This research-based publication aims to assist scholars, researchers, operations managers, and graduate-level students by providing comprehensive exposure to the concepts, trends, and technologies relevant to stochastic process modeling to solve operations research problems.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Book Series
    1. Mission
    2. Coverage
  5. Editorial Advisory Board
  6. List of Reviewers
  7. Preface
  8. Acknowledgement
  9. Chapter 1: A Method for Analyzing Queues in Fuzzy Environment
    1. ABSTRACT
    2. INTRODUCTION
    3. SOME BASICS ON FUZZY THEORY
    4. THE CRISP MODEL
    5. THE MODEL IN FUZZY ENVIRONMENT
    6. PERFORMANCE MEASURES OF INTEREST
    7. NUMERICAL STUDY
    8. A COMPARATIVE STUDY
    9. CONCLUSION
    10. REFERENCES
  10. Chapter 2: M/Ck/1 Queue with Impatient Customers
    1. ABSTRACT
    2. INTRODUCTION
    3. PHASE-TYPE DISTRIBUTIONS
    4. //1 QUEUING MODEL
    5. MODELING //1 QUEUE WITH IMPATIENT CUSTOMERS
    6. CONCLUSION
    7. REFERENCES
  11. Chapter 3: Performance Analysis of an M/G/1 Feedback Retrial Queue with Two Types of Service and Bernoulli Vacation
    1. ABSTRACT
    2. INTRODUCTION
    3. MATHEMATICAL DESCRIPTION
    4. EQUATIONS GOVERNING THE SYSTEM
    5. CONCLUSION
    6. REFERENCES
  12. Chapter 4: A Single Server Retrial Queueing System with Two Types of Batch Arrivals
    1. ABSTRACT
    2. INTRODUCTION
    3. THE MODEL
    4. THE ANALYSIS
    5. PARTICULAR MODELS
    6. PERFORMANCE MEASURES
    7. NUMERICAL STUDY
    8. CONCLUSION AND FURTHER RESEARCH DIRECTIONS
    9. REFERENCES
  13. Chapter 5: Analysis of Feedback Retrial Queue with Starting Failure and Server Vacation
    1. ABSTRACT
    2. INTRODUCTION
    3. MODEL DESCRIPTION
    4. CONCLUSION
    5. ACKNOWLEDGMENT
    6. REFERENCES
  14. Chapter 6: Performance Analysis of a Markovian Queuing System with Reneging and Retention of Reneged Customers
    1. ABSTRACT
    2. INTRODUCTION
    3. BACKGROUND
    4. QUEUING MODEL DESCRIPTION
    5. STEADY-STATE BALANCE EQUATIONS AND SOLUTION OF THE MODEL
    6. MEASURES OF PERFORMANCE
    7. COST MODEL AND OPTIMIZATION OF THE MODEL
    8. OPTIMUM SERVICE RATE
    9. OPTIMUM SYSTEM CAPACITY:
    10. CONCLUSION
    11. REFERENCES
  15. Chapter 7: A Stochastic Inventory Model with Multiple Vacations and N - Policy
    1. ABSTRACT
    2. INTRODUCTION
    3. MATHEMATICAL MODEL
    4. ANALYSIS
    5. STEADY STATE ANALYSIS
    6. SYSTEM PERFORMANCE MEASURES
    7. NUMERICAL ILLUSTRATIONS
    8. CONCLUSION
    9. REFERENCES
  16. Chapter 8: Analysis of Some Stochastic Inventory System in Supply Chain
    1. ABSTRACT
    2. 1. INTRODUCTION
    3. 2. THE MATHEMATICAL MODEL
    4. REFERENCES
    5. KEY TERMS AND DEFINITIONS
  17. Chapter 9: Stochastic Inventory System with Compliment Item and Retrial Customers
    1. ABSTRACT
    2. INTRODUCTION
    3. 2. MATHEMATICAL MODEL
    4. 3. ANALYSIS
    5. 4. SYSTEM PERFORMANCE MEASURES
    6. 5. COST ANALYSIS
    7. REFERENCES
  18. Chapter 10: Analysis of Two-Echelon Inventory System with Direct and Retrial Demands
    1. ABSTRACT
    2. 1. INTRODUCTION
    3. 2. MODEL DESCRIPTION: NON-PERISHABLE PRODUCT
    4. 3. MODEL DESCRIPTION-PERISHABLE PRODUCT
    5. 4. CONCLUSION
    6. REFERENCES
  19. Chapter 11: Substitutable Inventory System with Partial Backlogging under Continuous Review
    1. ABSTRACT
    2. INTRODUCTION
    3. MODEL DESCRIPTION
    4. SYSTEM PERFORMANCE MEASURES
    5. CONCLUSION
    6. REFERENCES
  20. Chapter 12: Perishable Inventory System with Bi-Level Service System
    1. ABSTRACT
    2. 1. INTRODUCTION
    3. 2. FORMULATION OF THE MODEL
    4. 3. ANALYSIS
    5. 4. SYSTEM PERFORMANCE MEASURES
    6. 5. COST ANALYSIS
    7. 6. NUMERICAL ANALYSIS
    8. 7. CONCLUSION
    9. REFERENCES
  21. Chapter 13: On Sequential Decision Problems with Constant Costs of Observation
    1. ABSTRACT
    2. INTRODUCTION
    3. GENERAL SOLUTION
    4. EXAMPLES
    5. SOME REMARKS ON RANDOM COST STRUCTURE
    6. FUTURE RESEARCH DIRECTIONS
    7. REFERENCES
  22. Chapter 14: Building Fuzzy Models of Stochastic Processes to Determine Probabilistic and Linguistic Types of Uncertainty
    1. ABSTRACT
    2. INTRODUCTION
    3. BASIC DEFINITIONS
    4. PROBABILISTIC AND FUZZY MODELING
    5. EXEMPLARY MODELING
    6. CONCLUSION
    7. REFERENCES
  23. Chapter 15: Utility Maximization and Optimal Portfolio Selection
    1. ABSTRACT
    2. 1. INTRODUCTION
    3. 2. UTILITY MAXIMIZATION IN A MODIFIED STEIN AND STEIN ENVIRONMENT
    4. 3. UTILITY MAXIMIZATION IN A MODIFIED COX AND ROSS ENVIRONMENT
    5. 4. CONCLUSION
    6. ACKNOWLEDGEMENT
    7. REFERENCES
  24. Chapter 16: Operations Research in Healthcare Supply Chain Management Under Fuzzy-Stochastic Environment
    1. ABSTRACT
    2. INTRODUCTION
    3. APPLICATIONS OF OR IN HEALTHCARE: REVIEW
    4. SUPPLY CHAIN MANAGEMENT IN HEALTHCARE
    5. OPTIMIZING INVENTORY DECISIONS IN A HEALTHCARE SUPPLY CHAIN
    6. NOTATIONS AND ASSUMPTIONS
    7. THE BASIC MODEL
    8. FUZZIFYING , , , AND TO TRIANGULAR FUZZY NUMBERS IN THE TOTAL COST
    9. NUMERICAL ANALYSIS
    10. CONCLUSION
    11. REFERENCES
  25. Compilation of References
  26. About the Contributors