Fundamentals of Operations Research: Part 3: Queueing Theory with Applications

Description

Consider the problems involving any of the following: Given the rate at which customers arrive at a bank, establishing the number of tellers and how fast they should serve customers in the bank so as to keep the queues of customers below a given length and within the budget of the operations of the bank. The number of passport officers required to be on duty daily and the rate of processing the applications the officers should maintain, given the rate at which applications are made, so as to keep the waiting time for a passport after the date of application below a given period. The solutions to such category of optimisation problems and more (referred to as queueing optimisation problems) is found through queueing optimisation techniques discussed in this third book of the Operations Research series. As in case of the other books in the series, the approach to the development of the subject matter in this case focuses on the epistemological advancement of knowledge in queueing theory; emphasising data-based Operations Research approach (rather than the mathematical approach) to modelling of queueing optimisation problems. Whereby first the epistemological formation of Queueing Theory as a sub-discipline of Operations Research has been explicitly introduced and emphasised throughout the book. Second a clear distinction is made between for example the concept 'structural parameters of queueing systems' (as numerical indices used in building the queueing optimisation frameworks) and the rates of arrivals/rates of service (which are in terms of facts in the queueing optimisation problems). Third emphasis has been made in differentiating the queueing optimisation models from the various queueing optimisation problems solved through the respective frameworks; underscoring data and decision making as the underpinnings of the application of the models in solving the optimisation problems As much as the sub-discipline requires good knowledge in mathematics, the style of writing has been deliberately designed to make the book lecture Queueing Theory to the reader in such a way that the reader enjoys the subject matter and its applications without fear of numbers and mathematical formulae. After all, queueing optimisation techniques deal with facts and not just numbers, formulae and figures! The main topics covered in the book are as follows: 1: FOUNDATION CONCEPTS IN QUEUEING THEORY 1.1: EPISTEMOLOGICAL FORMATION OF QUEUEING OPTIMISATION 1.2: QUEUEING OPTIMISATION AMETS (QUOPAMETS) 1.3: QUEUEING SYSTEMS IN QUOPAMETS 1.4: STRUCTURE OF QUEUEING OPTIMISATION PROBLEMS 1.5: EXERCISES 2: QUEUEING OPTIMISATION FRAMEWORKS 2.1: INTRODUCTION 2.2: KOLMOGOROV AND EQUILIBRIUM EQUATIONS 2.3: OPERATIONS RESEARCH MODEL FOR COSTS CONSIDERATION 2.4: EXERCISES 3: SP;M[M;1] OPTIMISATION PROBLEMS AND FRAMEWORKS 3.1: SP;M[M;1] QUOPAMETS AND PROBLEMS 3.2: SP;M[M;1] OPTIMISATION FRAMEWORKS 3.4: SP;M[M;1] OPTIMISATION FRAMEWORK FITTING 3.5: EXERCISES 4: OTHER SPSC OPTIMISATION PROBLEMS AND FRAMEWORKS 4.1: SP;M[M;1;c;FCFS(1)] OPTIMISATION PROBLEMS AND FRAMEWORKS 4.2: SP;N;M[M;1] OPTIMISATION PROBLEMS AND FRAMEWORKS 4.3: SP;M[Ek;1], SP;M[G;1] AND SP;M[D;1] OPTIMISATION PROBLEMS AND FRAMEWORKS 4.4: EXERCISES 5: SPMC AND MULTIPLE-PHASE OPTIMISATION PROBLEMS AND FRAMEWORKS 5.1: SP;M[M;v;FCFS(1)] PROBLEMS AND OPTIMISATION FRAMEWORKS 5.2: SP;M[M;v;c;FCFS(1)] PROBLEMS AND OPTIMISATION FRAMEWORKS 5.3: AN OVERVIEW OF MULTIPLE-PHASE OPTIMISATION PROBLEMS AND FRAMEWORKS

Get the book

Amazon.com

Search the book

eBay.com

Search the book