Optimal strategy for determining pricing policy of a product under the influence of reworking during production

The study investigates optimal policies for determining price of the product under the influence of reworking during production. A mathematical model is proposed using optimal control theory for profit maximization, which determines the optimal pricing strategies. Moreover, we have considered reworking of imperfect items being produced during the machine shifts from in-control state to out-control state. Genetic Algorithm (GA) is employed to determine the optimum value of price. The result of the paper will be immensely beneficial for the decision makers, to identify the contribution of the selected parameters and its weightage during the entire life cycle of the product.

[1]  John W. Mamer,et al.  Discounted and Per Unit Costs of Product Warranty , 1987 .

[2]  Chao-Yu Chou,et al.  Determination of price and warranty length for a normal lifetime distributed product , 2006 .

[3]  Gerald L. Thompson,et al.  Optimal strategies for general price-quality decision models of new products with learning production costs , 1996 .

[4]  Theodore S. Glickman,et al.  Optimal Price and Protection Period Decisions for a Product Under Warranty , 1976 .

[5]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[6]  P. Douglas,et al.  A theory of production , 1928 .

[7]  Pei-Chun Lin,et al.  Dynamic optimisation of price, warranty length and production rate , 2009, Int. J. Syst. Sci..

[8]  Li-Yen Shue,et al.  Application of optimal control theory to product pricing and warranty with free replacement under the influence of basic lifetime distributions , 2005, Comput. Ind. Eng..

[9]  P. K. Kapur,et al.  Dynamic optimal control model for profit maximization of software product under the influence of promotional effort , 2012 .

[10]  Kent B. Monroe,et al.  The Effects of Time Constraints on Consumers' Judgments of Prices and Products , 2003 .

[11]  Vijay Kumar,et al.  Optimal allocation of testing effort during testing and debugging phases: a control theoretic approach , 2013, Int. J. Syst. Sci..

[12]  Georgia Perakis,et al.  A Robust Optimization Approach to Dynamic Pricing and Inventory Control with no Backorders , 2006, Math. Program..

[13]  S. Rajagopalan,et al.  A learning curve model with knowledge depreciation , 1998, Eur. J. Oper. Res..