# 臺灣博碩士論文加值系統

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 請參閱摘要(英)
 Advertising is the major tool for transmitting information of products to consumers. In this study, we consider an advertising media allocation problem with the objective to maximize the firm’s profit during the planning horizon. To obtain an optimal decision, an appropriate model that incorporates related variables is developed. The Lanchester model is the basis of the advertising media allocation decision model, for it is rich enough to provide a meaningful description of aggregate market profits. We focus on finite and equally-spaced discrete periods in this model. Since the advertising media allocation model is a non-linear programming model, a simulated annealing algorithm is employed to solve it. Other than presenting the procedure to solve the model with the simulated annealing algorithm, we explore the impacts on the objective function value of various values of the parameters. We also analyze the optimal advertising media allocation decisions against an even policy, advertising pulsing policy and advertising maintenance/pulsing policy implemented by the other major competitor respectively.
 CONTENTS ABSTRACT……………………………………………i LIST OF TABLES …………………………………v LIST OF FIGURES…………………………………vi Chapter 1 Introduction…………………………1 1.1 Advertising Media Allocation………………1 1.2 Research Objectives……………………………4 1.3 Outline of The Thesis…………………………6 Chapter 2 Literature Review………………………7 2.1 The Lanchester model……………………………7 2.1.1 The Original Lanchester Model…………………8 2.1.2 The Extended Lanchester Model……8 2.2 Advertising Models…………………10 2.2.1 Duopoly Models…………10 2.2.2 Oligopoly Models……………………12 Chapter 3 Model Formulation…………………………17 3.1 The Notation and Assumptions……………………17 3.2 The Media Allocation Model………………………19 Chapter 4 Simulated Annealing…………………………22 4.1 Introduction to Simulated Annealing……………22 4.1.1 The Analogy…………………………………………23 4.1.2 The Application of Simulated Annealing………24 4.2 The Algorithm of Simulated Annealing……………25 4.2.1 Local Search Strategies……………………………25 4.2.2 The Simulated Annealing Algorithm………………26 4.3 Cooling Schedule…………………………………………31 4.3.1 The Starting Temperature …………………………31 4.3.2 The Final Temperature ………………………………32 4.3.3 The Cooling Rateα….……………………………33 4.3.4 Number of Iterations at Per Cycle IPC…34 4.3.5 Stopping Criterion θ……………………………………………36 Chapter 5 Empirical Analyses……………………………38 5.1 Sensitivity Analysis of the Parameters…………38 5.1.1 Sensitivity Analysis of the Initial Market Share of Firm 1…41 5.1.2 Sensitivity Analysis of the Marginal Values of Firm 1…43 5.2 Sensitivity Analysis of SA Parameters……………45 5.2.1 Sensitivity Analysis of the Cooling Rateα……………………...45 5.2.2 Sensitivity Analysis of Different Values of the Starting Acceptance Probability …………………………46 5.2.3 Sensitivity Analysis of Different Combinations of theαand 47 5.3 The Analysis of the Advertising Policies…………49 5.3.1 Even Advertising Policy………………………………54 5.3.2 Advertising Pulsing Policy……………………………56 5.3.3 Advertising Pulsing/Maintenance Policy……………58 Chapter 6 Conclusions and Recommendation………………60 6.1 Conclusions…………………………………………………60 6.2 Recommendation………………………………………………62 References…………………………………………………………63 Appendix……………………………………………………………69